Answer:
Pb(NO
3
)
2
+
2
KI
→
PbI
2
+
2
KNO
3
Explanation:
C + 2H2
CH4
For the reaction shown here, predict how many moles of methane can be produced from 72 grams of carbon in the presence of excess hydrogen gas.
A) 1
B) 2
C) 4
D) 6
Answer:
D
Explanation:
12g of carbon produces....... 1 mole of methane
72g of carbon will produce..1÷12 × 72 = 6moles
The chart below gives the atomic number and mass number of two elements.
Element I
Element II
Atomic number
10
9
Mass number
20
19
How many protons does Element II have?
09
O 10
O 19
O 20
Hikers noticed that a sealed bag of potato chips puffs up when taken to the top of a mountain. suppose that at the valley floor below, the air pressure is 1.0 atm, the temperature is 25°c, and the volume of the bag is 0.985 l. at the top of the mountain, the temperature is 22°c and the bag has puffed up to 1.030 l. what is the air pressure on top of the mountain? type in your answer using the correct number of significant figures. formula: p1v1 t1 = p2v2 t2 atm
Gas law gives the relation between the volume, moles, pressure, and temperature of the gas. The air pressure at the top of the mountain is 0.945 atm.
What is Gas law?Gas law gives the direct relationship between the pressure and the volume of the gas with that of the temperature of the gas.
Given,
Initial pressure = 1.0 atm
Initial volume = 0.985 L
Initial temperature = 298.15 K
Final pressure = ?
Final volume = 1.030 L
Final temperature = 295.15 K
The final pressure at the mountain top is calculated as:
[tex]\begin{aligned} \rm \dfrac{P_{1}V_{1}}{T_{1}} &= \rm \dfrac{P_{2}V_{2}}{T_{2}}\\\\\dfrac{1 \;\rm atm \times 0.985 \;\rm L}{ 298.15 \;\rm K} &= \;\rm \dfrac{P_{2} \times 1.030 \;\rm L}{295.15\;\rm K}\\\\&= 0.945 \;\rm atm\end{aligned}[/tex]
Therefore, the pressure on the top of the mountain is 0.945 atm.
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HELP
Determine the empirical formula of a compound containing 48.38
grams of carbon, 6.74 grams of hydrogen, and 53.5 grams of oxygen.
In an experiment, the molar mass of the compound was determined to be 180.15 g/mol.
What is the molecular formula of the compound?
For both questions, show your work or explain how you determined the formulas by
giving specific values used in calculations.
Answer:
I recently answered this question. The response I submitted is included below. I beleive my answer should be correct.
Explanation:
Question 1:
C: 48.38g(1mol/12g) = 4.0317
H: 8.12g(1mol/1.01g) = 8.12
O: 53.5g(1mol/16g) = 3.34375
Divide by the smallest amount (3.34375)
C = 4.0317/3.34375 = 1.206 = 1
H = 8.12/3.34375 = 2.42 = 2
O = 3.34375/3.34375 = 1
Empirical formula = CH2O
Question 2:
Molecular formula = n(empirical formula)
n = molar mass (compound)/molar mass (empirical)
Empirical formula: CH2O
Molar mass of CH2O = 12 + 2x1 + 16 = 30 g/mol
Molar mass of compound: 180.15 g/mol
[tex]n = \frac{180.15g/mol}{30g/mol} = 6[/tex]
Molecular formula = C6H12O6
my teacher hasnt graded yet, but i got the same answer as the guy above. i did my best to explain the process for y'all if you genuinely don't understand/know how to do it. THE PROCESS IS VERY LONG, but youll get it eventually if i didnt help lol GOODLUCK
and yes, the molecular formula is C6H12O6
Br2(g) cl2(g)⇌2brcl(g) δh∘f for brcl(g) is 14. 6 kj/mol. Δs∘f for brcl(g) is 240. 0 j/mol
The Change in Gibb's free energy, ΔG for the reaction at 298K is; -56.92KJ.
Gibb's free energy of reactionsIt follows from the Gibb's free energy formula as expressed in terms of Enthalpy and Entropy that;
ΔG = ΔH - TΔSOn this note, it follows that;
ΔG = 14.6 - (298× 0.24)Hence, the Gibb's free energy for the reaction is;
ΔG = 14.6 - 71.52ΔG = -56.92KJRemarks: The question requires that we determine the Gibb's free energy for the reaction at 298K.
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The Gibbs free energy for the reaction Br²(g) Cl²(g)⇌2BrCl(g) is -56.92 KJ.
What is Gibbs Free energy?It's the total work done in a closed thermodynamic system.
By the formula of Gibbs free energy
[tex]\rm \Delta G = \Delta H - T \Delta S[/tex]
The H is 14.6 KJ/mol
The change in temperature is 0.24
Putting the values in the equation
[tex]\Delta G = 14.6 - (298 \times 0.24)\\\\ \Delta G = 14.6 - 71.52\\\\ \Delta G = -56.92KJ[/tex]
Thus, the Gibbs free energy for the reaction is -56.92 KJ
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A heated metal object whose temperature is 50 °C is dropped into
a tub of water whose temperature is 0°C. What will happen to the
temperature of the metal and water after 5 minutes?
answer: the oject would break because of the amount of cooling added to the mass so after five minutes it would start to crust a little bit. and the temprature would decrese jarastically
Explanation:
yes
A student has a sample of isopropanol (C3H7OH) that has a mass of 78. 6 g. The molar mass of isopropanol is 60. 1 g/mol. How many moles of isopropanol are contained in this sample? 0. 765 moles 1. 31 moles 78. 6 moles 4,720 moles.
Mole is the ratio of the mass to the molar mass of the substance and its unit is mol. The moles of isopropanol in the sample are 1. 31 moles.
What are moles?Moles are the unit of measurement of the smallest entity of atoms, molecules, and compounds.
Given,
Mass of isopropanol (m) = 78. 6 g
Molar mass of isopropanol = 60. 1 g/mol
Moles of isopropanol is calculated as:
[tex]\begin{aligned} \rm moles (n) &= \rm \dfrac{mass}{molar \; mass}\\\\&= \dfrac{78.6}{60.1}\\\\&= 1.31\;\rm moles\end{aligned}[/tex]
Therefore, moles of isopropanol are option b. 1.31 moles.
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Explain the process of photosynthesis. Make sure to give the inputs and outputs.
help im failing science
Answer:
Photosynthesis is the process by which carbon dioxide and water are converted into oxygen and glucose. The plant consumes glucose as food, and oxygen is produced as a by-product. During cellular respiration, oxygen and glucose are converted to water and carbon dioxide. Water and carbon dioxide are by-products of the process, while ATP is the energy that is transformed. Water, carbon dioxide, and energy in the form of sunshine are all inputs in photosynthesis, and the outputs are glucose and oxygen.
Answer:
photosynthesis takes carbon dioxide from our atmosphere and turns it into oxygen. A plant requires sunlight, water, and carbon dioxide to make both sugar and oxygen. . Input: For photosynthesis to take place, water from the roots, carbon dioxide from the air, and energy from the sunlight are needed. Output: Photosynthesis creates glucose (sugar) used for/stored as food and releases oxygen into the air.
Explanation:
what is the difference between melting point and boiling point?
The melting point is the temperature a substance must reach to go into its liquid phase (or solid) and a boiling point is the temperature a substance must reach to go into its gas phase (or liquid). For example, water must be 0ºC to melt or freeze and 100ºC to boil.
what are 2 of the characteristics of temporary physical change
Answer:
Temporary in nature.
No new substance is formed.
Explanation:
Temporary in nature: Does not affect the internal structure of a substance, only the molecules are rearranged.
No new substance is formed: Most of the physical changes are reversible. We can obtain the substance back even after the change.
hope this helps
have an awesome day -TJ
Answer:
Doesnot affect the internal structure of the substance.no new substance is formed.temporary in nature...How does weathering help to create soil? Please Help Asap
Weathering adds organic material to the soil.
Weathering builds up the rocks that create the deepest soil layer.
Weathering compacts small particles into larger rock pieces.
Weathering breaks parent material into smaller pieces.
Answer:
D. Weathering breaks parent material into smaller pieces.
Explanation:
I believe it is D. because weathering breaks down and loosens it into smaller pieces.
I hope it helps! Have a great day!
Muffin ^^
Answer:
Your answer would be:
D.) Weathering breaks parent material into smaller pieces.
Explanation:
Weathering breaks down and loosens the surface minerals of rock. The broken rocks are transported to another place where it decomposes and forms soil. Therefore weathering is important for soil formation. Without it, there will be likely less soil.
Have a great rest of your day
#TheWizzer
Answer these questions based on 234. 04360 as the atomic mass of thorium-234. The masses for the subatomic particles are given. Round the mass defect to the 5th decimal place. Mass of a proton: 1. 00728 amu mass of a neutron: 1. 00866 amu How many protons does Thorium have? How many neutrons does Thorium-234 have? Calculate the mass defect for the isotope thorium-234 = amu.
The mass defect for the isotope thorium-234 if given mass is 234.04360 amu is 1.85864 amu.
How do we calculate atomic mass?Atomic mass (A) of any atom will be calculated as:
A = mass of protons + mass of neutrons
In the Thorium-234:
Number of protons = 90
Number of neutrons = 144
Mass of one proton = 1.00728 amu
Mass of one neutron = 1.00866 amu
Mass of thorium-234 = 90(1.00728) + 144(1.00866)
Mass of thorium-234 = 90.6552 + 145.24704 = 235.90224 amu
Given mass of thorium-234 = 234.04360 amu
Mass defect = 235.90224 - 234.04360 = 1.85864 amu
Hence required value is 1.85864 amu.
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The equation for the burning of hydrogen is:
2H2(g) + O2(g) → 2H2O(g)
One mole of hydrogen gas is mixed with one mole of oxygen gas and burnt. What will
be present after the reaction?
What is the difference between solvation and dissociation
Answer:
The key difference between dissociation and solvation is that dissociation is the breakdown of a substance into the atoms or ions from which the substance is made of whereas solvation is the dissolution of a substance in a solvent due to the attraction forces between solvent molecules and the components.
Explanation:
Solvation refers to the process of surrounding solute particles with solvent molecules, leading to the formation of a solution. Dissociation specifically refers to the breaking apart of ionic compounds or molecules into their constituent ions when dissolved in a solvent.
Solvation occurs due to the attractive forces between the solute and solvent molecules, such as dipole-dipole interactions or hydrogen bonding. The result of solvation is the formation of a homogeneous solution where the solute particles are evenly distributed at the molecular level within the solvent.
Ionic compounds are composed of positively charged cations and negatively charged anions held together by electrostatic forces. When an ionic compound is dissolved in a solvent, such as water, the solvent molecules interact with the compound's ions, pulling them apart and surrounding them.
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1. Given the following equation:
_____ K2PtCl4 + _____ NH3 --------> _____ Pt(NH3)2Cl2 + _____ KCl
a) Balance the equation.
b) Determine the theoretical yield of KCl if you start with 34.5 grams of NH3.
c) Starting with 34.5 g of NH3, and you isolate 76.4 g of Pt(NH3)2Cl2, what is the percent yield?
2. Given the following equation:
H3PO4 + 3 KOH ------> K3PO4 + 3 H2O
a) If 49.0 g of H3PO4 is reacted with excess KOH, determine the percent yield of K3PO4 if you isolate 49.0 g of K3PO4.
3. Given the following equation:
Al2(SO3)3 + 6 NaOH ------> 3 Na2SO3 + 2 Al(OH)3
a) If you start with 389.4 g of Al2(SO3)3 and you isolate 212.4 g of Na2SO3, what is your percent yield for this reaction?
4. Given the following equation:
Al(OH)3(s) + 3 HCl(aq) -------> AlCl3(aq) + 3 H2O(l)
a) If you start with 50.3 g of Al(OH)3 and you isolate 39.5 g of AlCl3, what is the percent yield?
5. Given the following equation:
K2CO3 + HCl --------> H2O + CO2 + KCl
a) Balance the equation.
b) Determine the theoretical yield of KCl if you start with 34.5 g of K2CO3.
c) Starting with 34.5 g of K2CO3, and you isolate 3.4 g of H2O, what is the percent yield?
The percent yield obtained from the stoichiometry of the reaction when the moles of the reactants and products are known.
What is stoichiometry?Stochiometry gives the relationship between the mass and mole or moles and volume in a reaction.
Q1)
K2PtCl4 + 2NH3 ----> Pt(NH3)2Cl2 +2KCl
Number of moles of NH3 = 34.5 g/17 g/mol = 2.03 moles
2 moles of NH3 yields 2 moles of KCl
2.03 moles of NH3 yields 2.03 moles of KCl
Theoretical yield of KCl = 2.03 moles * 75 g/mol = 154 g
Again,
2moles of NH3 yields 1 mole of Pt(NH3)2Cl2
2.03 moles of NH3 yields 2.03 moles * 1/2 = 1.015 moles
Mass of Pt(NH3)2Cl2 = 1.015 moles * 301 g/mol = 306 g
% yield = 76.4 g/306 g * 100/1 = 25%
Q2)
H3PO4 + 3 KOH ------> K3PO4 + 3 H2O
Number of moles of H3PO4 = 49.0 g/98 g/mol = 0.5 moles
If mole of H3PO4 yield 1 mole of K3PO4
0.5 moles of H3PO4 yield 0.5 moles of K3PO4
Mass of K3PO4 = 212 g/mol * 0.5 moles = 106 g
Percent yield = 49.0 g/106 g * 100 = 46%
Q3)
Al2(SO3)3 + 6 NaOH ------> 3 Na2SO3 + 2 Al(OH)3
Number of moles of Al2(SO3)3 = 389.4 g/294 g/mol = 1.32 moles
If 1 mole of Al2(SO3)3 yields 3 moles of Na2SO3
1.32 moles of Al2(SO3)3 yields 1.32 moles * 3 moles/1 mole = 3.96 moles
Mass of Na2SO3 = 3.96 moles * 126 g/mol = 498.96 g
Percent yield = 212.4 g/498.96 g * 100/1 = 43%
Q4)
Al(OH)3(s) + 3 HCl(aq) -------> AlCl3(aq) + 3 H2O(l)
Number of moles of Al(OH)3 = 50.3 g/78 g/mol = 0.64 moles
If 1 mole of Al(OH)3 yields 1 mole of AlCl3
0.64 moles of Al(OH)3 yields 0.64 moles of AlCl3
Mass of AlCl3 = 133 g/mol * 0.64 moles = 85 g
Percent yield = 39.5 g/85 g * 100 = 46%
Q5) K2CO3 + 2HCl --------> H2O + CO2 + 2KCl
Number of moles of K2CO3 = 34.5 g/138 g/mol = 0.25 moles
1 mole of K2CO3 produces 2 moles of KCl
0.25 moles of K2CO3 produces 0.25 moles * 2 moles/1 mole = 0.5 moles
Mass of KCl = 0.5 moles * 75 g/mol = 37.5 g
If 1 mole of K2CO3 yields 1 mole of H2O
0.25 moles of K2CO3 yields 0.25 moles of H2O
Mass of H2O = 0.25 moles * 18 g/mol = 4.5 g
Percent yield = 3.4 g/4.5 g *100 = 76%
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Why water is known as the "universal solvent?"
A. Because of water's polarity, it is not able to dissolve or dissociate many particles.
B. Because water is a polar molecule, it is able to dissolve or dissociate many particles.
C. Because water is a nonpolar molecule, it is able to dissolve or dissociate many particles.
A. I not sure kinda. Hopefully it's correct
A neutralization reaction between HCl and NaOH has taken place in the lab, below is the data. Please determine the concentration of the unknown HCl solution. Please make sure all final answers are written using the correct number of significant figures and using scientific notation.
1 HCl + 1 NaOH 1 H2O + 1 NaCl
Molarity of NaOH = 1.00 M
What is the change in volume of NaOH?
From the table showing the data involving the neutralization reaction between HCl and NaOH, the concentration of the HCl solution would be 0.864 M
Titration calculationFrom the available data:
Volume of acid used = 0.0351 - 0.0131 = 0.022 L
Volume of base used = 0.0575 - 0.0385 = 0.019 L
Concentration of base = 1.00 M
Number of moles of acid and base = 1
Using the equation: CaVa/CbVb = Na/Nb = 1
Ca = 1x0.019/0.022 = 0.864 M
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please help
pick the right square
Select the correct location on the image. Objects A and B are brought close to each other. Object A will soon become positively charged. Identify the charge that must transfer for this situation to occur.
Answer:
turn it
Explanation:
Accurate information
Answer:
For The first one I think its the + if not try -
For the second one I believe its the first - sign
Explanation:
Which effect can you observe when the starting K2Cr2O7is diluted? Does the position (lambda) of the maximal absorption peaks change? Describe your observations.
After the dillution of the solution, the wavelength of maximum absorption is decreased.
What is the wavelength of maximum absorption?The wavelength of maximum absorption is the wavelength at which the solution absorbs the maximum amount of light. It is usually shown as a hump in the spectrum.
When the starting concentration of the K2Cr2O7 is diluted, the wavelength of maxium absorption decreases.
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During which process in the water cycle does water release thermal energy? Explain how you know.
Answer:
evaporation
Explanation:
Evaporation occurs when a liquid changes to a gas. During evaporation, molecules gain enough thermal energy to escape from the liquid surface into the air as water vapor.
hope this helps
What is the meaning of N, E, M, and S in periodic table Need ASAP!
Answer:
Molybdenum is M, Einsteinium is E, and N is Nitrogen. Lastly, S is sulfur.
How do changes in the atmosphere from burning fossil fuels affect plant life? Select the two correct answers.
Increased carbon dioxide levels slow plant growth.
Acid rain removes nutrients from soil.
Increased nitrogen dioxide levels provide nutrients for plants.
Warmer temperatures support plant growth.
Increased ozone levels slow plant growth.
What happens when carbon dioxide from the atmosphere dissolves in seawater?(1 point)
Ocean waters become more acidic.
Ocean temperatures rise.
Ocean levels rise.
Oceans are better able to support most sea life.
Which of the following chemicals are pollutants released when people burn fossil fuels? Select the two correct answers.(1 point)
helium oxide
dihydrogen oxide
nitrogen dioxide
argon dioxide
sulfur dioxide
How does the use of fossil fuels affect the cryosphere?(1 point)
Acid rain containing sulfur dioxide corrodes sea ice and glaciers.
Higher levels of greenhouse gases in the atmosphere cause sea ice to melt.
Higher levels of ground-level ozone protect glaciers from the sun's rays.
Particulate matter in the atmosphere helps new glaciers form.
Why are rising carbon dioxide levels in the atmosphere harmful?(1 point)
Carbon dioxide increases people's risk of asthma.
Carbon dioxide blocks the sun's rays from reaching Earth's surface.
Carbon dioxide traps heat in Earth's atmosphere.
Carbon dioxide harms plant life.
Acid rain removes nutrients from soil and Ocean waters become more acidic.
Effect of burning fossil fuels on plant life and atmosphereOcean waters become more acidic when carbon dioxide from the atmosphere dissolves in seawater because the carbondioxide reacts with water produces carbonic acid.
When fossil fuels are burned, they release nitrogen oxides into the atmosphere, which contribute to the formation of smog and acid rain.
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Answer:
How do changes in the atmosphere from burning fossil fuels affect plant life? Select the two correct answers.
-Acid rain removes nutrients from soil.
-Increased ozone levels slow plant growth.
What happens when carbon dioxide from the atmosphere dissolves in seawater?(1 point)
-Ocean waters become more acidic
Which of the following chemicals are pollutants released when people burn fossil fuels? Select the two correct answers.(1 point)
-nitrogen dioxide
-sulfur dioxide
How does the use of fossil fuels affect the cryosphere?(1 point)
-Higher levels of greenhouse gases in the atmosphere cause sea ice to melt.
Why are rising carbon dioxide levels in the atmosphere harmful?(1 point)
-Carbon dioxide traps heat in Earth's atmosphere.
Explanation:
If 15.0 mL of 12.0 M H3PO4 reacts with 100.0 mL of 3.50 M of Ba(OH)2 , which substances is the limiting reactant?
2 H3PO4 + 3 Ba(OH)2 -> 6 H2O + BA3 ( PO4 )2
Use the formula stated below
[tex]\boxed{\sf Molarity=\dfrac{Moles\:of\:solute}{Volume\:in\:L}}[/tex]
So
#H_3PO_4
No of moles[tex]\\ \tt\Rrightarrow n=0.015(12)=0.18moles[/tex]
#Ba(OH)_2
[tex]\\ \tt\Rrightarrow n=0.1(3.5)=0.35mol[/tex]
Barium hydroxide is moreHence H_3PO_4 is the limiting reagent
Answer:
hope it's helpful to you
Which of the following is pure compound?
Ethanol,petrol,steel ,tapwater
Answer:
tap water Is the pure substance
Answer:
Ethanol is pure
Explanation:
Purity meaning homogenious molecules/atoms, steel is a mix of iron and carbon, tapwater has minerals in it + fluoride etc, petrol has oxane and ethanol in it. ethanol is only ethanol and is inherently pure
The colour of outer zone of candle flame is _________.
A. orange
B. blue
C. red
D. yellow
Answer:
Explanation:
At the outer zone of candle flame, there are more oxygen available for the combustion reaction. So the flame is yellow in color.
The answer is D. yellow.
Answer:
B. blue
Explanation:
The candle's flame is divided into three zones: blue on the outside, yellow in the midst, and black on the inside. This is the result of the wax that is formed after the meltdown of the candle.
I am joyous to assist you at any time.
How are Dams good and Bad for the environment?
Help!!
Answer:
Dams can stop a place from flooding and give us electricity without creating pollution. It can also make a place dry and finish water for animals
Explanation:
What are the answers for The brainPOP digestive systems 1-10
Answer:
Q.
Why do we need to break apart the food we eat?
answer choices
so it can fit in our stomachs
so our bodies can use the nutrients from the food
so liquids can be separated from solids
so that our enzymes have something to do
2nd option
Where does digestion begin?
answer choices
mouth
stomach
large intestine
small intestine
first option
Q.
Chewing is an example of what kind of digestion?
answer choices
dental
fragmentary
chemical
mechanical
last option
If you wanted to find the glands that produce salivary amylase, where would you look?
answer choices
mouth
throat
intestines
stomach
first option
Place in order:
A. food enters large intestine
B. food enters small intestine
C. food enters esophagus
answer choices
A B C
C B A
C A B
B A C
2nd option
Hydrochloric acid can burn your skin yet it exists in your stomach. How can this be?
answer choices
small intestines absorb the acid
stomach lining protects you against burns
food in stomach absorbs the acid
the acid in your stomach is different from the acid in a chemistry lab
2nd option
What is chyme?
answer choices
a type of digestive enzyme
what food is called after it has been digested by the stomach
a chemically active part of the small intestine
a passage that leads from small to large intestine
2nd option
Q.
What might happen if you had your pancreas removed?
answer choices
your intestines might have trouble breaking down food
your stomach might have trouble producing hydrochloric acid
you would not be able to chew properly
you would have trouble producing saliva
first option
Q.
What is the main function of villi?
answer choices
to move food from the stomach to the small intestine
to absorb nutrients into the bloodstream
to absorb water from chyme
to move food from small intestine to large intestine
2nd option
Q.
What might happen if your large intestine did not absorb water from chyme?
answer choices
you couldn't digest food
you wouldn't be able to go to the bathroom
you'd become dehydrated
solid waste wouldn't be moved to the rectum
3rd option
Explanation:
I hope this helps
I got my answers in quiziz
What are the three major branches of natural science?
• Earth and space science, life science, physical science
•Earth and space science, physical science, chemistry
•Physical science, life science, chemistry
•Life science, chemistry, physics
Explanation:
The three major branches of natural science are1.Physical,the study of universe.2.Chemistry,the study of matter.3.Biology,the study of life and living or organisms.have a good day.I hope this answer can help youAnswer:
here:)
Explanation:
Natural Sciences is the core of the branches of science as studies the nature of our physical world and the universe. The three branches of Natural Sciences are:
Physics, the Study of Universe.
Chemistry, the Study of Matter.
Biology, the Study of Life and Living Organisms.
How many grams of sodium hydroxide (NaOH) do you need to get rid of 3000 grams of CO2? Don't worry about sig figs for this question.
Answer:
It would require 80 g of NaOH .
Explanation:
It's sunny in New York, but it is cool. Where would you expect to find this lizard during the day? Question 16 options: Under a rock In a damp stream bed Basking in a sunny spot In a hole in the ground.
It's sunny in new york, but it is cool, we will expect to find lizard under a rock or in a hole in the ground, where temperature is more than outside.
Why lizards are not comfortable in cold?Lizards are not easily survive in the winter season as they are cold blooded animal, so their body will not active in the winter season.
During the winter season or in the cold weather, lizards will go to the places where they feel less cooling. And these places be like inside the rocks, under a hole, under the ground, in the trunks of trees, etc. due to high temperature.
Hence, options (1) and (4) are correct.
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