Question 1:

In the ideal gas equation PV=nRT, 'n' is:

B. the number of moles of gas.

This represents the amount of substance in moles, which is a measure used in chemistry to quantify the number of particles.

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 2:

Let’s go step by step.

Step 1: Understand the data
Atomic mass of Helium = 4 g/mol (since atomic mass 4 means molar mass ≈ 4 g/mol for helium-4).
Given mass = 20 g.

Step 2: Use the mole formula:

moles = mass / molar mass

moles = 20 /4 = 5 moles
So, there are 5 moles of helium gas.

Answer C

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 3:

For an ideal gas, the kinetic theory assumptions are:

• The molecules are point masses — their size is negligible compared to the distances between them. (Statement I is true.)
• No intermolecular forces except during collisions. (Statement II is true.)
• All collisions are elastic — kinetic energy is conserved in collisions between molecules and with the walls. (Statement III is true.)

All three statements are correct for an ideal gas.

D

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 4:

Here are the relationships between quantities for an ideal gas:
Pressure (y-axis) to Temperature in Kelvin (x-axis), at constant volume and mass of gas: Pressure is directly proportional to the temperature in Kelvin at constant volume and mass of gas. This is known as Gay-Lussac's Law or Amontons's Law. If the temperature in Kelvin increases by a certain factor, the gas pressure increases by the same factor.

A proportional relationship is shown by graph C.

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 5:

Pressure (y-axis) to Volume (x-axis), at constant temperature and mass of gas: Pressure is inversely proportional to the volume at constant temperature and mass of gas. This is known as Boyle's Law.

An inversely proportional relationship is shown by graph A.

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 6:

Mean kinetic energy of molecules (y-axis) to Temperature in Kelvin (x-axis): Higher temperature means that particles will have more kinetic energy, hitting the walls of the container faster and more frequently. The mean kinetic energy of molecules is directly proportional to the temperature in Kelvin.

A proportional relationship is again shown by graph C.

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 7:

A real gas behaves like an ideal gas when:

Low density → molecules are far apart, so intermolecular forces are negligible and molecular volume is negligible compared to container volume.

Low pressure → same idea: low pressure means molecules are far apart on average.

So the correct choice is low density, low pressure.

A

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 8:

For a monatomic ideal gas, the internal energy U is given by:

U = (3/2)nRT

From the ideal gas law PV=nRT, we substitute

nRT=PV:

U = (3/2) PV

So the correct option is B.

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 9:

We start with the ideal gas law:
PV=nRT
Initial state:
P,V,T

New state:
V' = V/2
T' = 4T
n constant.

P'V'= =nRT'
so:
P'V/2 = nR(4T)

From initial state:
nR = PV/T
Substitute:

P' V/2 = (PV/T)(4T) which after cancelling V and T leads to:
P' = 8P
Answer D

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 10:

The average translational speed of gas particles is given by:

where P is the pressure and ρ is the density.

From the previous problem,the pressure changed from P to 8P.

Since the volume halved with the same mass of gas in it, the density ρ must have doubled.

Since v² ∝ P/ρ,

So the new average speed is 2v.

Answer C

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.