An IB Chemistry data booklet is helpful
5. A fixed mass of a gas occupies 40cm3 at 26.85°C. At what temperature, in °C, will the volume of gas be 80cm3 if the pressure remains constant?
7. Which graph represents the relationship between the volume (in cm3) and the temperature (in °C) of a fixed mass of an ideal gas at constant pressure?
The volume of the gas is halved and the temperature (in K) of the gas is doubled. What is the new gas pressure after these changes?
Question 1:
Let’s go through each option:
A. There is a weak attractive force between the molecules In an ideal gas, it is assumed that there are no intermolecular forces. So weak attractive forces are not a characteristic of an ideal gas — this statement is false for an ideal gas.
B. Gas molecules occupy a negligible volume This is true for an ideal gas (point particles).
C. Gas molecules are in random motion This is true for an ideal gas (kinetic theory).
D. Only elastic collisions occur between molecules This is true for an ideal gas (kinetic energy conserved in collisions).
Thus, the one that is NOT a characteristic is 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 2:
The relationship between the pressure and volume of a fixed mass of an ideal gas at a constant temperature is described by Boyle's Law.
According to Boyle's Law, pressure is inversely proportional to volume. This means as the volume of the gas increases, its pressure decreases, and vice versa.
The graph that best represents this relationship is a downward-sloping curve (a hyperbola) when pressure (P) is plotted against volume (V). The equation for this relationship is PV=k, where k is a constant.
This is shown by graph A.
Question 3:
For an ideal gas, we assume:
No intermolecular forces.
Molecules have negligible volume.
Real gases deviate from ideal behavior when:
Pressure is high → molecules are forced closer together, so the volume of molecules is no longer negligible.
Temperature is low → molecules have less kinetic energy, so intermolecular attractions become significant.
Thus, the greatest deviation occurs at low temperature and high pressure.
Question 4:
We use the ideal gas law:
Here, n n and R R are constant.
Initially: P1V1=nRT1
After changes:
Volume doubled → V2=2V1
Temperature doubled (in K) → T2=2T1
New equation:
But nRT1=P1V1 , so:
Divide both sides by 2V1 :
So the pressure remains the same. This corresponds to answer A.
Question 5:
We can solve this using Charles’s law:
where temperature is in kelvin.
Step 1: Convert given temperature to Kelvin
Step 2: Solve for T2:
40/300=80/T2
So T2=80 × 300/40 = 80 × 7.5 = 600 K
Step 3: Convert T2 T 2 back to °C
Step 4: Match with options
Question 6:
We can use the combined gas law:
Step 1: Identify given values
V1=100 cm3
P2=½P1
T2=½T1
V2=?
Step 2: Substitute into the equation
Step 3: Simplify the right-hand side
P1⋅100/T1= (½/½)P1⋅V2 /T1 = P1⋅V2 /T1
Step 4: Equate both sides
Cancel P1/T1from both sides:
Step 5: Conclusion
The new volume is 100 cm3. Answer B.
Question 7:
The graph that represents the relationship between the volume and the temperature in kelvin of a fixed mass of an ideal gas at constant pressure is a straight line passing through the origin of the Kelvin temperature scale.
This relationship is described by Charles's Law.
Charles's Law Explained Charles's Law states that for a fixed mass of an ideal gas at constant pressure, the volume (V) is directly proportional to its absolute temperature (T).
Mathematically:
V∝T or V = kT =k(where k is a constant) If you plot Volume (y-axis) against Temperature (x-axis):
Using the Kelvin Scale (Absolute Temperature): The graph is a straight line that passes through the origin (0,0), demonstrating the direct proportionality. At 0 K, the theoretical volume of the gas is zero.
Using the Celsius Scale: The graph is still a straight line, but it does not pass through the origin. Instead, the line extrapolates (extends backward) to the x-axis (zero volume) at a temperature of −273.15 °C (Absolute Zero).
Since the question asks for the temperature in °C, the correct graph is a straight line that, when extrapolated, intersects the x-axis at −273.15 °C.
*The line will therefore be straight, but have a positive value at 0°C. This corresponds to graph C. The Silverback (edit )
Question 8:
Step 1: Convert units to match R (8.31 J K⁻¹ mol⁻¹)
Pressure P=100 kPa=1.0×105 Pa
Volume V=2000 cm3= 2.0×10−3 m3
Temperature T=400 K
Step 2: Solve for n
Substitute:
Step 3: Match with given options
B: 100 x 2 is the same as our (1.0×105)×(2.0×10−3)
That’s correct.
* The Silverback (edit - removed the other options which are incorrect, for brevity)
Question 9:
We use the combined gas law:
P1=4 kPa
V2=½V1
T2=2T1
P2=?
So:
Step 4: Cancel V1/T1from both sides
The new pressure is 16 kPa
Question 10:
where n=m/M, with m= mass, M = molar mass.
Step 1: Identify given values in correct units
m=2.00 g
V=500 cm3=5.00×10-4 m3
T=24.85∘C=24.85+273.15≈298 K
P=1.01×105 Pa
R=8.31 J K−1mol−1
Step 2: Write expression for M
M=mRT / PV
Step 3: Match with options
That matches C exactly: