Solved: A quantity of 0.24 mol of an ideal gas of constant volume 0.20 $m^3$ is kept at a... [IB Physics]

Question

SLPaper 2

A quantity of 0.24 mol of an ideal gas of constant volume 0.20 $m^3$ is kept at a temperature of 300 K. Calculate the pressure of the gas.

[1]

Verified

Solution

$p=«\frac{nRT}{V}=\frac{0.24 \times 8.31 \times 300}{0.20}=» 3.0 \times 10^3$ « Pa» 1 mark

A container is filled with 1 mole of helium (molar mass 4 g mol $^{-1}$ and 1 mole of neon (molar mass 20 g mol $^{-1}$ . Compare the average kinetic energy of helium atoms to that of neon atoms.

[2]

Verified

Solution

temperature is the same for both gases 1 mark

«average» kinetic energy is the same «because $E_k=\frac{3}{2}kT$ OR $E_k$ depends on $T$ only» 1 mark

Award 1 max for a bald statement that kinetic energy is the same.

State what is meant by the internal energy of an ideal gas.

[1]

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Solution

the total «random» kinetic energy of the molecules/atoms/particles 1 mark

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Question

SLPaper 2

A quantity of 0.24 mol of an ideal gas of constant volume 0.20 $m^3$ is kept at a temperature of 300 K. Calculate the pressure of the gas.

[1]

Verified

Solution

$p=«\frac{nRT}{V}=\frac{0.24 \times 8.31 \times 300}{0.20}=» 3.0 \times 10^3$ « Pa» 1 mark

A container is filled with 1 mole of helium (molar mass 4 g mol $^{-1}$ and 1 mole of neon (molar mass 20 g mol $^{-1}$ . Compare the average kinetic energy of helium atoms to that of neon atoms.

[2]

Verified

Solution

temperature is the same for both gases 1 mark

«average» kinetic energy is the same «because $E_k=\frac{3}{2}kT$ OR $E_k$ depends on $T$ only» 1 mark

Award 1 max for a bald statement that kinetic energy is the same.

State what is meant by the internal energy of an ideal gas.

[1]

Verified

Solution

the total «random» kinetic energy of the molecules/atoms/particles 1 mark

Still stuck?

Get step-by-step solutions with Jojo AI

Free

Want more practice questions for Physics?