IB Physics HL B.3.5 Ideal gas equations Question Bank

Practise IB Physics HL B.3.5 by combining pV=nRT, pV=NkBT and multi-state gas data in demanding calculation problems.

Exam points

Combine pV=nRT and pV=NkBT to connect macroscopic gas states with particle number and microscopic data.
Track SI units through linked pressure, volume, temperature and mole calculations in unfamiliar apparatus.

[Maximum number: 2]

(a)

An ideal monatomic gas is kept in a container of volume $2.1 \times 10^{-4} \mathrm{~m}^{3}$ , temperature 310 K and pressure $5.3 \times 10^{5} \mathrm{~Pa}$ .

[ 1 ]

(i)

Calculate the number of atoms in the gas.

[ 1 ]

$N=\ll \frac{p V}{k T}=\frac{5.3 \times 10^{5} \times 2.1 \times 10^{-4}}{1.38 \times 10^{-23} \times 310}-2.6 \times 10^{22}$

(b)

The volume of the gas in (a) is increased to $6.8 \times 10^{-4} \mathrm{~m}^{3}$ at constant temperature.

[ 1 ]

(i)

Calculate, in Pa , the new pressure of the gas.

[ 1 ]

$p_{2}=\ll 5.3 \times 10^{5} \times \frac{2.1 \times 10^{-4}}{6.8 \times 10^{-4}}>1.6 \times 10^{5}<\mathrm{Pa} \gg$

All question bank results loaded

B.3.5—Ideal gas equations question 1

Question (a)

Question (i)

Question (b)

Question (i)