DP Physics (last assessment 2024)

Question 17N.3.SL.TZ0.a

Date	November 2017	Marks available	[Maximum mark: 2]	Reference code	17N.3.SL.TZ0.a
Level	SL	Paper	3	Time zone	TZ0
Command term	Show that	Question number	a	Adapted from	N/A

[Maximum mark: 2]

17N.3.SL.TZ0.a

A monatomic ideal gas is confined to a cylinder with volume 2.0 x 10^–3 m³. The initial pressure of the gas is 100 kPa. The gas undergoes a three-step cycle. First, the gas pressure increases by a factor of five under constant volume. Then, the gas expands adiabatically to its initial pressure. Finally it is compressed at constant pressure to its initial volume.

Show that the volume of the gas at the end of the adiabatic expansion is approximately 5.3 x 10^–3 m³.

[2]

Markscheme

$500\,000 \times {\left( {2 \times {{10}^{ - 3}}} \right)^{\frac{5}{3}}} = 100\,000 \times {V^{\frac{5}{3}}}$

V = 5.3 x 10^–3 «m³»

Look carefully for correct use of pV^γ = constant

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Option B: Engineering physics

Option B: Engineering physics » Option B: Engineering physics (Core topics) » B.2 – Thermodynamics

Option B: Engineering physics » Option B: Engineering physics (Core topics)

Question 17N.3.SL.TZ0.a

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