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Question 18M.3.SL.TZ1.a

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Date May 2018 Marks available [Maximum mark: 2] Reference code 18M.3.SL.TZ1.a
Level SL Paper 3 Time zone TZ1
Command term Show that Question number a Adapted from N/A
a.
[Maximum mark: 2]
18M.3.SL.TZ1.a

The pressure–volume (pV) diagram shows a cycle ABCA of a heat engine. The working substance of the engine is 0.221 mol of ideal monatomic gas.

At A the temperature of the gas is 295 K and the pressure of the gas is 1.10 × 105 Pa. The process from A to B is adiabatic.

Show that the pressure at B is about 5 × 105 Pa.

[2]

Markscheme

« p 1 V 1 5 3 = p 2 V 2 5 3 »

1.1 × 10 5 × 5 5 3 = p 2 × 2 5 3

p2 «= 1.1 × 10 5 × 5 5 3 2.5 5 3 » = 5.066 × 105 «Pa»

 

Volume may be in litres or m3.

Value to at least 2 sig figs, OR clear working with substitution required for mark.

[2 marks]

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