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Question 17N.3.SL.TZ0.c

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

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.

The initial temperature of the gas is 290 K. Calculate the temperature of the gas at the start of the adiabatic expansion.

[2]

Markscheme

use of PV = nRT OR use of P T = constant

T = «5 x 290 =» 1450 «K»

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