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Question 19N.3.SL.TZ0.b(ii)

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Date November 2019 Marks available [Maximum mark: 2] Reference code 19N.3.SL.TZ0.b(ii)
Level SL Paper 3 Time zone TZ0
Command term Explain Question number b(ii) Adapted from N/A
b(ii).
[Maximum mark: 2]
19N.3.SL.TZ0.b(ii)

An ideal gas consisting of 0.300 mol undergoes a process ABCD. AB is an adiabatic expansion from the initial volume VA to the volume 1.5 VA. BC is an isothermal compression. The pressures at C and D are the same as at A.

The following data are available.

Pressure at A = 250 kPa
Volume at C   = 3.50 × 10–3 m3
Volume at D   = 2.00 × 10–3 m3

The gas at C is further compressed to D at a constant pressure. During this compression the temperature decreases by 150 K.

For the compression CD,

explain why the entropy of the gas decreases.

[2]

Markscheme

ALTERNATIVE 1

«from b(i)» Q is negative 

S=QT AND S is negative 

 

ALTERNATIVE 2

T and/or V decreases ✔

less disorder/more order «so S decreases» ✔

 

ALTERNATIVE 3

T decreases ✔

S=K×lnT2T1<0 ✔

 

NOTE: Answer given, look for a valid reason that S decreases.