Thermodynamics Question 239

Question: 4 kg of oxygen gas is heated so as to raise its temperature from 20 to$ 120{}^\circ C $ . If the heating is done at constant pressure, the external work done by the gas is ($ C _{p}=0.219cal/g{}^\circ C $ and )

Options:

A) 628 kJ

B) 104 kJ

C) 366 kJ

D) 206 kJ

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ W=P(\Delta V)-P( {V _{\gamma }}\Delta T ) $

$ =10^{5}\times {{( 5\times {{10}^{-2}} )}^{3}}\times 3.5\times {{10}^{-5}}\times 375=0.164J $

$ =4( 0.219-0.157 )\times 4200\times ( 120-20 ) $

$ =104\times 10^{3}J $



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