Q.

70 cal of heat are required to raise the temperature of 2 mol of an ideal gas at constant pressure from 300C to 350C. The amount of heat required in calories to raise the temperature of the same gas through the same  range (300C-350C) at constant volume is

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a

30 cal

b

50 cal

c

40 cal

d

90 cal

answer is B.

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Detailed Solution

Q1=nCpΔT⇒Q2=nCVΔT∴ Q1−Q2=nRΔT or  Q2=Q1−nRΔT=(70)−(2)8.314.18(5)≅50cal
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70 cal of heat are required to raise the temperature of 2 mol of an ideal gas at constant pressure from 300C to 350C. The amount of heat required in calories to raise the temperature of the same gas through the same  range (300C-350C) at constant volume is