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Q.

The specific heat of hydrogen gas at constant pressure is CP=3.4×103cal/kgoC and at constant volume is CV=2.4×103cal/kgoC. If one kilogram hydrogen gas is heated from  10oC to 20oC  at constant pressure, the external work done on the gas to maintain it at constant pressure is

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a

105cal

b

5×103Cal

c

104cal

d

103cal

answer is B.

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Detailed Solution

From FLOT ΔQ=ΔU+ΔW 
Work done at constant pressure (ΔW)P=(ΔQ)PΔU
(ΔQ)P(ΔQ)V             (As we know (ΔQ)V=ΔU

Also (ΔQ)P=mcPΔT and (ΔQ)V=mcVΔT

(ΔW)P=mcPcVΔT(ΔW)P=1×3.4×1032.4×103×10=104cal

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