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Question

A vessel of volume 0.2m3 contains hydrogen gas at temperature 300K and pressure 1 bar. Find the heat (in kcal) required to raise the temperature to 400K. (The molar heat capacity of hydrogen at constant volume is 5 cal/molK)

A
4
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B
2
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C
5
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D
8
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Solution

The correct option is A 4
Using the equation PV=nRT we have
0.2×105=n×8.314×300
Thus we get n as 8 moles.
Now the heat absorbed is given as
Q=W+U=nRΔT+nCvΔT
or
Q=n(1+32)RΔT
or
Q=8×52×1.987×100=4000kcal

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