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A vessel of volume 0.2 m^(3) contains hy...

A vessel of volume `0.2 m^(3)` contains hydrogen gas at temperature 300 K and pressure 1 bar. Find the heat required to raise the temperature to 400 K. The molar heat capacity of hydrogen at constant volume is `5 cal//mol K`.

Text Solution

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The correct Answer is:
4
As here volume of gas remains constant,
`(Delta Q)_(v) = mu C_(V) Delta T`, Here `C_(V) = 5 cal//mol K`
and `Delta T = (400 - 300) = 100 K`
and so for ideal gas `PV = mu RT`,
`mu = ((10)^(5) xx (0.2))/(8.31 xx 300) = 8 mol`
`(Delta Q)_(V) = 8 xx 5 xx 100 = 4 kcal`
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