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  4. A vessel contains 0.5 m 3 of hydrogen gas at 300 K and pressure 105 Pa. How much heat should be added to it to raise the temperature to 500 K ? Molar specific heat of hydrogen is 5 cal / mol K :

Q. A vessel contains $0.5\, m ^{3}$ of hydrogen gas at $300\, K$ and pressure $10^{5} Pa$. How much heat should be added to it to raise the temperature to $500\, K$ ? Molar specific heat of hydrogen is $5\, cal / mol\, K$ :

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Solution:

$\Delta Q =n C \Delta T$
$\Delta Q =\frac{p V}{R T} \times C \times \Delta T$
$=\frac{10^{5} \times 0.5}{8.3 \times 300} \times 5 \times(500-300)$
$=20080\, cal \approx 20\, kcal$

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