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Temperature of a Gas

If one mole o...

Question

If one mole of $H_{2}$ gas is occupies a rigid container with a capacity of $1000$ litres and the temperature is raised from $27^{o} C$ to $37^{o} C$ , the change in pressure of the contained gas (round off to two decimal places), assuming ideal gas behaviour, is $P a$ $(R = 8.314 J / m o l - K)$

83.14

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Solution

The correct option is A 83.14
$V = Volume of rigid container$

$T_{1} = Initial temperature of the gas$

$T_{2} = Final temperature of the gas$

$P_{1} V = n ¯ ¯¯ ¯ R T_{1}$

$P_{2} V = n ¯ ¯¯ ¯ R T_{2}$

$(P_{2} - P_{1}) V = n ¯ ¯¯ ¯ R (T_{2} - T_{1})$

$Δ P \times 1 = 1 \times 8.314 (37 - 27)$

$Δ P = 83.14 P a$

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