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Thermodynamic Processes

An ideal gas ...

Question

An ideal gas initially at $30 K$ undergoes an isobaric expansion at $2.50 k P a$ . If the volume increases from $1.00 m^{3}$ to $3.00 m^{3}$ and $12.5 k J$ is transferred to the gas by heat,what are its final temperature?

900 K

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400 K

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500 K

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200 K

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Solution

The correct option is A $900 K$
Applying ideal gas equation for initial state ( $P_{1}, V_{1}, T_{1}$ )and final state ( $P_{2}, V_{2}, T_{2}$ ) resp. we get,
$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
Since isobaric, $P_{1} = P_{2}$
$\Rightarrow T_{2} = \frac{T_{1} V_{2}}{V_{1}} = 3 T_{1} = 900 K$

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