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Ideal Gas Equation

Draw the P-T ...

Question

Draw the P-T and V-T diagrams for an isobaric process of expansion, corresponding to n moles of an ideal gas at a pressure P $_{0}$ , from V $_{0}$ to 2V $_{0}$ .

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Solution

Using ideal gas equation at A : $P_{o} V_{o} = n R T_{o}$
$⟹$ $T_{o} = \frac{P_{o} V_{o}}{n R}$ ...............(1)
The gas goes from initial state A to final state B via isobaric process i.e $P = P_{o} = c o n s t a n t$
$⟹$ $\frac{V_{A}}{T_{A}} = \frac{V_{B}}{T_{B}}$
OR $\frac{V_{o}}{T_{o}} = \frac{2 V_{o}}{T_{B}}$ $⟹ T_{B} = 2 T_{o}$
The P-T and V-T graphs are shown accordingly indicating the pressures and temperatures of the gas at A and B.

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