Question

During an experiment an ideal gas is found to obey an additional gas law VT = constant. The gas is initially at temperature T and pressure
P. When it is heated to the temperature2T, the resulting pressure is

Moderate

Solution

$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}; \frac{P_{1}}{P_{2}} = \frac{T_{1}}{T_{2}} \cdot \frac{V_{2}}{V_{1}}; Given V \propto \frac{1}{T}$
$∵ \frac{V_{2}}{V_{1}} = \frac{T_{1}}{T_{2}} and \frac{P_{1}}{P_{2}} = \frac{T_{1}}{T_{2}} \times \frac{T_{1}}{T_{2}}$

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