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Standard XII

Physics

Gas laws from KTG

Two gases of ...

Question

Two gases of equal mass are in thermal equilibrium. If $P_{a}, P_{b}$ and $V_{a}$ and $V_{b}$ are their respective pressures and volumes, then which relation is true

$P_{a} \neq P_{b}; V_{a} = V_{b}$

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$P_{a} = P_{b}; V_{a} \neq V_{b}$

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$\frac{P_{a}}{V_{a}} = \frac{P_{b}}{V_{b}}$

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$P_{a} V_{a} = P_{b} V_{b}$

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Solution

The correct option is D
$P_{a} V_{a} = P_{b} V_{b}$

In thermal equlibrium, the temperature is constant. Hence according to Boyles Law PV = Constant

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Two gases of equal mass are in thermal equilibrium. If $P_{a}, P_{b}$ and $V_{a}$ and $V_{b}$ are their respective pressures and volumes, then which relation is true

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In thermal equlibrium, the temperature is constant. Hence according to Boyles Law PV = Constant