A gas in a container A is in the thermal equilibrium with another gas of the same mass in container B. If we denote the corresponding pressures and volume by the suffixes A and B, then which of the following statement is most likely to be true

P_{A} = P_{B}

V_{A}

\neq

V_{B}

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P_{A}

\neq

P_{B}

V_{A} = 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 $P_{A} V_{A}$ = $P_{B} V_{B}$
Ideal gas equation is given by:
$P V = n R T$
The gases A and B are in thermal equilibrium.
$T_{A} = T_{B}$
$n R T_{A} = n R T_{B}$
Which simplifies to:
$P_{A} V_{A} = P_{B} V_{B}$
Hence option D is correct.

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