SSC JE Mechanical Engineering 2014 Set 1 Paper

Question : 138 of 200

Marks: +1, -0

A gas in a container A is in thermal equilibrium with another gas of the same mass in container B. If the corresponding pressures and volumes are denoted by suffixes A and B, then which of the following statements is true ?

$P_A ≠P_B , V_A = V_B$
$P_A = P_B , V_A ≠V_B$
$P_A/V_A = P_B/V_B$
$P_AV_A = P_BV_B$

Validate

Solution:

The gas equation for two containers will be

P_A V_A= P_B V_B

as temperature is constant (as there is thermal equilibrium, so the temperature will be same). The general gas equation is
→

({P_1V_1} / T_1 ) = ({P_2.V_2} / T_2 ) \and T_1 = T_2.

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