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Two gases occupy two containers $A$ and $B$ the gas in $A$, of volume $0.10\,m ^3$, exerts a pressure of $1.40\,MPa$ and that in $B$ of volume $0.15 m ^3$ exerts a pressure $0.7\,MPa$. The two containers are united by a tube of negligible volume and the gases are allowed to intermingle. Then if the temperature remains constant, the final pressure in the container will be (in MPa)
A gas is filled in a vessel at a pressure given by $P = \left( {6.02 \times {{10}^{23}}} \right)kT$ where $k$ is the Boltzmann constant and $T$ is the absolute temperature. The number of molecules per unit volume of the gas is
One mole of an ideal gas requires $207\, J$ heat to raise the temperature by $10 \,K$ when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same $10\, K,$ the heat required is ...... $J$
(Given the gas constant $R = 8.3J/mol{\rm{ - }}K$)
An ideal gas filled in a cylinder occupies volume $V$. The gas is compressed isothermally to the volume $V/3$. Now, the cylinder valve is opened and the gas is allowed to leak keeping temperature same. What percentage of the number of molecules should escape to bring the pressure in the cylinder back to its original value?
A cylindrical tube of cross-sectional area $A$ has two air tight frictionless pistons at its two ends. The pistons are tied with a straight two ends. The pistons are tied with a straight piece of metallic wire. The tube contains a gas at atmospheric pressure $P_0$ and temperature $T_0$. If temperature of the gas is doubled then the tension in the wire is