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A vessel is filled with an ideal gas at a pressure of $10$ atmospheres and temperature ${27}^\circ C$. Half of the mass of the gas is removed from the vessel and temperature of the remaining gas is increased to ${87}^\circ C$. Then the pressure of the gas in the vessel will be ...... $atm$
In an ideal gas at temperature $T$, the average force that a molecule applies on the walls of a closed container depends on $T$ as ${T^q }$ . A good estimate for $q$ is
In a thermally isolated system, two boxes filled with an ideal gas are connected by a valve. When the valve is in closed position, states of the box $1$ and $2$ respectively, are ( $1 \,atm , V, T)$ and $(0.5 \,atm , 4 V, T)$. When the valve is opened, then the final pressure of the system is approximately ............... $atm$
Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is held at a temperature of $100^{\circ} C$, while the other one is kept at $0^{\circ} C$. If the two are brought into contact, then assuming no heat loss to the environment, the final temperature that they will reach is
Two vessels separately contain two ideal gases $A$ and $B$ at the same temperature, the pressure of $A$ being twice that of $B.$ Under such conditions, the density of $A$ is found to be $1.5$ times the density of $B.$ The ratio of molecular weight of $A$ and $B$ is
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)
$125\, ml$ of gas $A$ at $0.60$ atmosphere and $150\, ml$ of gas $B$ at $0.80$ atmosphere pressure at same temperature is filled in a vessel of $1$ litre volume. What will be the total pressure of mixture at the same temperature ............... $\mathrm{atmosphere}$