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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 ...... $atm$
$0.056 \,kg$ of Nitrogen is enclosed in a vessel at a temperature of $127\,^{\circ} C$. The amount of heat required to double the speed of its molecules is k cal. (Take $R =2$ $cal \,mole$ $^{-1} K ^{-1}$ )
Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at $N.T.P.$ If one bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gas becomes $1.5$ times. The temperature of hot bath will be ....... $^oC$
Using equipartition of energy, the specific heat (in $J\, kg^{-1}\, K^{-1}$ ) of aluminium at room temperature can be estimated to be ( atomic weight of aluminium $= 27$)
When $2 \,\,gms$ of a gas are introduced into an evacuated flask kept at $25\,^0C$ the pressure is found to be one atmosphere. If $3 \,\,gms$ of another gas added to the same flask the pressure becomes $1.5$ atmospheres. The ratio of the molecular weights of these gases will be
The molar specific heat at constant pressure of an ideal gas is $(7/2)R.$ The ratio of specific heat at constant pressure to that at constant volume is
Let $\bar v,\;{v_{rms}}$ and ${v_p}$ respectively denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monoatomic gas at absolute temperature $T.$ The mass of a molecule is $m.$ Then