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When $0.0168 \, mol$ of $O_2$ obtained from the decomposition of $KClO_3$ is collected over water at $25 \, ^\circ C$,the volume is $428 \, mL$ and the pressure is $754 \, mm$. What is the water vapor pressure at $25 \, ^\circ C$ in $mm$?

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The pressure of a moist gas at $27^{\circ}C$ is $4 \ atm$. The volume of the container is doubled at the same temperature. The new pressure of the moist gas is $x \times 10^{-1} \ atm$. Find the value of $x$. (Nearest integer) (Given: The vapour pressure of water at $27^{\circ}C$ is $0.4 \ atm$)

If hydrogen gas travels a distance of $10.5 \ cm$ in $5 \ s$ through a long narrow tube at a pressure of $1 \ atm$,what distance (in $cm$) will oxygen gas travel in $5 \ s$ at a pressure of $2 \ atm$?

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Match the following items in List-$I$ with the appropriate items in List-$II$:
List-$I$List-$II$
$(A)$ Viscosity$(I)$ Critical temperature
$(B)$ Ideal gas behaviour$(II)$ Isobars
$(C)$ Liquefaction of gases$(III)$ Compressibility factor
$(D)$ Charles' law$(IV)$ $kg \ s^{-2}$
$(V)$ $kg \ m^{-1} \ s^{-1}$

At $298 \ K$, a flask '$A$' of unknown volume $(V)$ contains oxygen at $5 \ atm$. Another flask '$B$' of volume $2 \ L$ contains helium at $3 \ atm$. Two flasks are connected together by a small tube of zero volume. After the two gases are completely mixed, if the resulting mixture is found to have the mole fraction of oxygen as $0.2$, the volume of flask '$A$' (in $L$) is (Assume oxygen and helium as ideal gases)

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