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(D) Let the initial number of moles be $n$,initial volume be $V$,and initial temperature be $T$. The ideal gas equation is $PV = nRT$.Assuming pressur

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$25$

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(D) Let the initial number of moles be $n$,initial volume be $V$,and initial temperature be $T$. The ideal gas equation is $PV = nRT$.Assuming pressure $P$ remains constant,$n = \frac{PV}{RT}$.Let the final number of moles be $n'$,final volume be $V' = 0.9V$,and final temperature be $T' = 1.2T$.The final number of moles is $n' = \frac{PV'}{RT'} = \frac{P(0.9V)}{R(1.2T)} = \frac{0.9}{1.2} n = 0.75n$.The amount of gas leaked out is $\Delta n = n - n' = n - 0.75n = 0.25n$.The percentage of gas leaked out is $\frac{\Delta n}{n} 	imes 100 = \frac{0.25n}{n} 	imes 100 = 25\%$.

$A$ gas is filled in a cylinder. Its temperature is increased by $20\%$ on the Kelvin scale and its volume is reduced by $10\%$. How much percentage of the gas will leak out?

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