If the pressure on 100cm3 of an ideal gas is doubled while its kelvin temperature is halved, then the new volume of the gas will become
\(\frac{P_1V_1}{T_1}\) = \(\frac{P_2V_2}{T_2}\)
P\(_2\) = 2P\(_1\) ; T\(_1\) = 2T\(_2\)
V\(_2\) = \(\frac{P_1 \times V_1 \times T_2}{T_1 \times P_2}\) = \(\frac{P_1 \times 100 \times T_2}{2T_2 \times 2P_1}\) = \(\frac{100}{4}\)
= 25cm\(^3\)
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