Question #96686

At an absolute temperature of 300ka certain mass of gas occupies 1m3.find the volume of the gas when the absolute temperature is 375k

Expert's answer

The equation of states for an ideal gas says


PV=nkTPV=nkT

If the pressure is constant we obtain


V2V1=T2T1\frac{V_2}{V_1}=\frac{T_2}{T_1}

So

V2=V1T2T1V_2=V_1\frac{T_2}{T_1}

V2=1m3×375K300K=1.25m3V_2=1\:\rm m^3\times \frac{375\:\rm K}{300\:\rm K}=1.25\:\rm m^3


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