Question #218914

A  is placed in a cylinder and has a pressure of 33.3 kPa, a temperature of 25 oC, and a volume of 0.345 L. The pressure of the gas is increased to 40 kPa, and the volume is increased to 0.50 L. What is the temperature of the gas?


Expert's answer

P1=33.3kPaP_1=33.3kPa

T1=273+25=298kT_1=273+25=298k

V1=0.345LV_1=0.345L



P2=40kPaP_2=40kPa

T2=?T_2=?

V2=0.50LV_2=0.50L


P1V1T1=P2V2T2\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}


Hence


T2=P2V2T1P1V1T_2=\frac{P_2V_2T_1}{P_1V_1}


T2=40×0.50×29833.3×0.345=518.78KT_2=\frac{40×0.50×298}{33.3×0.345}=518.78K


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