Question #166783

the volume of a gas at temperature -73°c and pressure 480mm hg is 1000 cm find the volume of the same gas at pressure 760mm of maccury and 127°c


1
Expert's answer
2021-02-25T12:28:26-0500

T1=73+273=200  KP1=480  mmHg=0.631  atmV1=1000  cm3=1  LT2=127+273=400  KP2=760  mmHg=1  atmP1×V1T1=P2×V2T2V2=P1×V1×T2T1×P2=0.631×1×400200×1=1.262  L=1262  cm3T_1 = -73 + 273 = 200 \;K \\ P_1 = 480 \;mmHg \\ = 0.631 \;atm V_1 = 1000 \;cm^3 = 1 \;L \\ T_2 = 127 + 273 = 400 \;K \\ P_2 = 760 \;mmHg = 1 \;atm \\ \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \\ V_2 = \frac{P_1 \times V_1 \times T_2}{T_1 \times P_2} \\ = \frac{0.631 \times 1 \times 400}{200 \times 1} \\ = 1.262 \;L = 1262 \;cm^3


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