Question #251432

A volume of 400 cc of air is measured at a pressure of 740 mm Hg abs and a temperature of 18°C. what will be the volume at 760 mm Hg abs and 0°C?  


1
Expert's answer
2021-10-18T11:01:54-0400

V1=400  ccp1=740  mmHgT1=18+273=291  Kp2=760  mmHgT2=0+273=273  Kp1V1T1=p2V2T2V2=p1V1T2T1p2V2=740×400×273291×760=365.4  ccV_1 = 400 \;cc \\ p_1 = 740 \;mmHg \\ T_1 = 18 +273 = 291 \;K \\ p_2 = 760 \;mmHg \\ T_2 = 0 +273 = 273 \;K \\ \frac{p_1V_1}{T_1} = \frac{p_2V_2}{T_2} \\ V_2 = \frac{p_1V_1T_2}{T_1p_2} \\ V_2 = \frac{740 \times 400 \times 273}{291 \times 760} = 365.4 \;cc

Answer: 365.4 cc


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