Question #171703

A 350 mL sample of gas is collected over water at 30°C and at a total pressure of 640 mm Hg. If the vapor pressure of water at 30°C is 31.8 torr, what is the volume of the gas sample at standard pressure?


1
Expert's answer
2021-03-16T07:49:51-0400

31.0torr = 31.0 mmHg

Partial pressure of the gas = (640 - 31.0)mmHg

= 609mmHg

Changing pressure to atm = =609mmHg760mmHg/atm=0.8atm=\dfrac{609mmHg}{760mmHg/atm}=0.8atm


Use the formula;


P1V1=P2V2P1V1 =P2V2 (at constant temperature)


P1 = 0.8atm

P2=1atm (standard pressure)

V1=350mL

V2=?


V2=P1V1P2=0.8atmx350mL1atm=280mLV2=\dfrac{P1V1}{P2}=\dfrac{0.8atm x 350mL}{1atm} =280mL


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