A gas is collected over water at 27° C in a 2.00 L vessel at a total pressure of 1.04 atm (vapour pressure of water at 27° C = 0.04 atm). The dry gas alone is then transferred to a rigid 0.50 L vessel

Question

A gas is collected over water at 27° C in a 2.00 L vessel at a total pressure of 1.04 atm (vapour pressure of water at 27° C = 0.04 atm). The dry gas alone is then transferred to a rigid 0.50 L vessel kept at 102° C . Find the pressure of the dry gas in the new vessel in atm.

TestHub · Accepted Answer

Pressure of the dry gas in the first vessel = 1.04 - 0.04 = 1.00 atm.

Amount of gas is fixed: $P_{1} V_{1}$ / $T_{1}$ = $P_{2} V_{2}$ / $T_{2}$ with $T_{1}$ = 300 K and $T_{2}$ = 375 K.

$P_{2}$ = 1.00 x 2.00 x 375/(300 x 0.50) = 5.0 atm.

Answer: 5.

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