Question #126230

Of 200cm2 of carbon(iv)oxide were collected over water at 18°c and 700mmHg, determine the volume of thr dry gas at STP


1
Expert's answer
2020-07-14T15:20:17-0400

The CO2 gas collected over water contains water vapors, which partial pressure is 16 mmHg at a given temperature. According to the partial pressure law:


p(total)=p(H2O)+p(CO2);p(total)=p(H_{2}O)+p(CO_{2});


p(CO2)=p(total)p(H2O)=700mmHg16mmHg=684mmHg(91193Pa);p(CO_{2})=p(total)-p(H_{2}O)=700mmHg-16mmHg=684mmHg(91193Pa);


Thus,


VSTP(CO2)=p(CO2)V(CO2)RTRT0P0=91193Pa2104m38.31JmolK291K8.31JmolK273K101325Pa=1.69104m3(169mL).V_{STP}(CO_{2})=\frac{p(CO_{2})V(CO_{2})}{RT}*\frac{RT_{0}}{P_{0}}=\frac{91193Pa*2*10^{-4}m^{3}}{8.31\frac{J}{mol*K}*291K}*\frac{8.31\frac{J}{mol*K}*273K}{101325Pa}=1.69*10^{-4}m^{3}(169mL).


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