Question

A $1.00$L vessel containing $1.00$ g $H_2$ gas at ${27}^0$C is connected to a $2.00$ L vessel containing $88.0$g $C{O}_2$ gas, at also ${27}^0$C. When the gases are completely mixed, total pressure is:

• A. $20.5$ atm
• B. $4.1$ atm
• C. $16.4$ atm
• D. $730.7$ atm

Answer 1

The correct option is A $20.5$ atm

$P_{Total}=P_A+P_B$ $T=27+273=300K$; $n_{H_2}=\frac{1}{2}=0.5$ moles

$P_A=P_{H_2}=\frac{\left(n{H}_2\right)RT}{V}$

$=\frac{0.5\times 0.082\times 300}{3}$

$=4.1atm$

$P_B=P_{C{O}_2}=\frac{n_{C{O}_2}RT}{V}$ $n_{C{O}_2}=\frac{88}{44}=2$ moles

$=\frac{2\times 0.082\times 300}{3}$

$=16.4atm$

$\therefore P_{Total}=4.1+16.4=20.5atm$