Two gases occupy two containers $A$ and $B$ the gas in $A$, of volume $0.10\,m ^3$, exerts a pressure of $1.40\,MPa$ and that in $B$ of volume $0.15 m ^3$ exerts a pressure $0.7\,MPa$. The two containers are united by a tube of negligible volume and the gases are allowed to intermingle. Then if the temperature remains constant, the final pressure in the container will be (in MPa)

Q: Two gases occupy two containers $A$ and $B$ the gas in $A$, of volume $0.10\,m ^3$, exerts a pressure of $1.40\,MPa$ and that in $B$ of volume $0.15 m ^3$ exerts a pressure $0.7\,MPa$. The two containers are united by a tube of negligible volume and the gases are allowed to intermingle. Then if the temperature remains constant, the final pressure in the container will be (in MPa)

b (b) We know that $P_A V_A=n_A R T, P_B V_B=n_B R T$ and $P_f\left(V_A+V_B\right)=\left(n_A+n_B\right) R T$ $P_f\left(V_A+V_B\right)=P_A V_A+P_B V_B$ $\therefore P _{ f } =\left(\frac{ P _{ A } V _{ A }+ P _{ B } V _{ B }}{ V _{ A }+ V _{ B }}\right)$ $=\frac{1.4 \times 0.1+0.7 \times 0.15}{0.1+0.15} MPa =0.98\,MPa$

Question

A$0.70$
B$0.98$
C$1.40$
D$210$

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