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