question_answer 1)

What will be the pressure of a gaseous mixture when 0.5 L of\[{{H}_{2}}\] at 0.8 bar and 2.0 L of\[{{O}_{2}}\] at 0.7 bar are introduced in a 1 L vessel at\[27{}^\circ C\]?

Answer:

\[{{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}}={{P}_{3}}{{V}_{3}}\] .(i) \[{{P}_{1}}=0.8bar,\] \[{{V}_{1}}=0.5L\] \[{{P}_{2}}=0.7bar,\] \[{{V}_{2}}=2L\] \[{{P}_{3}}=?\] \[{{V}_{3}}=1L\] Putting these values in Eqn. (i) \[0.8\times 0.5+0.7\times 2={{P}_{3}}\times 1\] \[{{P}_{3}}=1.8\,\,bar\]