Question
What will be the pressure of the gas mixture of $$3.2\,g$$ methane and $$4.4\,g$$ carbon dioxide contained in a $$9\,d{m^3}$$ flask at $$27{\,^ \circ }C?$$
A.
$$0.82\,atm$$
B.
$$8.314 \times {10^4}\,atm$$
C.
$$1\,atm$$
D.
$$1.8\,atm$$
Answer :
$$0.82\,atm$$
Solution :
$$P = \frac{n}{V}RT$$
$$n\,\,{\text{for}}\,\,C{H_4} = \frac{{3.2}}{{16}} = 0.2;$$ $$n\,\,{\text{for}}\,\,C{O_2} = \frac{{4.4}}{{44}} = 0.1$$
$${n_{{\text{total}}}} = 0.2 + 0.1 = 0.3;$$ $$P = \frac{{0.3 \times 0.0821 \times 300}}{9} = 0.82\,\,atm$$