$A$ and $B$ are ideal gases. The molecular weights of $A$ and $B$ are in the ratio of $1: 4$. The pressure of a gas mixture containing equal weights of $A$ and $B$ is $P \ atm$. What is the partial pressure (in $atm$) of $B$ in the mixture?
- A$\frac{P}{5}$
- B$\frac{P}{2}$
- C$\frac{P}{2.5}$
- D$\frac{3P}{4}$
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