A sample of hydrogen fluoride is placed in a $1\mathrm{.}00L$ container. At equilibrium, the concentration of $H{F}_{(g)}$ was $0\mathrm{.}700mo\frac{l}{L}.$ The equilibrium constant for the formation of hydrogen fluoride gas is $114.$

$H_{2(g)}+F_{2(g)}$harr$2H{F}_{(g)},K_{eq}=114$

a$)$ What is the concentration of $H_{2(g)}$ and $F_{2(g)}$ at equilibrium?

b$)$ What was the initial concentration of $H{F}_{(g)}?$