$(20$ points$)$ Assume chemical equilibrium is established in a CVD reactor according to the equation:

$Si{H}_4(g)>Si{H}_2(g)+H_2(g)$

The temperature is maintained at $750C$ and the pressure at $250$mtorr. If the equilibrium constant for the reaction is $K(T)=2{10}^9$ torr exp$[-2\mathrm{.}2e\frac{V}{k}T],$ find the partial pressure of each gas assuming $p(H_2)$~~$p(Si{H}_2).$