For the reaction `N_(2)(g)+3H_(2)(g) rarr 2NH_(3)(g)`, under certain conditions of temperature and partial pressure of the reactants, the rate of formation of `NH_(3)` is `0.001 kg h^(-1)`. The same rate of converison of hydrogen under the same condition is................`kg h^(-1)`.

Options

A. `1.5 xx 10^(-3) kg hr^(-1)`
B. `1.76 xx 10^(-4) kg hr^(-1)`
C. `2 xx 10^(-3) kg hr^(-1)`
D. `3 xx 10^(-3) kg hr^(-1)`

Explanation

`-1/3(d[H_2])/(dt)=1/2(d[NH_3])/(dt)`
`:. -(d[H_2])/(dt)=3/2xx d(d[NH_3])/(dt)=3/2xx(10^(-3)xx 10^(-3))/17mol hr^(-1)`
(`:'` Molar mass of `H_2=2`)
`=3/2xx (10^(-3)xx 10^3)/17 xx 2xx 10^(-3) kg hr^(-1)`
(`:'` Molar mass of `H_2=2`)
`=1.76 xx 10^(-4)kg hr^(-1)`