Conisder the chemical reaction
`N_(2)(g) + 3H_(2)(g) rarr 2NH_(3)(g)`
The rate of this reaction can be expressed in terms of time derivatives of the concentration of `N_(2)(g), H_(2)(g)`, or `NH_(3)(g)`. Identify the correct relationship among the rate expresisons.

Options

A. Rate `= -(d[N_2])/(dt) = 1/3(d[N_2])/(dt) = 1/2(d[NH_3])/(dt)`
B. Rate `= (d[N_2])/(dt) = -3(d[H_2])/(dt) = 2(d[NH_3])/(dt)`
C. Rate `=(d[N_2])/(dt) = 1/3(d[N_2])/(dt) = 1/2(d[NH_3])/(dt)`
D. Rate `=(d[N_2])/(dt) = -(d[H_2])/(dt) = (d[NH_3])/(dt)`

Answer

A

Explanation

For chemical reaction
`N_2(g) + 3H_2(g) to 2NH_2(g) `
The rate of reaction is expressed as following
Rate `=-(d[N_2])/(dt) = -1/3(d[H_2])/(dt) = + 1/2(d[NH_2])/(dt)`
In the progress of reactionsd, concentration of `N_2` and `H_2` are decreased, so negative sign is represented in expression, while concentration of `NH_2` are decreased, so negative sign is represented in expression, while concentration of `NH_3` is increased, so positive sign is represented inexpression