I think the answer would be A.
I think! I could be wrong!
<u>Answer:</u> The equilibrium constant for the total reaction is 
<u>Explanation:</u>
We are given:

We are given two intermediate equations:
<u>Equation 1:</u> 
The expression of
for the above equation is:
![K_{c_1}=\frac{[NH_3]^2}{[N_2][H_2]^3}](https://tex.z-dn.net/?f=K_%7Bc_1%7D%3D%5Cfrac%7B%5BNH_3%5D%5E2%7D%7B%5BN_2%5D%5BH_2%5D%5E3%7D)
.......(1)
<u>Equation 2:</u> 
The expression of
for the above equation is:
![K_{c_2}=\frac{[HI]^2}{[H_2][I_2]}](https://tex.z-dn.net/?f=K_%7Bc_2%7D%3D%5Cfrac%7B%5BHI%5D%5E2%7D%7B%5BH_2%5D%5BI_2%5D%7D)
......(2)
Cubing both the sides of equation 2, because we need 3 moles of HI in the main expression if equilibrium constant.
![(41)^3=\frac{[HI]^6}{[H_2]^3[I_2]^3}](https://tex.z-dn.net/?f=%2841%29%5E3%3D%5Cfrac%7B%5BHI%5D%5E6%7D%7B%5BH_2%5D%5E3%5BI_2%5D%5E3%7D)
Now, dividing expression 1 by expression 2, we get:
![\frac{K_{c_1}}{K_{c_2}}=\left(\frac{\frac{[NH_3]^2}{[N_2][H_2]^3}}{\frac{[HI]^6}{[H_2]^3[l_2]^3}}\right)\\\\\\\frac{0.282}{68921}=\frac{[NH_3]^2[I_2]^3}{[N_2][HI]^6}](https://tex.z-dn.net/?f=%5Cfrac%7BK_%7Bc_1%7D%7D%7BK_%7Bc_2%7D%7D%3D%5Cleft%28%5Cfrac%7B%5Cfrac%7B%5BNH_3%5D%5E2%7D%7B%5BN_2%5D%5BH_2%5D%5E3%7D%7D%7B%5Cfrac%7B%5BHI%5D%5E6%7D%7B%5BH_2%5D%5E3%5Bl_2%5D%5E3%7D%7D%5Cright%29%5C%5C%5C%5C%5C%5C%5Cfrac%7B0.282%7D%7B68921%7D%3D%5Cfrac%7B%5BNH_3%5D%5E2%5BI_2%5D%5E3%7D%7B%5BN_2%5D%5BHI%5D%5E6%7D)
![\frac{[NH_3]^2[I_2]^3}{[N_2][HI]^6}=4.09\times 10^{-6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5BNH_3%5D%5E2%5BI_2%5D%5E3%7D%7B%5BN_2%5D%5BHI%5D%5E6%7D%3D4.09%5Ctimes%2010%5E%7B-6%7D)
The above expression is the expression for equilibrium constant of the total equation, which is:

Hence, the equilibrium constant for the total reaction is 
Solution us here,
let the rate of diffusion of H2(r1) be x and⁷ the rate of diffusion of gas(r2) be x+x/6=7x/6.
Molar mass of H2 (M1)=2 g
Molar mass of gas(M2)= ?
Now, from the Ghram's law of diffusion of gas,

here, it looks like I have done wrong.
But all of the answers in option are wrong.
Because, rate of diffusion of any gas is inversely proportional to the square root of its malor mass.
And in the question, gas has higher rate of diffusion than hrdrogen. So it should have molar mass less than hydrogen.
In a heterogeneous mixture, you can clearly see the distinction between the different substances within the mixture. e.g. fruit salad, paella, nachos
in a homogeneous mixture, it is still made up of different substances, but there is no way of distinguishing between them just from appearances. they have the same uniform composition throughout. e.g. salt water; you know it is made of salt and water, but the salt is dissolved uniformly throughout that you cannot tell.
hope that helps :)
It allows a scientist to understand the history of metamorphic rock by estimating the temperature, depth, and pressure at which a rock undergoes metamorphism.
Hope that helped!