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Q.

A mixture of Nitrogen and Hydrogen is at an initial pressure of 200atm. If 20% of the mixture reacts by the time equilibrium is reached, the equilibrium pressure of the mixture is

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a

200 atm

b

160 atm

c

180 atm

d

170 atm

answer is B.

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Detailed Solution

\large {N_2} + 3{H_2} \rightleftharpoons 2N{H_3}

Initial pressure of mixture containing Nitrogen & Hydrogen = 200 atm;

Percentage of the mixture reacted = 20%

Thus decrease in pressure due to reaction

\large = 200 \times \frac{{20}}{{100}} = 40atm

Pressure  number of moles

4 moles of reactants give 2 moles of products.

Thus if the decrease in pressure of reactant is 40 atm then increase in pressure of product

\large = 40 \times \frac{2}{4} = 20atm
 
Question Image

 

\rightleftharpoons
Question Image
Initial moles200 atm             -
Pressure at equilibrium(200 - 40) atm            20 atm

 

Equilibrium pressure = (160 + 20) atm

                                      = 180 atm

 

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