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Question

A mixture of 0.373 atm of NO(g) and 0.31 atm of Cl2(g) is prepared at 500K. The reaction 2NO(g)+Cl2(g)2NOCl(g) takes place. The total pressure at equilibrium is 0.544 atm. Determine Kp for the reaction.

A
50.08 atm1
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B
10.08 atm1
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C
50.07 atm1
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D
None of the above
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Solution

The correct option is C 50.07 atm1
The initial pressure are
PNO=0.373 atm
PCl2=0.310 atm
PNOCl=0 atm

The equilibrium pressure are
PNO=0.3732x atm
PCl2=0.310x atm
PNOCl=2x atm

Total equilibrium pressure =(0.3732x)+(0.310x)+(2x) atm. But it is equal to 0.544 atm.
=(0.373)+(0.310x)=0.544
x=0.139atm

The equilibrium pressure constant
Kp=P2NOClPNO×PCl2
Kp=(2x)2(0.3732x)2×(0.310x)
Kp=(2(0.139))2(0.3732(0.139))2×(0.3100.139)

Kp=50.07 atm1

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