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Question

NO and Br2 at initial partial pressures of 98.4 and 41.3 torr, respectively, were allowed to react at 300 K. At equilibrium the total pressure was 110.5 torr. Calculate the value of the equilibrium constant (Kp) at 300 K, for the reaction 2NO(g)+Br2(g)2NOBr(g).

A
134 atm1
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B
164 atm1
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C
234 atm1
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D
264 atm1
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Solution

The correct option is A 134 atm1
2NO(g)+Br2(g)2NOBr(g)Initial pressure98.441.30At equilibrium98.4x41.3x2x
Total pressure at equilibrium is 110.5 torr
98.4x+41.3x2+x=110.5
x=58.4 torr
Now, 1 atm=760 torr, x=7.68×102 atm
PNOBr=7.68×102atm; PNO=98.4x=40 torr=5.26×102 atm
PBr2=41.3x2=12.1 torr=1.59×102 atm

KP=[PNOBr]2[PNO]2[PBr2]
(7.68×102)2(5.26×102)2(1.59×102)=134 atm1

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