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Question

At 700 K, the equilibrium constant Kp, for the reaction 2SO3(g)2SO2(g)+O2(g) is 1.8×103 kPa. What is the numerical value on moles per dm3 of Kc for the reaction at the same temperature ?

A
3.09×104
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B
3.09×107
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C
3.09×1010
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D
3.09×1012
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Solution

The correct option is B 3.09×107

Given reaction scheme

2SO3(g)2SO2(g)+O2(g)

∆ng= nproducts-nreactants =3(2+1)=32=1

Formula: Kp=Kc(RT)Δn

Kp is equilibrium constant from partial pressures = 1.8 kpa = 1.8×103pa

Kc is the equilibrium constant from concentrations =?

R is gas constant = 8314 L pa K-1 mol-1

T is temperature = 700K

On substituting we get

Kc=1.8×103pa8314LpaK1mol1×700K

Kc=3.09×107molL1

Hence option B is correct.


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