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Q.

The normal boiling point and  ΔHvap of a liquid ‘X’ are 400 K and 40 kJ mol1  respectively. Assuming ΔHvap  to be constant, which of the following is correct ?

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a

ΔSvap>100JK1mol1 at 400K and 0.5atm

b

ΔSvap=100JK1mol1 at 400K and 1atm

c

ΔSvap<100JK1mol1 at 400K and 1atm

d

ΔSvap<100JK1mol1 at 400K and 2atm

answer is A, C, D.

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Detailed Solution

At normal boiling point  (Pvap=atm) 
 ΔSvap=ΔHvapTb0=40000400=100J/molK
At  Pvap=0.5atmTb<400K
   ΔSvap>100J/molK
At  Pvap=2atmTb>400K
 ΔSvap<100J/molK

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The normal boiling point and  ΔHvap of a liquid ‘X’ are 400 K and 40 kJ mol−1  respectively. Assuming ΔHvap  to be constant, which of the following is correct ?