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Question

The molar heat capacities at constant pressure (assume constant with respect to temperature) of A,B and C are in the ration of 1.5:3.0:2.0.

If enthalpy change for the exothermic reaction A+2B3C at 300K is 10 kJ/mol & Cp,m(B) is 300J/mol then enthalpy change at 310K is:

A
8.5 kJ/mol
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B
8.5 kJ/mol
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C
11.5 kJ/mol
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D
none of these
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Solution

The correct option is C 11.5 kJ/mol
H=nCpT and
Cp,m(B) is 300J/mol so by their ration
Cp,m(C) is 200J/mol and
Cp,m(A) is 150J/mol.
H300K=10KJ
And H310KH300K=(320023001150)T=1500
=1.5 kJ/mole
So for reaction enthapy change at 310K is -
H310K=1.510=11.5KJ/mole.

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