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c) 215.3 J
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Q]______?
=> 124 J !
E X P L A N A T I O N
Molar Specific heat of a substance is defined as the amount of heat required to raise the temperature of one gram mole of the substance through a unit degree
As ( dQ )p = μCpdT _[i] ...[ At constant pressure ]
and ( dQ )v = μCvdT _[ii] ...[ At constant volume ]
Given,
( dQ )p = 207 J,,R = 8.3 J/mol-K
dT = 10 K
Putting value in Eq [i], we get
207 = 1 × Cp × 10
∴ Cp = 20.7 J/kg
Cp - Cv = R = 8.3
Cv = 20.7 - 8.3 = 12.4 J
( dQ )v = 1 × 12.4 × 10
( dQ )v = 124 J
∴ The Heat required is 124 J !
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