Thermodynamics

A vessel containing helium { considering it to be an ideal } which expands at constant pressure when 15 kJ 15\text{ kJ} of heat is supplied to it. What will be the variation of internal energy ; work done by gas respectively ___________ \text{\_\_\_\_\_\_\_\_\_\_\_}

3 k J 3kJ ; 2 k J 2kJ 9 k J 9kJ ; 6 k J 6kJ NONE OF THESE 19 k J 19kJ ; 2 k J 2kJ

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1 solution

Jaswinder Singh
Feb 20, 2016

helium is a monoatomic gas so degree of freedom(f) = 3 C V = f R 2 C_{ V }=\frac { fR }{ 2 } C V = 3 R 2 C_{ V }=\frac { 3R }{ 2 } By mayor's formula C p = C V + R { C }_{ p }={ C }_{ V }+R Δ Q = n C p Δ T \Delta Q={ nC }_{ p }\Delta T Δ U = n C V Δ T \Delta U=n{ C }_{ V }\Delta T Δ U Δ Q = C V C P = 3 5 Δ U = 15 × 3 5 \frac { \Delta U }{ \Delta Q } =\frac { { C }_{ V } }{ { C }_{ P } } =\frac { 3 }{ 5 } \therefore \Delta U=15\times \frac { 3 }{ 5 } Δ W = Δ Q Δ U = 15 9 = 6 k J \Delta W=\Delta Q-\Delta U=15-9=6kJ

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