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743 J of heat energy is needed to raise ...

743 J of heat energy is needed to raise the temperature of 5 moles of an ideal gas by 2 K at constant pressure. How much heat energy is needed to raise the temperature of the same mass of the gas by 2 K at constant volume? (R=8.3 J/mol K)

A

826 J

B

743 J

C

660 J

D

74.3 J

Text Solution

Verified by Experts

The correct Answer is:
C
`dQp=nC_(p)dt`
`C_(p)=(dQ_(p))/(nd_(T))`
`C_(p)-C_(V)=R`
`C_(V)=C_(p)-R`
`dQ_(V)=nC_(V)dT=(1)/(2)xx(7)/(2)Rxx40=70R`
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