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One mole of an ideal monoatomic gas is i...

One mole of an ideal monoatomic gas is initially at 300K. Find the final temperature if 200J of heat are added as follows:
(a) at constant volume (b) at constant pressure.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
(a) `Q=nC_VDeltaT`
`200=(1)(3/2R)(T_f-300)`
or `200=1.5xx8.31(T_f-300)`
Solving we get,
`T_f=316K`
(b) `Q=nC_pDetlaT`
`200=(1)(5/2R)(T_f-300)`
or `200=2.5xx8.31(T_f-300)`
Solving we get,
`T_f=309.6K`
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Knowledge Check

  • An ideal monoatomic gas at 300 K expands adiabatically to twice its volume. The final temperature of gas is

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