One mole of an ideal monoatomic gas at temperature T_0 expands slowly according to the law p/V = constant. If the final temperature is 2T_0, heat supplied to the gas is
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Answer:
In a process PV
x
=constant, molar heat capacity is given by C=
γ+1
R
+
1−x
R
As the process is
V
P
= constant,
i.e., PV
−1
=constant, therefore, x=−1.
For an ideal monatomic gas, γ=
3
5
∴C=
3
5
−1
R
+
1−(−1)
R
=
2
3
R+
2
R
=2R
ΔQ=nC(ΔT)=1(2R)(2T
0
−T
0
)=2RT
0
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