For a monatomic gas work done at constant pressure is w. the heat supplied at constant volume for the same
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Answer:
The heat supplied at constant volume for the same rise in temperature of the gas is .
Explanation:
Given , a monatomic gas work done at constant pressure w .
And the heat supplied at constant volume .
Step 1:
For constant pressure ,
Q = ΔT +W
(where Cp is heat capacity and ΔT is change in temperature )
⇒ ΔT =
Now , at constant volume ;
Q = ΔT (work done is zero )
⇒Q =
⇒ = Q- W
But we know is equal to γ
Therefore ,
γQ = Q- W
⇒Q (γ - 1) = -W
⇒Q = -W (Where γ = for monatomic gas )
⇒ Q = -W
⇒Q =
⇒|Q| =
Hence , the heat supplied at constant volume for the same rise in temperature of the gas is .
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