Question

Given below are two statements
Statement-I: When μ amount of an ideal gas undergoes adiabatic change from state (P₁, V₁, T₁) to state (P₂, V₂, T₂), then work done is
\(W = \frac{μR(T2 - T1)}{1 - γ}\)
,where
\(γ = \frac{Cp}{Cv} \)and R = universal gas constant. 
Statement-II: In the above case, when work is done on the gas, the temperature of the gas would rise.
Choose the correct answer from the options given below.

• A. Both statement-I and statement-II are true
• B. Both statement-I and statement-II are false
• C. Statement-I is true but statement-II is false
• D. Statement-I is false but statement-II is true

Answer 1

The Correct Option is A

The correct answer is (A) : Both statement-I and statement-II are true
\(W = \frac{μR(T2 - T1)}{1 - r}\)
for a polytropic process for adiabatic process r = γ
⇒ Statement I is true
In an adiabatic process
ΔU = –ΔW
⇒ If work is done on the gas
⇒ ΔW is negative
⇒ ΔU is positive or temperature increases
⇒ Statement II is true