Question

In an adiabatic expansion of a gas initial and final temperatures are T1 and T2 respectively then the change in internal energy of the gas is [R = gas constant, γ = adiabatic ratio]

• A. R (T1 - T2)
• B. $\frac {R(T_1-T_2)}{γ-1}$
• C. $\frac {R(T_2-T_1)}{γ-1}$
• D. zero

Answer 1

Answer: (B)

$\frac {R(T_1-T_2)}{γ-1}$

Answer 2

The change in internal energy (ΔU) of a gas during an adiabatic expansion can be determined using the adiabatic equation:
ΔU =$\frac {γ}{γ - 1}$ * R * (T2 - T1)
where γ is the adiabatic ratio or heat capacity ratio, R is the gas constant, T1 is the initial temperature, and T2 is the final temperature.
Therefore, the correct option is (B) $\frac {R(T_1 - T_2)}{γ - 1}$.