One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in figure. The process BC is adiabatic. The temperatures at A, B and C are 400 K, 800 K and 600 K ,respectively. Choose the correct statement.

Question

One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in figure. The process BC is adiabatic. The temperatures at A, B and C are 400 K, 800 K and 600 K ,respectively. Choose the correct statement. (A) The change in internal energy in whole cyclic process is 250 R (B) The change in internal energy in the process CA is 700 R (C) The change in internal energy in the process AB is - 350 R (D) The change in internal energy in the process BC is - 500 R

Tardigrade Admin · Accepted Answer

Δ U=n CV Δ T=1 × (5 R/2) Δ T For BC, Δ T=-200 K ⇒ Δ U=-500 R

Q. One mole of diatomic ideal gas undergoes a cyclic process $A BC$ as shown in figure. The process $BC$ is adiabatic. The temperatures at $A, B$ and $C$ are $400 K$ , $800 K$ and $600 K$ ,respectively. Choose the correct statement.

The change in internal energy in whole cyclic process is 250 R

The change in internal energy in the process CA is 700 R

The change in internal energy in the process AB is - 350 R

The change in internal energy in the process BC is - 500 R

$Δ U = n C_{V} Δ T = 1 \times \frac{5 R}{2} Δ T$
For $BC, Δ T = - 200 K$
$\Rightarrow Δ U = - 500 R$

Q. One mole of diatomic ideal gas undergoes a cyclic process ABC as shown in figure. The process BC is adiabatic. The temperatures at A,B and C are 400K, 800K and 600K ,respectively. Choose the correct statement.