Identify the characteristics of an adiabatic process in a monoatomic gas. (A) Internal energy is constant. (B) Work done in the process is equal to the charge in internal energy. (C) The product of te

Question

Identify the characteristics of an adiabatic process in a monoatomic gas.
(A) Internal energy is constant.
(B) Work done in the process is equal to the charge in internal energy.
(C) The product of temperature and volume is a constant.
(D) The product of pressure and volume is a constant.
(E) The work done to change the temperature from $T_{1}$ to $T_{2}$ is proportional to $(T_{2} - T_{1})$
Choose the correct answer from the options given below :

Options:

Answer:

C

Solution:

$Q = Δ U + W = 0 \Rightarrow - Δ U = W WD = - nC_{v} Δ T \Rightarrow ∣ WD ∣ = nC_{v} Δ T \propto T_{2} - T_{1}$
$∴ B & E$ [Only possibility]

TestHub · Accepted Answer

​ Q = Δ U + W = 0 ⇒ − Δ U = W WD = − nC v ​ Δ T ⇒ ∣ WD ∣ = nC v ​ Δ T ∝ T 2 ​ − T 1 ​ ​ ∴ B & E [Only possibility]

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion