Assertion In adiabatic expansion the product of p and V always decreases. Reason In adiabatic expansion process, work is done by the gas at the cost of internal energy of gas.

Question

Assertion In adiabatic expansion the product of p and V always decreases. Reason In adiabatic expansion process, work is done by the gas at the cost of internal energy of gas. (A) Both assertion and reason are true and reason is the correct explanation of assertion (B) Both assertion and reason are true but reason is not the correct explanation of assertion (C) Assertion is true but reason is false. (D) Both assertion and reason are false.

Tardigrade Admin · Accepted Answer

In adiabatic expansion Δ Q=0 W=+ ve, Δ U=- ve ∴ U, T or product of p V will decrease because U propto T propto p V

Q. Assertion In adiabatic expansion the product of $p$ and $V$ always decreases.
Reason In adiabatic expansion process, work is done by the gas at the cost of internal energy of gas.

Both assertion and reason are true and reason is the correct explanation of assertion

Both assertion and reason are true but reason is not the correct explanation of assertion

Assertion is true but reason is false.

Both assertion and reason are false.

In adiabatic expansion $Δ Q = 0$
$W = +$ ve, $Δ U = -$ ve
$∴ U, T$ or product of $p V$ will decrease because
$U \propto T \propto p V$

Q. Assertion In adiabatic expansion the product of p and V always decreases. Reason In adiabatic expansion process, work is done by the gas at the cost of internal energy of gas.