Assertion In equation Δ Q=Δ U+p Δ V, quantities on the both sides are intensive. Reason The product of an intensive variable like p and an extensive quantity Δ V is extensive.

Question

Assertion In equation Δ Q=Δ U+p Δ V, quantities on the both sides are intensive. Reason The product of an intensive variable like p and an extensive quantity Δ V is extensive. (A) Both Assertion and Reason are correct and Reason is the correct explanation of Assertion. (B) Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion. (C) Assertion is correct but Reason is incorrect. (D) Assertion is incorrect but Reason is correct.

Tardigrade Admin · Accepted Answer

In equation Δ Q=Δ U+p Δ V, quantities on both sides are extensive. This is because, Δ Q is clearly proportional to the total mass of the system and hence it is extensive. On the right hand side, Δ U is an extensive variable. Also, the product of an intensive variable like p and an extensive quantity Δ V is extensive. Therefore, Assertion is incorrect but Reason is correct.

Q. Assertion In equation ΔQ=ΔU+pΔV, quantities on the both sides are intensive. Reason The product of an intensive variable like p and an extensive quantity ΔV is extensive.

Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.

Assertion is correct but Reason is incorrect.

Assertion is incorrect but Reason is correct.

Q. Assertion In equation $Δ Q = Δ U + p Δ V$ , quantities on the both sides are intensive.
Reason The product of an intensive variable like $p$ and an extensive quantity $Δ V$ is extensive.