Assertion: At high pressure, the compression factor Z is (1+(P b/R T)). Reason: At high pressure van der Waals' equation is modified as P(V-b)=R T.

Question

Assertion: At high pressure, the compression factor Z is (1+(P b/R T)). Reason: At high pressure van der Waals' equation is modified as P(V-b)=R T. (A) If both Assertion and Reason are true and Reason is the correct explanation of Assertion. (B) If both Assertion and Reason are true but Reason is not the correct explanation of Assertion. (C) If Assertion is true but Reason is false. (D) If both Assertion and Reason are false.

Tardigrade Admin · Accepted Answer

van der Waals' equation is (P+(a/V2))(V-b)=R T at high pressure P(V-b)=R T P V-P b=R T (P V/R T)=(1+(P b/R T)) if (P V/R T)=Z, then Z=(1+(P b/R T))

Q. Assertion : At high pressure, the compression factor $Z$ is $(1 + \frac{P b}{RT})$ .
Reason : At high pressure van der Waals' equation is modified as $P (V - b) = RT$ .

If both Assertion and Reason are true and Reason is the correct explanation of Assertion.

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

If Assertion is true but Reason is false.

If both Assertion and Reason are false.

van der Waals' equation is
$(P + \frac{a}{V ^{2}}) (V - b) = RT$
at high pressure
$P (V - b) = RT$
$P V - P b = RT$
$\frac{P V}{RT} = (1 + \frac{P b}{RT})$
if $\frac{P V}{RT} = Z,$ then
$Z = (1 + \frac{P b}{RT})$

Q. Assertion : At high pressure, the compression factor Z is (1+RTPb​). Reason : At high pressure van der Waals' equation is modified as P(V−b)=RT.