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Question

Chemistry Question on Van Der Waals equation

: At high pressure, the compression factor ZZ is (1+PbRT)\left(1+\frac{P b}{R T}\right). : At high pressure van der Waals' equation is modified as P(Vb)=RTP(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.

Answer

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

Explanation

Solution

van der Waals' equation is (P+aV2)(Vb)=RT\left(P+\frac{a}{V^{2}}\right)(V-b)=R T at high pressure P(Vb)=RTP(V-b)=R T PVPb=RTP V-P b=R T PVRT=(1+PbRT)\frac{P V}{R T}=\left(1+\frac{P b}{R T}\right) if PVRT=Z,\frac{P V}{R T}=Z, then Z=(1+PbRT)Z=\left(1+\frac{P b}{R T}\right)