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Question

Chemistry Question on States of matter

Dimension of universal gas constant (R)(R) is

A

[VPT1n1]\left[V P T^{-1} n^{-1}\right]

B

[VP1Tn1]\left[V P^{-1} T n^{-1}\right]

C

[VPTn1][VPTn^{-1}]

D

[VPT1n][VPT^{-1}n]

Answer

[VPT1n1]\left[V P T^{-1} n^{-1}\right]

Explanation

Solution

Dimension of universal gas constant (R)( R ) is
[VPT1n1]\left[V P T^{-1} n^{-1}\right]
pV=nRT\because p V=n R T
R=pVnT=pVn1T1\therefore R=\frac{p V}{n T}=p V_{n}^{-1} T^{-1}