Question

Use the dimensional analysis and check the correctness of given equation:-
PV= nRT

Answer 1

PV=nRT

Here

P=Pressure

V=Volume

n=Molarity

R=universal gas constant

T=Temperature.

LHS

`\\ \tt\bull\leadsto PV`

`\\ \tt\bull\leadsto [ML^2T^(-2)][M^0L^3T^0]`

`\\ \tt\bull\leadsto [ML^5T^(-2)]`

RHS

`\\ \tt\bull\leadsto nRT`

`\\ \tt\bull\leadsto [M^0L^(3)T^0][M^1 L^2 T^(-2)K^(-1)][M^0L^0T^0K^1]`

`\\ \tt\bull\leadsto [ML^5T^(-2)]`

LHS=RHS

hence verified