Question

Use the dimensional analysis and check the correctness of given equation:- PV= nRT (no spam ) plz

Answer 1

Answer:

PV = nRT

n and R are constants.

Dimensions of Pressure = ML^-1T^-1

Volume dimensions = L³

$(pressure)(volume) = (temperature) \\ (ML {}^{ - 1} T {}^{ - 2} )(L {}^{3} ) = (k) \\ ML {}^{2} T {}^{ - 2} = k$

It is dimensionally inconsistent or incorrect

Answer 2

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