Question

Find the SI unit of R (universal gas constant) present in the equation

PV = nRT from dimensional analysis of the equation​

Answer 1

Answer:

using ideal gas equation

R=

nT

PV

dimensions of pressure ML

−1

T

−2

dimensions of Volume L

3

number of moles is dimensionless

dimensions of Temperature θ

so, dimensions of R

θ

(ML

−1

T

−2

)(L

3

)

=ML

2

T

−2

θ

−1

Hence,Option B is correct