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Find the dimension of gas constant R ?

Find the dimension of gas constant R ?

Grade:12

1 Answers

Apoorva Arora IIT Roorkee
askIITians Faculty 181 Points
6 years ago
According to the Ideal Gas Law
PV = nRT
P is pressure (pascal or N/m2 or kg/m/s2)
V is volume (m3)
n is number of moles (moles)
R is the Gas Constant (need to find out)
T is temperature (Kelvin K)
R = PV / nT
= ( Kg/m/s2 x m3 ) / ( mole x K )
= ( Kg.m2/s2 ) / ( mole x K )
Now 1 Joule = 1 Kg.m2 / s2
So R
= J / mole.K
So the dimensions areML2T-3
Thanks and Regards
Apoorva Arora
IIT Roorkee
askIITians Faculty

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