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The dimensional formula for Boltzmann's ...

The dimensional formula for Boltzmann's constant is

A

`[ML^(2) T^(-2)theta^(-1)]`

B

`[ML^(2) T^(-2)]`

C

`[ML^(0) T^(-2)theta^(-1)]`

D

`[ML^(-2) T^(-1)theta^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
A

`k=R/N=[ML^2T^(-2) theta^(-1)]`
`R rarr` universal gas constant
`PV = nRT = R=(PV)/(nT) =W/("Temp") = [ML^2 T^(-2) theta^(-1)]`
`n rarr` Number of moles.
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