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The equation of state for n moles of an ...

The equation of state for n moles of an idea gas is PV=nRT.
Where R is the universal contant. The dimension of R is

A

`M^(0)LT^(-2)K^(-1)mol^(-1)`

B

`ML^(2)T^(-2)K^(-1)mol^(-1)`

C

`M^(0)L^(2)T^(-2)K^(-1)mol^(-1)`

D

`ML^(-2)T^(-2)K^(-1)mol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Universal gas constant, `R=(PV)/(nT)=([ML^(-1)T^(-2)][L^(3)])/([mol][K])`
Dimensionally, `ML^(2)T^(-2)K^(-1)mol^(-1)`
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