The dimensions of universal gas constant are

The Dimensions Of Universal Gas Constant Are Physics QuestionThe Dimensions Of Universal Gas Constant Are Physics Question

The dimensions of universal gas constant are

Options

(a) [ML²T⁻²θ⁻¹]
(b) [M²LT⁻²θ]
(c) [ML³T⁻²θ⁻¹]
(d) None of these

Correct Answer:

[ML²T⁻²θ⁻¹]

Explanation:

According to Ideal gas equation,  PV = nRT
where P is the pressure, V is the volume, n is the no of moles, R is gas constant and T is temperature.
now , R = PV/nT
dimension of pressure = [ML⁻¹T⁻²]
dimension of volume = [ L³ ]
dimension of mole = no dimension
dimension of temperature = [ θ]

So , dimension of R =[ML⁻¹T⁻²][L³]/[θ]
=[ ML²T⁻²θ⁻¹]

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