STANDARDPhysics-Thermodynamics

STANDARD Physics Equation of State MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The equation of state of a gas is given by (P+aV2)(Vb2)=cT\left( P + \frac{a}{V^2} \right) (V - b^2) = cT, where P, V, T are pressure, volume and temperature respectively, and a, b, c are constants. The dimensions of a and b are respectively

A

[ML⁸T⁻²] and [L³/2]

B

[ML⁵T⁻²] and [L³]

C

[ML⁵T⁻²] and [L⁶]

D

[ML⁶T⁻²] and [L³/2]

Correct Answer

Option A

Detailed Explanation

The dimensions of a are derived from the dimensions of pressure times volume squared, and the dimensions of b are derived from the volume term, leading to [ML⁸T⁻²] and [L³/2] respectively.

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