NEETPhysics-Thermodynamics

NEET Physics Equation of State MCQ Question

Type: MCQ-conceptual-Hard-Class 11

The equation of state of a gas is given by \left(P + rac{a}{V^3} ight)\left(V - b^2 ight) = 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

[ML⁻¹T⁻²] and [L³/²]

B

[ML⁻¹T⁻²] and [L³]

C

[ML⁻²T⁻²] and [L⁶]

D

[ML⁻²T⁻²] and [L⁶]

Correct Answer

Option B

Detailed Explanation

The dimensions are derived from the equation by comparing with the ideal gas law and ensuring dimensional consistency.

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