Physics-Ideal Gas Equation

NEET Physics Ideal Gas Equation MCQ Question

Type: MCQ-numerical-Easy-Class 11

If the pressure of an ideal gas is 2 atm, its volume is 5 L, and the number of moles is 0.5 mol, what is the temperature of the gas in Kelvin? Use R = 8.314 J mol⁻¹ K⁻¹.

A

487.8 K

B

405.8 K

C

612.3 K

D

342.7 K

Correct Answer

Option A

Detailed Explanation

Using the ideal gas equation PV = μRT, substituting P = 2 atm (converted to 202650 Pa), V = 5 L (converted to 0.005 m³), μ = 0.5 mol, and R = 8.314 J mol⁻¹ K⁻¹, we solve for T: T = (PV)/(μR) = (202650 * 0.005)/(0.5 * 8.314) = 487.8 K.

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