The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas at 200 K is v₀. Then, r.m.s. speed of the gas at 800 K will be: v₀
Options

Question

The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas at 200 K is v₀. Then, r.m.s. speed of the gas at 800 K will be: v₀

G1 Physics · Accepted Answer

For an ideal gas, rms speed is v(rms) = √(3RT/M) For the same gas, v(rms) ∝ √T. Therefore, v₂/v₁ = √(800/200) = √4 = 2 So the rms speed at 800 K is 2v₀. Hence option B follows.