The molecules of a given mass of a gas have r.m.s. velocity of 200 ~ms ⁻¹ at 27^ C and 1.0 10⁵ Nm ⁻² pressure. When the temperature and pressure of the gas are respectively, 127^ C and 0.05 10⁵ Nm ⁻², the r.m.s. velocity of its molecules in

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The molecules of a given mass of a gas have r.m.s. velocity of 200 ~ms ⁻¹ at 27^ C and 1.0 10⁵ Nm ⁻² pressure. When the temperature and pressure of the gas are respectively, 127^ C and 0.05 10⁵ Nm ⁻², the r.m.s. velocity of its molecules in ms ⁻¹ is :

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Correct answer: B. 400 3

Here v₁=200 ~m / s ; temperature T ₁=27^ C =27+273=300 k temperature T ₂=127^ C =127+273=400 k V =? R.M.S. Velocity, V T array l v 200 = 400 300 v= 200 2 3 ~m / s v = 400 3 ~m / s array

The molecules of a given mass of a gas have r.m.s. velocity of 200 ~ms ⁻¹ at 27^ C and 1.0 10⁵ Nm ⁻² pressure. When the temperature and pressure of the gas are respectively, 127^ C and 0.05 10⁵ Nm ⁻², the r.m.s. velocity of its molecules in ms ⁻¹ is :

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