NEET | 2016Basic Maths and Units and DimensionsHard

Question

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

Options

A.

1002

B.

4003

C.

10023

D.

1003

Solution

Rms speed of molecules is Vms = 3RTM
So it depends only on temperature
Vrms ∝ T
V1V2=T1T2⇒200V2=300400
200V2=32⇒V2=4003 m/sec

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