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Q.

The molecules ofa given mass of a gas have a rms velocity of 200 m,/sec at 270C and 1.0 x 105 N/m2 pressure. When the temperature is 1270C and pressure is 0.5 x 105 N/m2, the rms velocity in m./sec will be

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a

10023

b

1002

c

4003

d

None of these

answer is C.

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Detailed Solution

Change in pressure will not affect the rms velocity of molecules. So we will calculate only the effect of temperafure.As vrms ∝ T∴ v3000v4000 = 300400 = 34 ⇒ 200v400 = 34⇒ v400 = 200 × 23 = 4003m/s

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