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Question

Question: A partition divides a container having insulated walls into two compartments I and II. The same gas ...

A partition divides a container having insulated walls into two compartments I and II. The same gas fills the two compartments (shown in figure). The ratio of the number of molecules in compartments I and II is–

A

(a) 1 : 6

B

6 : 1

C

4 : 1

D

1 : 4

Answer

6 : 1

Explanation

Solution

vrms µ T\sqrt{T} [T = temperature in Kelvin]

T1 = 27 + 273 = 300 K

T2 = 4 × 27 + 273 = 381 K

\ v2 = 381300\sqrt{\frac{381}{300}}× 500 {}_{–}^{\sim} 560 m/s