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Containers A and B have same gases. Pres...

Containers A and B have same gases. Pressure, volume and temperature of A are all twice that of B, then the ratio of number of molecules of A and B are

A

`1:2`

B

2

C

`1:4`

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
According to gas law
PV = nRT , n = (PV)/(RT)`
`(n_A)/(n_B) = ( (P_1V_1)/(RT_1))/( (P_2V_2)/(RT_2)) , n_A/n_B = (P_1V_1)/(T_1) xx (T_2)/(P_2V_2)`
`n_A/n_B = (2P xx 2V)/(2T) xx (T)/(PV) , n_A/n_B = 2/1`
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