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Two vessels of volumes 16.4 L and 5 L co...

Two vessels of volumes 16.4 L and 5 L contains two ideal gases of molecular existence at the respective temperature of 27°C and 227°C and exert 1.5 and 4.1 atm, respectively. The ratio of the number of molecules of the former to that of the later is

A

2

B

1

C

`1/2`

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
A
From `(p_1 V_1)/( n_1 T_1) = (p_2 V_2)/( n_2 T_2)`
`(n_1)/( n_2) = (p_1 V_1 T_2)/( p_2 V_2) = (1.5 xx 16.4 xx 500)/( 4.1 xx 5 xx 300) =2`
`therefore n_1 : n_2 = 2:1`
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