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When 1 g of gas A at 4 bar pressure is a...

When 1 g of gas A at 4 bar pressure is added to 2g of gas B, the total pressure inside the container becomes 6 bar. Which of the following is true-

A

`M_(A)=2M_(B)`

B

`M_(B)=2M_(A)`

C

`M_(A)=4M_(B)`

D

`M_(B)=4M_(A)`

Text Solution

Verified by Experts

The correct Answer is:
D
`n_(1)/p_(1)=n_(2)/p_(2)`
`therefore ((1)/(M_(A)))/(4)=((1)/(M_(A))+(2)/(M_(B)))/(6)`
or, `(6)/(4M_(A))-(1)/(M_(A))=(2)/(M_(B))`
or, `(6-4)/(4M_(A))=(2)/(M_(B)) or, (1)/(4M_(A))=(1)/(M_(B)) or, M_(B)=4M_A`
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