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A sample of 16 g charcoal was brought in...

A sample of 16 g charcoal was brought into contact with `CH_(4)` gas contained in a vessel of 1 litre at `27^(@) C` . The pressure of gas was found to fall from 760 to 608 torr. The density of chacoal sample is `1.6 g//m^(3)` . What is the volume of the `CH_(4)` gas adsorbed per gram of the adsorbent at 608 torr and `27^(@)C`?

A

`125mL//g`

B

`16.25 mL//g`

C

`25mL//g`

D

None of these

Text Solution

Verified by Experts

Final volume of gas, at 608 torr pressure
`V_2=(R_1V_1)/R_2=760/608 1.25 or V_2=12`
Volume occupied by gas = Volume of vessel – Volume occupied by charcoal
Difference of volume is due to adsorption of gas by charcoal `1000g =1.6 +16`
Volume of gas adsorbed by charcoal = 1250 – 990 = 260 ml
Volume of the gas adsorbed per gram of charcoal `=260/16=16.2` at 608 torr and `27^@C.`
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