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`?

Options

A. `125mL//g`
B. `16.25 mL//g`
C. `25mL//g`
D. None of these

Explanation

To solve the problem step-by-step, we will follow the outlined process in the video transcript.

### Step 1: Determine Initial and Final Conditions
We have the following initial conditions:
- Initial pressure, \( P_1 = 760 \, \text{torr} \)
- Final pressure, \( P_2 = 608 \, \text{torr} \)
- Volume of the vessel, \( V_1 = 1 \, \text{L} = 1000 \, \text{mL} \)

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