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What percentage of a sample of nitrogen ...

What percentage of a sample of nitrogen must be allowed to escape if its temperature, pressure and volume are changed from `220^(@)C`, 3.0 atm and 1.65 L to `110^(@)`C, 0.7 atm and 1.0 L respectively? : 0.1813, 0.34, 0.62, 0.8187

A

0.1813

B

0.34

C

0.62

D

0.8187

Text Solution

Verified by Experts

The correct Answer is:
D
From `pV = (w)/(m) RT , w = (pVm)/(RT)`
Mass of gas before escaping = `(3.0 xx 1.65 xx 28)/(0.0821 xx 493) = 3.42`g
Mass of gas after escaping = `(0.7 xx 1.0 xx 28)/(0.0821 xx 383) = 0.62` g
Percentage of nitrogen allowed to escape = `((3.42 - 0.62))/(3.42) xx 100 = 81.87 %`
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