What percent of a sample of nitrogen must be allowed to escape if its temperature, pressure, and volume are to be changed from `220^(@)C`, `3 atm`, and `1.65 L` to `110^(@)C`, `0.7 atm`, and `1 L`, respectively?

Explanation

Applying the formula, `m` (mass of the gas) `= (PV xx M)/(RT)`, under boht the conditions,
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`