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, 3.0 atm and 1.65 L to 110°C, 0.7 atm and 1.0 L, respectively?
Correct answer: D. 81.8%
- A. 41.4%
- B. 8.18%
- C. 4.14%
- D. 81.8%
Explanation
In order to solve this question, the following steps must be followed; 1) find n1(initial moles) and n2 (final moles) 2) to find the remaiing fraction divide n2 by n1 3) to find the fraction escaped substract the remaining fraction from the original/whole which is always 1. 4) to find the percentage escaped dvide the fraction escaped by original fraction and multiply it by 100%. Data to be used: -> Initial (1) Pressure =3 atm Volume = 1.65 L Temperature = 220 + 273 = 493K ->Final(2) Pressure =0.7 atm Volume = 1.0 L Temperature =110 + 273 =383K PRO-TIP *Take R as R for both as this is a comparison question where R cancels out. Using the value of R might complicate the calculation. The solution for this question is given below:
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About Ideal Gas Equation
The ideal gas equation, PV = nRT, relates pressure, volume, amount and absolute temperature when gas particles are assumed to have negligible volume and no intermolecular forces. Applications include finding molar mass, density or an unknown gas variable, with careful use of Kelvin temperature and consistent units, and comparison with real-gas behaviour.
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