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A sealed flask containing a gas at 107 deg C and 722 mmHg is cooled and compressed to 100 K and 760 mmHg. If the initial density of the gas was 1 g/cm³, find the final density (in g/cm³).

1. 4
2. 4000
3. 1.12
4. 1120

Correct answer: 4

Solution

T1 = 107 + 273 = 380 K. d2/d1 = (P2/P1)*(T1/T2) = (760/722)*(380/100) ≈ 1.053 * 3.8 ≈ 4. So d2 = 4 g/cm³.

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