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Under what conditions will a pure sample of an ideal gas not only exhibit a pressure of 1 atm but also a concentration of 1 mole litre⁻¹? (R = 0.082 litre atm mol⁻¹ deg⁻¹)

1. At STP
2. When V = 22.4 litres
3. When T = 12 K
4. Impossible under any conditions

Correct answer: Impossible under any conditions

Solution

For an ideal gas to have a concentration of 1 mole/litre at 1 atm, the volume of 1 mole must be 1 litre. Using the ideal gas equation PV = nRT, this would require an unrealistically low temperature or extremely high pressure, which is not feasible for an ideal gas. Hence, it is impossible.

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