A gas at which condition has maximum density?
Correct answer: B. 2 atm, 10°C
- A. 1 atm, 0°C
- B. 2 atm, 10°C
- C. 3 atm, 546K
- D. All same
Explanation
Gas density is affected by both pressure and temperature according to the ideal gas law, PV = nRT. At constant volume, density is directly proportional to pressure and inversely proportional to temperature. Therefore, the condition with the highest pressure and lowest temperature will yield the highest density. Option B, with 2 atm and 10°C, offers a higher density than the other options due to its relatively high pressure and moderate temperature, making it the correct choice. Options A and C have either lower pressure or higher temperatures, leading to lower densities. Option D is incorrect as density cannot be the same across different conditions.
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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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