If pressure is reduced to one-half and the temperature of a gas is doubled, what will be the volume?
Correct answer: B. Increased 4 times
- A. Reduced 4 times
- B. Increased 4 times
- C. Remains same
- D. Gets doubled
Explanation
Option A: Reduced 4 times: This option suggests that the volume of the gas would be reduced by a factor of 4. However, this is not the correct relationship between the given changes in pressure and temperature.Option B: According to 'Boyle's law', pressure is inversely proportional to volume so reducing pressure one half increases volume twice. While according to 'Charles law', the volume of a gas is directly proportional to its absolute temperature. Doubling the temperature doubles the volume. The overall change in volume is 2 x 2 = 4 times. Option C: Remains the same: This option suggests that the volume of the gas would not change. However, the given changes in pressure and temperature will indeed affect the volume of the gas.Option D: Gets doubled: This option suggests that the volume of the gas would be doubled. However, doubling the temperature alone does not necessarily result in a doubling of the volume when considering the change in pressure as well.
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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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