Which of the following statements is correct?
A. The average kinetic energy of a gas is directly proportional to its temperature
B. At constant temperature, the volume of a gas increases as the pressure increases.
C. The pressure of a gas is inversely proportional to its volume.
D. The temperature of gas is directly proportional to its volume.
According to kinetic theory of gasses, the average kinetic energy of a gas is directly proportional to its absolute temperature. That is, as the temperature of a gas is increased, the gas particles gain more speed, increasing their average kinetic energy.
Now for the right answer to the above question:
- Option A is correct. this is a restatement of kinetic theory of gas.
- Option B is incorrect. No, according to Boyle’s law, at constant temperature, the volume of a gas decreases (not increase) as the pressure increases. This is because its volume is inversely proportional to its pressure.
- C is incorrect. Yes, the pressure of a gas is inversely proportional to its volume, but this is with a condition which must be stated, this condition is constant temperature.
- D is not the correct answer. Yes, the temperature of gas is directly proportional to its volume, but this is coming at a price, the pressure must be kept constant.
You may please note these/this:
- Options C and D, not chosen as the answer because important conditions of constancy in temperature and pressure respectively, were not stated in both.
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/ culled from 2015 JAMB-UTME Chemistry past question 1 /