Answer :

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According to Boyle's gas law, the statement "a increase in the pressure of a gas is proportional to the decrease in volume at constant temperature" is true because volume and pressure of a  gas are inversely related.

What are gas laws?

Gas laws refers to the laws which are used to explain the behavior of gases in ideal conditions.

The gas laws describe the effect of temperature, number of moles of gas and pressure are related.

The gas laws include:

  • Boyle's law which states that the pressure of a given mass of gas at constant temperature is inversely proportional to the volume of the gas.
  • Charles' law of gases which states that the volume of a given mass of gas at constant pressure is directly proportional to the temperature of the gas.

Considering the given statements:

  • an increase in the temperature of a given mass of gas increases the number of gas molecules is false because constant mass means constant mole of gas
  • an increase in the temperature of the gas does not affect the kinetic energy is false because temperature is directly related to the kinetic energy of gases.
  • an increase in the pressure of the gas is proportional to the increase in volume is false because volume and pressure of a  gas are inversely related
  • a increase in the pressure of a gas is proportional to the decrease in volume at constant temperature is true because volume and pressure of a  gas are inversely related.
  • a decrease in the pressure of the gas decreases the number of gas molecules present is false because mass of gas is constant.

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Note that the complete question is given below:

Which of the following statements is true?

A. an increase in the temperature of a given mass of gas increases the number of gas molecules

B. an increase in the temperature of the gas does not affect the kinetic energy

C. an increase in the pressure of the gas is proportional to the increase in volume

D. a increase in the pressure of a gas is proportional to the decrease in volume at constant temperature

E. a decrease in the pressure of the gas decreases the number of gas molecules present

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