Question

1. assume the pressure is constant for the following questions. use complete sentences to receive full credit.

a. what is the relationship between volume and temperature?
b. if the temperature of the air decreases by a factor of two, what happens to the volume of the air?
c. if the temperature of the air is tripled, what happens to the volume of the air?

Explanation:

a. This describes Charles's Law, which applies at constant pressure: volume and absolute temperature are directly proportional.
b. Based on the direct proportionality from Charles's Law, if temperature (absolute) decreases by a factor of two, volume will match this change.
c. Using the direct proportionality of Charles's Law, tripling the absolute temperature will cause a corresponding change in volume.

Answer:

a. At constant pressure, the volume of a gas is directly proportional to its absolute (Kelvin) temperature; as temperature increases, volume increases, and as temperature decreases, volume decreases, provided pressure and the amount of gas remain constant.
b. If the absolute temperature of the air decreases by a factor of two, the volume of the air will also decrease by a factor of two, since volume and absolute temperature are directly proportional at constant pressure.
c. If the absolute temperature of the air is tripled, the volume of the air will also triple, due to the direct proportional relationship between volume and absolute temperature at constant pressure.