6. The pressure P (measured in kilopascals, kPa) for a particular sample of
gas is directly proportional to the temperature T (measured in kelvin, K)
and inversely proportional to the volume V measured in litres, L). With
k representing the constant of proportionality, this relationship can be
written in the form of the equation P = k T
(a) Find the constant of proportionality, k, if 150 L of gas exerts a
pressure of 23.5 kPa at a temperature of 375 K.
(b) Using the value of k from part (a) and assuming that the
temperature is held constant at 375 K, write the volume V as a
function of pressure P for this sample of gas.