The pressure P of a sample of oxygen gas that is compressed at a constant temperature is related to the volume V of gas by a reciprocal function of the form P − k/V.

(a) A sample of oxygen gas that occupies 0.671 m³ exerts a pressure of 39 kPa at a temperature of 293 K (absolute temperature measured on the Kelvin scale). Find the value of k in the given model.

(b) If the sample expands to a volume of 0.916 m³, find the new pressure.