Boyle’s law states that for a gas at constant
temperature, the volume of a fixed mass of gas
is inversely proportional to its absolute pressure. If a gas occupies a volume of 1.5 m^3 (cubed) at
a pressure of 200 × 10^3 Pascals, determine (a)
the constant of proportionality, (b) the volume
when the pressure is 800 × 10^3 Pascals and (c)
the pressure when the volume is 1.25 m^3.

Question

Boyle’s law states that for a gas at constant
temperature, the volume of a fixed mass of gas
is inversely proportional to its absolute pressure. If a gas occupies a volume of 1.5 m^3 (cubed) at
a pressure of 200 × 10^3  Pascals, determine (a)
the constant of proportionality, (b) the volume
when the pressure is 800 × 10^3 Pascals and (c)
the pressure when the volume is 1.25 m^3.

Vocaloid · Answer

volume and pressure are inversely proportional

meaning PV = k
so for part a), to determine the constant of proportionality, simply multiply pressure * volume

for part b), use PV = k, and the k-value you determined in part a), to calculate the volume at that pressure
part c) similar logic, but this time you plug in volume and calculate pressure