Boyle's Law - Heat & Thermodynamics Step by Step

At fixed temperature, pressure times volume stays constant for this ideal gas model.

highlighted = computed this step

Start at fixed temperature

At the first state, pressure 2 pascals times volume 6 cubic meters gives 12 joules.

p_iV_i = 2\ \text{Pa}\cdot 6\ \text{m}^{3} = 12\ \text{J}

At the second state, pressure is 4 pascals and volume is 3 cubic meters.

p_fV_f = 4\ \text{Pa}\cdot 3\ \text{m}^{3}

The second product is also 12 joules, so higher pressure pairs with lower volume.

p_iV_i = p_fV_f = 12\ \text{J}