State Boyle's law -- It states that at constant temperature of a fixed mass of a gas is inversely proportional to its volume. (b) A gas occupies 500cm³ at 27°C and 100,000 Pa. What will be its volume at 0°C and 101,325 Pa?

Halijoto katika sheria za gesi lazima iwe katika Kelvin.

$$T_1 = 27^\circ\text{C} + 273 = 300 \text{ K}$$ $$T_2 = 0^\circ\text{C} + 273 = 273 \text{ K}$$

Sheria ya Gesi Iliyounganishwa inasema:

$$\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$$

Ambapo:
$P_1 = 100,000 \text{ Pa}$
$V_1 = 500 \text{ cm}^3$
$T_1 = 300 \text{ K}$
$P_2 = 101,325 \text{ Pa}$
$T_2 = 273 \text{ K}$
$V_2 = ?$

$$V_2 = \frac{(100,000 \text{ Pa})(500 \text{ cm}^3)(273 \text{ K})}{(101,325 \text{ Pa})(300 \text{ K})}$$ $$V_2 = \frac{13,650,000,000 \text{ Pa} \cdot \text{cm}^3 \cdot \text{K}}{30,397,500 \text{ Pa} \cdot \text{K}}$$ $$V_2 \approx 449.03 \text{ cm}^3$$

Ujazo mpya wa gesi utakuwa:

$$\boxed{\text{449.03 cm}^3}$$