Final answer:
The volume occupied by the gas when the temperature is changed to 30°C and the pressure is changed to 740 mmHg is approximately 355.04 cm³.
Step-by-step explanation:
According to Charles's Law, the volume of a gas is directly proportional to its temperature, assuming that the pressure remains constant.
Given:
- Initial temperature (T₁) = 25°C = 25 + 273 = 298 K
- Initial volume (V₁) = 350 cm³
- Final temperature (T₂) = 30°C = 30 + 273 = 303 K
- Final pressure (P₂) = 740 mmHg
Using the formula V₁ / T₁ = V₂ / T₂, we can solve for V₂:
- V₂ = (V₁ * T₂) / T₁
- V₂ = (350 * 303) / 298
- V₂ ≈ 355.04 cm³
Therefore, the volume occupied by the gas when the temperature is changed to 30°C and the pressure is changed to 740 mmHg is approximately 355.04 cm³.