Final answer:
The new volume of gaseous sulfur dioxide when the pressure is increased from 5600 Pascals to 15000 Pascals at constant temperature is approximately 0.5752 Liters, according to Boyle's Law.
Step-by-step explanation:
The subject of this question is Chemistry, specifically relating to the behavior of gases under different pressures, described by Boyle's Law. To find the new volume of the gas when the pressure is changed from 5600 Pascals to 15000 Pascals at a constant temperature, we can apply Boyle's Law which states that the product of the initial pressure and volume (P1V1) is equal to the product of the final pressure and volume (P2V2).
Given: P₁ = 5600 Pascals, P₂ = 15000 Pascals, V₁ = 1.53 L, V₂ = ? We can rearrange the formula to solve for V₂:
V₂ = (P₁V₁) / P₂
By plugging in the given values:
V₂ = (5600 Pa * 1.53 L) / 15000 Pa
Now, calculate the new volume V₂.
V₂ = 0.5752 L (rounded to four decimal places)
Therefore, when the pressure is increased to 15000 Pascals the new volume of the gas will be approximately 0.5752 Liters.