Final answer:
Using Boyle's Law, the final volume of the gas, with an initial pressure of 30.0 psi and volume of 1.55 mL at a final pressure of 550.0 psi, is calculated to be 0.0827 mL.
Step-by-step explanation:
To calculate the final volume of a gas when its pressure changes at a constant temperature, we can use Boyle's Law, which states P1V1 = P2V2, where P is pressure and V is volume. Given an initial pressure of 30.0 psi and an initial volume of 1.55 mL, with a final pressure reading of 550.0 psi, we need to find the final volume (V2).
We rearrange the formula to solve for V2:
V2 = (P1V1) / P2
Plugging in the values:
V2 = (30.0 psi * 1.55 mL) / 550.0 psi
V2 = 45.5 mL / 550.0 psi
V2 = 0.0827 mL
Therefore, the final volume of the gas is 0.0827 mL.