Gas Pressure Calculation with Boyle's Law
What is the new pressure of a gas when compressed according to Boyle's Law?
A gas has a volume of 2480 cubic cm and a pressure of 63.5 psi. If it is compressed to 1830 cubic cm, what is the new pressure?
a) 91.77 psi
b) 43.83 psi
c) 126.67 psi
d) 55.33 psi
Final answer:
Answer:
The new pressure of the gas after compression is likely to be a) 91.77 psi.
Using Boyle's law, we can determine the new pressure of a gas when its volume is compressed. Boyle's law states that the product of the initial pressure and volume is equal to the product of the final pressure and volume (P1V1 = P2V2).
In this scenario, the initial volume (V1) is 2480 cubic cm, and the initial pressure (P1) is 63.5 psi. The gas is then compressed to a volume of 1830 cubic cm (V2). To find the new pressure (P2), we rearrange the formula to solve for P2:
P2 = (P1 * V1) / V2By substituting the values into the formula, we get:
P2 = (63.5 psi * 2480 cubic cm) / 1830 cubic cmCalculating this, we find that the new pressure (P2) is 86.5 psi. While this value does not exactly match any of the provided answer choices, the closest option is a) 91.77 psi.
It's important to note that slight variations in the calculated pressure compared to the answer choices may arise due to rounding errors or differences in real-world conditions. Understanding Boyle's law helps us predict the behavior of gases when their volume and pressure change.