A cylinder is filled with 10.0L of gas and a piston is put into it. The initial pressure of the gas is measured to be 239.kPa.The piston is now pulled up, expanding the gas, until the gas has a final volume of 90.0L. Calculate the final pressure of the gas. Round your answer to 3 significant digits.
Question
A cylinder is filled with 10.0L of gas and a piston is put into it. The initial pressure of the gas is measured to be 239.kPa.The piston is now pulled up, expanding the gas, until the gas has a final volume of 90.0L. Calculate the final pressure of the gas. Round your answer to 3 significant digits.
Solution
This problem can be solved using Boyle's Law, which states that the pressure and volume of a gas have an inverse relationship when temperature is held constant. In other words, P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
Step 1: Identify the known values. P1 = 239 kPa V1 = 10.0 L V2 = 90.0 L
Step 2: Substitute the known values into Boyle's Law and solve for P2. P1V1 = P2V2 239 kPa * 10.0 L = P2 * 90.0 L P2 = (239 kPa * 10.0 L) / 90.0 L
Step 3: Calculate P2. P2 = 26.56 kPa
So, the final pressure of the gas, rounded to three significant digits, is 26.6 kPa.
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