Question

A cylinder is filled with 10.0 L of gas and a piston is put into it. The initial pressure of the gas is measured to be 90.1 kPa .The piston is now pulled up, expanding the gas, until the gas has a final volume of 49.0 L. Calculate the final pressure of the gas. Round your answer to 3 significant digits.

Answer 1

Answer:

18.4 kPa

Explanation:

Step 1: Given data

• Initial volume of the cylinder (V₁): 10.0 L

• Initial pressure of the gas (P₁): 90.1 kPa

• Final volume of the cylinder (V₂): 49.0 L

• Final pressure of the gas (P₂): ?

Step 2: Calculate the final pressure of the gas

If we assume the gas behaves as an ideal gas, we can calculate its final volume using Boyle's law.

P₁ × V₁ = P₂ × V₂

P₂ = P₁ × V₁/V₂

P₂ = 90.1 kPa × 10.0 L/49.0 L

P₂ = 18.4 kPa