Determining Gas Volume at Different Pressures
What is the relationship between volume and pressure at constant temperature for a gas?
The relation between volume and pressure at constant temperature is expressed by the formula: p1v1 = p2v2. If a gas at 25.0 °C occupies 3.60 liters at a pressure of 2.00 atm, what will be its volume at a pressure of 3.50 atm?
Answer:
The gas law formula relating volume and pressure at constant temperature is p1v1 = p2v2. In this case, the initial pressure (p1) is 2.00 atm, initial volume (v1) is 3.60 liters, and final pressure (p2) is 3.50 atm. We need to find the final volume (v2).
Using the formula p1v1 = p2v2, we can rearrange it to solve for v2:
v2 = (p1 * v1) / p2Substitute the given values into the formula:
v2 = (2.00 atm * 3.60 liters) / 3.50 atm
v2 = 7.20 / 3.50
v2 ≈ 2.05 Liters
Therefore, the volume of the gas at 25.0 °C will be approximately 2.05 Liters when the pressure is increased to 3.50 atm.