At a pressure of 5.00 atm, the volume of a gas is 7.00 L. Assuming the temperature remains constant, at what pressure will the new volume be 5.50 L?
Use the sample problem below and follow the 5 steps to help you solve the problem you were given.
a
6.36 atm
b
17.5 atm
c
7.70 atm
d
3.91 atm
To solve this problem, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure, as long as the temperature remains constant.
Step 1: Write down the given information:
P1 = 5.00 atm (initial pressure)
V1 = 7.00 L (initial volume)
V2 = 5.50 L (final volume)
Step 2: Write down the variables we need to solve for:
P2 = ? (final pressure)
Step 3: Write down the Boyle's Law equation:
P1 * V1 = P2 * V2
Step 4: Substitute the given values into the equation:
(5.00 atm) * (7.00 L) = P2 * (5.50 L)
Step 5: Solve for P2 by dividing both sides of the equation by 5.50 L:
(5.00 atm * 7.00 L) / 5.50 L = P2
35.00 atm / 5.50 L = P2
6.36 atm = P2
Therefore, the final pressure will be 6.36 atm. The correct answer is option a.
To solve this problem, you can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure when the temperature remains constant. Boyle's Law can be expressed as:
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 given values from the problem statement.
- Initial pressure (P1) = 5.00 atm
- Initial volume (V1) = 7.00 L
- Final volume (V2) = 5.50 L
Step 2: Write down the formula for Boyle's Law.
P1V1 = P2V2
Step 3: Substitute the known values into the equation.
(5.00 atm)(7.00 L) = P2(5.50 L)
Step 4: Solve for the final pressure (P2).
35.00 atm·L = 5.50 P2 atm·L
P2 = 35.00 atm·L / 5.50 L
Step 5: Calculate the final pressure (P2).
P2 = 6.36 atm
Therefore, the pressure at which the new volume will be 5.50 L is approximately 6.36 atm. So, the correct answer is option a) 6.36 atm.
To solve this problem, we can use Boyle's law, which states that the volume of a gas is inversely proportional to the pressure of the gas, as long as the temperature remains constant.
Step 1: Identify the given values:
Pressure 1 (P1) = 5.00 atm
Volume 1 (V1) = 7.00 L
Volume 2 (V2) = 5.50 L
Step 2: Write down Boyle's law equation:
P1 * V1 = P2 * V2
Step 3: Plug in the given values:
5.00 atm * 7.00 L = P2 * 5.50 L
Step 4: Solve for P2:
P2 = (5.00 atm * 7.00 L) / 5.50 L
Step 5: Calculate the final answer:
P2 = 6.36 atm
Therefore, the pressure at which the new volume will be 5.50 L is approximately 6.36 atm.