Question

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

Answer 1

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.