Question

If a certain gas occupies a volume of 20. L when the applied pressure is 10. atm , find the pressure when the gas occupies a volume of 5.0 L . Express your answer to two significant figures and include the appropriate units. View Available Hint(s)

Answer 1

The new pressure is 40 atm

Step-by-step explanation:

Step 1: Data given

Volume of the gas = 20.0 L

Pressure of the gas = 10.0 atm

The volume decreases to 5.0 L

Step 2: Calculate the new pressure

P1*V1 = P2*V2

⇒with P1 = the initial pressure of the gas = 10.0 atm

⇒with V1 = the initial volume of the gas = 20.0 L

⇒with P2 = the new pressure = TO BE DETERMINED

⇒with V2 = the decreased volume = 5.0 L

10.0 atm * 20.0 L = P2 * 5.0 L

P2 = 200 / 5.0

P2 = 40 atm

Since the volume is 4x smaller, the pressure is 4x more

The new pressure is 40 atm