The pressure exerted by a gas is 2.0 atm while it has a volume of 458 cm3. What would be the volume of this sample of gas at standard atmospheric pressure?

Question

The pressure exerted by a gas is 2.0 atm while it has a volume of 458 cm3. What would be the volume of this sample of gas at standard atmospheric pressure?

 

must show units, and must be rounded to the correct number of significant digits. Pressure for STP in atmospheric units (atm) is 1.0, STP for kilopascals (kPa) is 101.3 kPa

Answer 1

We have to first convert our volume to L. This is done by seeing that 458 cm3 = 458 mL (1/1000), that converts it to 0.458 L. 

 

We then set up our equation: P1V1 = P2V2 (P- pressure, V - volume)

                               

(2.0 atm)(0.458 L) = (1 atm)(V2), then do algebra and get: V2 = [(2.0 atm)(0.458 L)]/(1 atm) = 0.916 L (your answer)

 

0.916 L (1000) = 916 mL = 916 cm3