Sample Containers

Sample Containers
A sample of gas is in a sealed container at a temperature of 23.6 oC, a volume of 3.70 L, and a pressu?

A sample of gas is in a sealed container at a temperature of 23.6 oC, a volume of 3.70 L, and a pressure of 3.30 atm. 45.0 percent of this gas is transferred to a second container where the temperature is 30.4 oC and the volume is 2.70 L. What is the pressure, in atm, of the gas in this second container ?

work out moles of gas in original sample

PV = nRT

P = 3.30 atm
V1 = 3.70 L
n = ?
T = temp in Kelvin = 296.75 K
R = gas constant = 0.082057 L atm mol^-1 K^-1

n = PV / RT
= 3.30 atm x 3.70 L / 0.082057 x 296.75 K
= 0.5014 mol of gas

work out how many moles get put in the new container

45 % of original moles = 0.45 x 0.5014 mol
= 0.2256 moles get placd in the new container

P = ?
V = 2.70 L
T = 303.55 K
n = 0.2256 mol
R = 0.082057 L atm mol^-1 K^-1

P = nRT / V
= 0.2256 mol x 0.081057 x 303.55 K / 2.70 L
= 2.08 atm

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