A sample of gas has a volume of 240. L at 4.00 atm of pressure and a temperature of 1091K. What is the volume at STP?

1 Answer
Feb 17, 2017

Answer:

#"Volume = 240.219981669L"#

Explanation:

Recall the gas law

#PV = nRT#

First we need to find moles of gas and then calculate its volume at STP

So moles of gas or n =

#n = (PV)/(RT)#

Solve the equation using formula

#n = "(4atm * 240L)"/"(0.0821L * 1091K)"#

#n = 960/89.5711"#

#n = 10.7177426648mol#

The volume of 1mol of any gas = 22.4L

Therefore volume of #10.7177426648"moles"#
#= 10.7177426648"moles" * 22.4134L = 240.219981669#

But lets still prove it

Volume of 10.7177426648moles in STP
Temperature at STP = #0^oC or 273K#
Pressure at #STP = 1atm#

#V = 10.7177426648 * 0.0821 * "273K"/"1atm"#

#V = 240.219981669/"1atm"#

#"Volume = 240.219981669L"#