A 12.0 L gas cylinder has been filled with 5.40 moles of gas. You measure the pressure to be 3.10 atm What is the temperature inside the tank?

1 Answer
Aug 18, 2016

Answer:

The temperature inside the tank is #83.9 K#

Explanation:

Since we are given the number of moles, pressure, and volume of gas, we have to use the ideal gas law equation to determine the temperature.

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  • P can have units of atm, depending on the units of the universal gas constant
  • V must have units of liters
  • n should have units of moles
  • R has a value of 0.0821 with units of #(Lxxatm)/ (molxxK)#
  • T has units of Kelvins.

Next, list your known and unknown variables:

#color(indigo)("Knowns:")#
#R#
#V#
#n#
#P#

#color(orange)("Unknowns:")#
#T#

Rearrange the ideal gas law to solve for T:

#T=(PV)/(nR)#

#T= (3.10cancel"atm"xx12.0cancel"L")/(0.0821cancel"L"xx(cancel"atm")/(cancel"mol"xxK)xx(5.40 cancel"mol")#

#T = 83.9 K#