Question

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?

Answer 1

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.

• 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`