# 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?

Aug 18, 2016

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 $\frac{L \times a t m}{m o l \times K}$
• T has units of Kelvins.

Next, list your known and unknown variables:

$\textcolor{\in \mathrm{di} g o}{\text{Knowns:}}$
$R$
$V$
$n$
$P$

$\textcolor{\mathmr{and} a n \ge}{\text{Unknowns:}}$
$T$

Rearrange the ideal gas law to solve for T:

$T = \frac{P V}{n R}$

$T = \left(3.10 \cancel{\text{atm"xx12.0cancel"L")/(0.0821cancel"L"xx(cancel"atm")/(cancel"mol"xxK)xx(5.40 cancel"mol}}\right)$

$T = 83.9 K$