# Question 1414a

Dec 20, 2016

28.4 atm

#### Explanation:

I'm going to assume that you meant to type moles instead of miles

Since we are at standard temperature and pressure and are given only one set of conditions, we can to use the ideal gas law equation:

I should mention that the pressure does not always have units of atm, it depends on the units of pressure given in the gas constant.

List your known and unknown variables.

color(red)("Knowns:"
- Number of moles
- Temperature
- Volume

color(brown)("Unknowns:"
Pressure

Let's rearrange the equation to solve for $P$:

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

P = (42.5cancel"mol"xx(0.0821cancelLxxatm)/cancel(molxxK)xx443cancelK)/(54.5cancel(L)#

$P = 28.4 a t m$