# How would you solve for n in PV=nRT?

Jun 18, 2018

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

#### Explanation:

Given $P V = n R T$

(and assuming neither $R$ nor $T$ are zero)
$\Rightarrow \textcolor{b l u e}{\frac{P V}{R T}} = \frac{n R T}{R T} = \textcolor{b l u e}{n}$

Jun 18, 2018

Well, rearrange the formula...

#### Explanation:

$P V = n R T$...when we manipulate the equation we perform the same operation ON BOTH sides of the equation...so divide each side thru by $R T$...and thus...

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

So $n = \frac{P V}{R T}$...Happy?