Solve for R PV=nRT ; solve for R

$P V = n R T$ ; solve for $R$

Step 1

Rewrite the equation as $n R T = P V$ .

$n R T = P V$

Step 2

Divide each term in $n R T = P V$ by $n T$ and simplify.

Divide each term in $n R T = P V$ by $n T$ .

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

Simplify the left side.

Cancel the common factor of $n$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $T$ .

Cancel the common factor.

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

Divide $R$ by $1$ .

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