Solve for V₂ P_1V_1=P_2V_2

$P_{1} V_{1} = P_{2} V_{2}$

Step 1

Rewrite the equation as $P_{2} V_{2} = P_{1} V_{1}$ .

$P_{2} V_{2} = P_{1} V_{1}$

Step 2

Divide each term in $P_{2} V_{2} = P_{1} V_{1}$ by $P_{2}$ and simplify.

Divide each term in $P_{2} V_{2} = P_{1} V_{1}$ by $P_{2}$ .

$\frac{P_{2} V_{2}}{P_{2}} = \frac{P_{1} V_{1}}{P_{2}}$

Simplify the left side.

Cancel the common factor of $P_{2}$ .

Cancel the common factor.

$\frac{P_{2} V_{2}}{P_{2}} = \frac{P_{1} V_{1}}{P_{2}}$

Divide $V_{2}$ by $1$ .

$V_{2} = \frac{P_{1} V_{1}}{P_{2}}$