Solve pi=frac{w_{2}}{M_{2}V}RT

$$\pi = \frac { w _ { 2 } } { M _ { 2 } V } R T$$

Solve for M_2

$$M_{2}=\frac{RTw_{2}}{\pi V}$$

$$V\neq 0\text{ and }T\neq 0\text{ and }R\neq 0\text{ and }w_{2}\neq 0$$

Steps for Solving Linear Equation

Variable M_{2} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by M_{2}V.

$$\pi M_{2}V=w_{2}RT$$

Reorder the terms.

$$\pi M_{2}V=RTw_{2}$$

The equation is in standard form.

$$\pi VM_{2}=RTw_{2}$$

Divide both sides by \pi V.

$$\frac{\pi VM_{2}}{\pi V}=\frac{RTw_{2}}{\pi V}$$

Dividing by \pi V undoes the multiplication by \pi V.

$$M_{2}=\frac{RTw_{2}}{\pi V}$$

Variable M_{2} cannot be equal to 0.

$$M_{2}=\frac{RTw_{2}}{\pi V}\text{, }M_{2}\neq 0$$

Solve for R

$$R=\frac{\pi M_{2}V}{Tw_{2}}$$

$$T\neq 0\text{ and }w_{2}\neq 0\text{ and }M_{2}\neq 0\text{ and }V\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by M_{2}V.

$$\pi M_{2}V=w_{2}RT$$

Swap sides so that all variable terms are on the left hand side.

$$w_{2}RT=\pi M_{2}V$$

The equation is in standard form.

$$Tw_{2}R=\pi M_{2}V$$

Divide both sides by w_{2}T.

$$\frac{Tw_{2}R}{Tw_{2}}=\frac{\pi M_{2}V}{Tw_{2}}$$

Dividing by w_{2}T undoes the multiplication by w_{2}T.

$$R=\frac{\pi M_{2}V}{Tw_{2}}$$