Solve mp/RT=28.96*101000/288*8.314=

$$\frac { m p } { R T } = \frac { 28.96 \times 101000 } { 288 \times 8.314 } =$$

Solve for R

$$R=\frac{37413mp}{45702500T}$$

$$T\neq 0\text{ and }p\neq 0\text{ and }m\neq 0$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by RT.

$$mp=\frac{125}{299304}RT\times 28.96\times 101000$$

Multiply \frac{125}{299304} and 28.96 to get \frac{905}{74826}.

$$mp=\frac{905}{74826}RT\times 101000$$

Multiply \frac{905}{74826} and 101000 to get \frac{45702500}{37413}.

$$mp=\frac{45702500}{37413}RT$$

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

$$\frac{45702500}{37413}RT=mp$$

The equation is in standard form.

$$\frac{45702500T}{37413}R=mp$$

Divide both sides by \frac{45702500}{37413}T.

$$\frac{37413\times \frac{45702500T}{37413}R}{45702500T}=\frac{37413mp}{45702500T}$$

Dividing by \frac{45702500}{37413}T undoes the multiplication by \frac{45702500}{37413}T.

$$R=\frac{37413mp}{45702500T}$$

Variable R cannot be equal to 0.

$$R=\frac{37413mp}{45702500T}\text{, }R\neq 0$$

Solve for T

$$T=\frac{37413mp}{45702500R}$$

$$R\neq 0\text{ and }p\neq 0\text{ and }m\neq 0$$

Steps for Solving Linear Equation

Variable T cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by RT.

$$mp=\frac{125}{299304}RT\times 28.96\times 101000$$

Multiply \frac{125}{299304} and 28.96 to get \frac{905}{74826}.

$$mp=\frac{905}{74826}RT\times 101000$$

Multiply \frac{905}{74826} and 101000 to get \frac{45702500}{37413}.

$$mp=\frac{45702500}{37413}RT$$

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

$$\frac{45702500}{37413}RT=mp$$

The equation is in standard form.

$$\frac{45702500R}{37413}T=mp$$

Divide both sides by \frac{45702500}{37413}R.

$$\frac{37413\times \frac{45702500R}{37413}T}{45702500R}=\frac{37413mp}{45702500R}$$

Dividing by \frac{45702500}{37413}R undoes the multiplication by \frac{45702500}{37413}R.

$$T=\frac{37413mp}{45702500R}$$

Variable T cannot be equal to 0.

$$T=\frac{37413mp}{45702500R}\text{, }T\neq 0$$