Solve C_{p}=(DeltaQ/DeltaT)_{p}=(DeltaU/DeltaT)_{p}+P(DeltaV/DeltaT)_{p}

$$C _ { p } = ( \frac { \Delta Q } { \Delta T } ) _ { p } = ( \frac { \Delta U } { \Delta T } ) _ { p } + P ( \frac { \Delta V } { \Delta T } ) _ { p }$$

Solve for Q

$$Q=C_{p}T$$

$$\Delta \neq 0\text{ and }T\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by T\Delta .

$$C_{p}T\Delta =\Delta Q$$

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

$$\Delta Q=C_{p}T\Delta$$

Divide both sides by \Delta .

$$\frac{\Delta Q}{\Delta }=\frac{C_{p}T\Delta }{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$Q=\frac{C_{p}T\Delta }{\Delta }$$

Divide C_{p}T\Delta by \Delta .

$$Q=C_{p}T$$

Solve for C_p

$$C_{p}=\frac{Q}{T}$$

$$\Delta \neq 0\text{ and }T\neq 0$$