which of the following shows the correct rearrangement of the the heat equation $q = mc_{p}delta t$ to solve…

which of the following shows the correct rearrangement of the the heat equation $q = mc_{p}delta t$ to solve for specific heat?\n$c_{p}=mqdelta t$\n$c_{p}=\frac{qm}{delta t}$\n$c_{p}=\frac{q}{mdelta t}$\ndone

which of the following shows the correct rearrangement of the the heat equation $q = mc_{p}delta t$ to solve for specific heat?\n$c_{p}=mqdelta t$\n$c_{p}=\frac{qm}{delta t}$\n$c_{p}=\frac{q}{mdelta t}$\ndone

Answer

Explanation:

Step1: Isolate $C_p$

Given $q = mC_p\Delta T$, divide both sides by $m\Delta T$. $\frac{q}{m\Delta T}=\frac{mC_p\Delta T}{m\Delta T}$

Step2: Simplify the right - hand side

The $m$ and $\Delta T$ terms on the right - hand side cancel out, leaving $C_p=\frac{q}{m\Delta T}$.

Answer:

$C_p=\frac{q}{m\Delta T}$ (the third option)