Rearrange Q=mC?t to solve for m,c,?t

Question

Hi, I need help re arranging the equation. Thanks. 

Answer 1

Q=mCΔT

 

To solve for m:

divide both sides of the equation by CΔT

Q/CΔT = mCΔT/CΔT

The C and ΔT on the right side in the numerator and denominator cancel out, so that leaves us with 

Q/CΔT=m

 

Follow the same procedure to isolate the variable you want for C and ΔT:

For C:

Divide both sides of the equation by mΔT:

Q/mΔT = mCΔT/mΔT 

The m and ΔT in the numerator and denominator on the right cancel out, so we get:

Q/mΔT=C

 

For ΔT:

Divide both sides by mC

Q/mC = mcΔT/mC

The m and C in the numeratior and denominator on the right cancel out, so

Q/mc=ΔT