Question

Q = mcΔT

Rearrange the following to solve for ΔT and select the correct answer from the below options.

FYI Δ (The Greek symbol delta) means change in T is Temperature. So ΔT is the change in temperature. If I were to read the full formula out loud I would say Q equals m c delta T ΔT is by far the most common use of this, but there are a couple more we'll see at the end of the year.

a) ΔT = Q / mc
b) ΔT = Q / (m * c)
c) ΔT = Q / (c * m)
d) ΔT = Q / (c * m)

Answer 1

To solve for the temperature change ΔT, the equation Q = mcΔT should be rearranged to ΔT = Q / (m * c). This shows that ΔT is calculated as the heat transfer Q divided by the product of the mass m and the specific heat c.

Step-by-step explanation:

In the equation Q = mcΔT, which expresses the relationship between heat transfer and temperature change, Q stands for the quantity of heat transferred, m is the mass of the substance, and c represents the specific heat, which is a property of the substance. The specific heat indicates how much heat is needed to change the temperature of 1.00 kg of the substance by 1.00°C. To solve for the temperature change (ΔT), we can rearrange the equation to isolate ΔT on one side. The appropriate rearranged formula is ΔT = Q / (m * c), which correctly shows that the change in temperature is equal to the quantity of heat transferred divided by the product of the mass and the specific heat.