A 250 g mass of material has a temperature of –45˚C. Its specific heat is 0.36 J/gˑ˚C. How much heat energy is required to raise its temperature to 10˚C? (its melting point is 23 ˚C)
Since the melting point is above the final T you need not worry about a phase change.
q = mass x specific heat x (Tfinal-Tinitial).
To calculate the amount of heat energy required to raise the temperature of a substance, you can use the formula:
Q = mcΔT
Where:
Q is the heat energy
m is the mass of the substance
c is the specific heat capacity of the substance
ΔT is the change in temperature
In this case:
m = 250 g
c = 0.36 J/gˑ˚C
ΔT = final temperature - initial temperature
First, calculate ΔT:
ΔT = 10˚C - (-45˚C) = 10˚C + 45˚C = 55˚C
Now, substitute the values into the formula:
Q = (250 g) × (0.36 J/gˑ˚C) × (55˚C)
To find Q, multiply the values together:
Q = 4,620 J
Therefore, it would require 4,620 J of heat energy to raise the temperature of the 250 g mass to 10˚C.