If 92J of heat are added to a pure gold coin with a mass of 12g, what is its temperature change? Specific heat capacity of gold is 0.128 J/g ∘ C
92 = mass Au x specific heat Au x delta T
To calculate the temperature change of an object when heat is added or removed, we can use the formula:
Q = mcΔT
Where:
Q is the heat energy (in Joules)
m is the mass of the object (in grams)
c is the specific heat capacity of the material (in J/g °C)
ΔT is the change in temperature (in °C)
In this case, we are given:
Q = 92 J
m = 12 g
c = 0.128 J/g °C
We need to solve for ΔT.
Rearranging the formula, we have:
ΔT = Q / (mc)
Plugging in the given values, we get:
ΔT = 92 J / (12 g * 0.128 J/g °C)
Calculating this:
ΔT = 92 J / (1.536 J/°C)
ΔT ≈ 60 °C
Therefore, the temperature change of the gold coin is approximately 60 °C when 92 J of heat are added to it.