The specific heat of solid gold is 0.13J/gC.How much heat is needed to raise the temperature of 25.0g of gold from 23C to its melting point at 1063C
To calculate the heat needed to raise the temperature of a substance, you can use the formula:
Q = m * c * ΔT
Where:
Q = heat energy (in joules)
m = mass of the substance (in grams)
c = specific heat capacity of the substance (in J/g°C)
ΔT = change in temperature (in °C)
In this case, we want to find out the amount of heat energy required to raise the temperature of 25.0g of gold from 23°C to 1063°C.
First, calculate the ΔT (change in temperature):
ΔT = final temperature - initial temperature
= 1063°C - 23°C
= 1040°C
Now, substitute the given values into the formula:
Q = 25.0g * 0.13 J/g°C * 1040°C
Simplify:
Q = 338 J (rounded to three significant figures)
Therefore, the amount of heat energy needed to raise the temperature of 25.0g of gold from 23°C to 1063°C is approximately 338 Joules.