Express your answer to three significant figures.
A goldsmith melts 12.4 grams of gold to make a ring. The temperature of the gold rises from 26°C to 1064°C, and then the gold melts completely. If gold’s specific heat is 0.1291 joules/gram degree Celsius and its heat of fusion is 63.5 joules/gram, how much energy is gained by the gold?
The gold gains a total ofjoules of energy?

I need the correct answer.

Mass =12.4g

∆T= 1064-26

=1038°C

H=mc∆T + mlf

where c =Specific heat of substance

lf= Latent heat of Fusion

m=Mass

∆T=Temp. change

Substituting

H= 12.4(0.1291)(1038) + 12.4(63.5)

H= 1661.67 + 787.40

H=2449.07J

IT GAINED A TOTAL OF 2449.07~2500JOULES OF ENERGY

graph #4 (last graph) depict the function   f(x)= -m(x-d)^1/5 i

step-by-step explanation:

we know that

m=slope

but in this function slope is -m that means slope is decreasing and it is decreasing by 1/5 points down the x-axis.

which is shown in graph four

a decreasing slope down x-axis by 1/5 points.

hence 4th graph is the right option for this.