type the correct answer in the box. express your answer to three significant figures.\na goldsmith melts…

type the correct answer in the box. express your answer to three significant figures.\na 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 golds 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?\nthe gold gains a total of \njoules of energy.

type the correct answer in the box. express your answer to three significant figures.\na 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 golds 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?\nthe gold gains a total of \njoules of energy.

Answer

Explanation:

Step1: Calcular calor sensible

Usamos la fórmula $Q_1 = mc\Delta T$, donde $m = 12.4$ g, $c=0.1291$ J/g°C y $\Delta T=(1064 - 26)$°C. $Q_1=12.4\times0.1291\times(1064 - 26)$ $Q_1=12.4\times0.1291\times1038$ $Q_1 = 12.4\times133.9058$ $Q_1=1660.43192$ J

Step2: Calcular calor latente

Usamos la fórmula $Q_2 = mL_f$, donde $m = 12.4$ g y $L_f = 63.5$ J/g. $Q_2=12.4\times63.5$ $Q_2 = 787.4$ J

Step3: Calcular energía total

Sumamos $Q_1$ y $Q_2$. $Q_{total}=Q_1 + Q_2$ $Q_{total}=1660.43192+787.4$ $Q_{total}=2447.83192$ J Redondeamos a tres cifras significativas: $Q_{total}\approx2450$ J

Answer:

2450