The temperature of 15.71 grams of gold rises from 32°C to 1,064°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 gained a total of joules of energy.

Respuesta :

Answer:Total energy gained by 15.71 g is 3090.6471 joules

Explanation:

Given:

Q = heat gained by the 15.71 gram mass of gold

[tex]Q=mc\Delta T +m\Delta H_{fusion}[/tex]

[tex]\Delta T=(T_{final}-T_{initial})=(1064^oC-32^oC)=1032^oC[/tex]

c = specific heat capacity of gold = 0.1291[tex]joules/gram^oC[/tex]

m = mass of gold =15.71 g

[tex]Q=15.71 g\times 0.1291 joules/gram^oC (1032^oC) +15.71 g\times 63.5 Joules/gram[/tex]

Heat gained by gold = [tex] 2093.0621 Joules + 997.585 Joules[/tex]

=3090.6471 joules

Answer:

3090

Explanation:

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