Question

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.

Answer 1

Answer:Total energy gained by 15.71 g is 3090.6471 joules

Step-by-step explanation:

Given:

Q = heat gained by the 15.71 gram mass of gold

`Q=mc\Delta T +m\Delta H_(fusion)`

`\Delta T=(T_(final)-T_(initial))=(1064^oC-32^oC)=1032^oC`

c = specific heat capacity of gold = 0.1291
`joules/gram^oC`

m = mass of gold =15.71 g

`Q=15.71 g* 0.1291 joules/gram^oC (1032^oC) +15.71 g* 63.5 Joules/gram`

Heat gained by gold =
`2093.0621 Joules + 997.585 Joules`

=3090.6471 joules