Question

Determine the final temperature of a gold nugget (mass = 376 g) that starts at 398 K and loses 4.85 kJ of heat to a snowbank when it is lost. The specific heat capacity of gold is 0.128 J/g°C.

Answer 1

Answer: Final temperature of a gold nugget will be 297 K

Step-by-step explanation:

The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.

`q=m* c* (T_(final)-T_(initial))`

q = heat released = -4.85 kJ = -4850 J

m = mass of metal = 376 g

`T_(final)` = final temperature of metal = ?

`T_(initial)` = initial temperature of metal = 398 K

c = specific heat of metal =

`-4850=376* 0.128* (T_(final)-398)`

`(T_(final)-398)=-101`

`(T_(final)=297K`

Thus the final temperature of a gold nugget will be 297 K