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

Explanation:

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

$q=m\times c\times (T_{final}-T_{initial})$

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 =

$-4850=376\times 0.128\times (T_{final}-398)$

 $(T_{final}-398)=-101$

 $(T_{final}=297K$

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