Answer:
Final temperature = 489.17°C
Step-by-step explanation:
Given - A 4.70 g nugget of pure gold absorbed 279 J of heat. The initial temperature was 29.0°C.
To find - What was the final temperature ?
Proof -
Given that,
q = 279 J
m = 4.70 g
We know that, C = 0.129 J
Also,
We know the specific heat equation that,
q = m(ΔT)C
⇒ΔT = q ÷ mc
= 279 ÷ (4.70)(0.129)
= 279 ÷ 0.6063
= 460.17°C
⇒ΔT = 460.17°C
Now,
We know that,
Change in Temperature is the difference of final and initial Temperature
So,
ΔT = Final temp. - Initial Temp.
⇒460.17°C = Final Temp. - 29.0°C
⇒Final temperature = 460.17°C + 29.0°C
= 489.17°C
⇒Final temperature = 489.17°C