Answer :
Answer:
36°C is your answer
Explanation:
use the molar mass to find moles:
(10.00g Au)(1 mole Au/197 grams)= 0.05076 moles of gold
dH= n C dT
14.0 J = (.05076 moles) (25.41 J/mol* degree C) (dT)
dT=10.85 celsius rise in temp
if initially at 25 degrees celsius, a 10.85 celsius rise in temp will bring it to 35.85.
so round that answer and you should get 36 degrees as your answer
(hope this helped :) )
Considering the definition of calorimetry, the final temperature of the gold is 35.85 °C.
Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
In other words, calorimetry is responsible for measuring the amount of heat generated or lost in certain physical or chemical processes.
The amount of heat that a body receives or transmits is determined by the following expression:
Q = c×m×ΔT
where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation.
In this case, you know:
- Q= 14 J
- c= 25.41 [tex]\frac{J}{molC}[/tex]
- m= 10 g×[tex]\frac{1 mol}{197 grams}[/tex]= 0.05076 moles (where 197 [tex]\frac{grams}{mol}[/tex] is the molar mass of gold)
- ΔT= Tfinal - Tinitial= Tfinal - 25 C
Then:
14 J= 25.41 [tex]\frac{J}{molC}[/tex]× 0.05076 moles× (Tfinal - 25 C)
Solving:
[tex]\frac{14 J}{ 25.41 \frac{J}{molC}x 0.05076 moles} =Tfinal - 25 C[/tex]
[tex]Tfinal=\frac{14 J}{ 25.41 \frac{J}{molC}x 0.05076 moles} + 25 C[/tex]
Tfinal= 35.85 °C
Finally, the final temperature of the gold is 35.85 °C.
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