Respuesta :
The temperature of the system in equilibrium is 25.51⁰ C.
The equilibrium temperature of the system depends on the heat released from both gold and water. The total heat received by the system will equal to total heat released by objects. It should follow
Q released = Q received
The heat can be defined by
Q = m . c . ΔT
where Q is heat, m is mass, c is the specific heat constant and ΔT is the change in temperature.
The given parameters are
m = 200 g = 0.2 kg
T1 = 24.5⁰ C
c = 4200 J/kg⁰ C
Q received = 850 J
Lets assume that the value of equilibrium temperature is T. Hence,
Q released = Q received
m . c . ΔT = 850
0.2 . 4200 . ΔT = 850
ΔT = 1.01
T - T1 = 1.01
T - 24.5 = 1.01
T = 25.51⁰ C
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