The final temperature of the system is 21.7 °C.
Temperature is the degree of hotness or coldness expressed in phrases of any of numerous scales, together with Fahrenheit and Celsius. Temperature shows the route in which warmness electricity will spontaneously go with the flow, from a warmer frame one at a higher temperature to a chillier frame one at a lower temperature.
m1 = mass of iron = 0.25 kg
T1 = initial temperature of the iron = 100 °C = 373 K (Kelvin)
c1 = specific heat of iron = 450 J / (kg K)
m2 = mass of the water = 1 kg
T2 = initial temperature of the water = 20 degrees C = 293 K
c2 = specific heat of water = 4180 J / (kg K)
T f = final temperature attained by both the iron and the water
If the system is isolated, then
m1*c1*(T f - T1) + m2*c2*(T f - T2) = 0
Solve the equation above for T final,
T final = (m1*c1*T1 + m2*c2*T2) / (m1*c1 + m2*c2)
T final = 1258310 / 4270 K = 294.7 K = 21.7 °C
Hence, the final temperature is 21.7 °C
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