Final answer:
The heat given up by the iron as it cools from 158°C to 62°C, with a mass of 15.0g and specific heat capacity of 0.449 J/(g°C), is calculated to be 644.52 J.
Step-by-step explanation:
The subject of this question is dealing with the concept of specific heat capacity in Physics. The specific heat capacity is an intensive property of matter that tells us how much heat is needed to increase the temperature of 1g of the substance by 1 degree Celsius.
Given the mass of the iron is 15.0 g, the temperature change is 158°C - 62°C = 96°C and the specific heat of iron is 0.449 J/(g°C), you can calculate the heat given up using the formula Q = mcΔT where Q is the heat, m is the mass, c is the specific heat and ΔT is the change in temperature.
By substituting the given values into the formula, the heat given up is Q = (15.0 g) * (0.449 J/g°C) * (96°C) = 644.52 J
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