Final answer:
To find out how many kilograms of nickel must be added to 2.43 kg of copper to yield a solidus temperature of 1300°C, we can use the equation m1c1ΔT1 = m2c2ΔT2 to solve for the mass of nickel.
Step-by-step explanation:
To find out how many kilograms of nickel must be added to 2.43 kg of copper to yield a solidus temperature of 1300°C, we need to consider the heat capacities and the temperature change of the two metals.
The heat lost by nickel is equal to the heat gained by copper, so we can use the equation m1c1ΔT1 = m2c2ΔT2 to solve for the mass of nickel. Let's assume the specific heat capacity of nickel is c1 and the final temperature of the mixture is 1300°C.
Using the given information, we can substitute the known values into the equation and solve for the mass of nickel:
- Let m1 = mass of nickel (in kg)
- Let c1 = specific heat capacity of nickel (in J/kg°C)
- Let ΔT1 = (1300°C - initial temperature of nickel)
- Let m2 = 2.43 kg (mass of copper)
- Let c2 = specific heat capacity of copper (in J/kg°C)
- Let ΔT2 = (1300°C - initial temperature of copper)