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Using the formula [tex]Q = mc\Delta t[/tex], calculate the heat energy required to increase the temperature of a 1 kg block of aluminum by 75°C.

A. 67,7250
B. 67.728
C. 65.7253
D. 66.7253

Answer :

Final answer:

The heat energy required to increase the temperature of a 1kg aluminum block by 75°C is 67.5 kJ.

Explanation:

To calculate the heat energy required, we can use the formula Q = mcΔt, where Q is the heat energy, m is the mass of the aluminum block, c is the specific heat of aluminum, and Δt is the change in temperature.

Given that the mass of the aluminum block is 1kg, the specific heat of aluminum is 900 J/kg°C, and the change in temperature is 75°C, we can substitute these values into the formula:

Q = (1kg)(900 J/kg°C)(75°C) = 67,500 J = 67.5 kJ

Therefore, the correct answer is 67.5 kJ.

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