Answer:
Step-by-step explanation:
To calculate the amount of heat needed to raise the temperature of the copper block, we can use the formula:
Q = m * c * ΔT
where Q is the amount of heat in joules, m is the mass of the copper block in grams, c is the specific heat capacity of copper in J/g-K, and ΔT is the change in temperature in Kelvin.
First, we need to convert the mass of the copper block from kilograms to grams:
m = 2.12 kg * 1000 g/kg = 2120 g
Next, we need to calculate the change in temperature in Kelvin:
ΔT = (88.0 °C + 273.15 K) - (25.0 °C + 273.15 K) = 336.30 K - 298.15 K = 38.15 K
Now, we can plug in the values into the formula:
Q = m * c * ΔT = 2120 g * 0.385 J/g-K * 38.15 K = 31233.98 J
Therefore, approximately 31,234 joules of heat are needed to raise the temperature of the 2.12-kg block of copper from 25.0 °C to 88.0 °C.