The specific heat capacity of solid copper metal is 0.385 J/g ∙ K.How many joules of heat are needed to raise the temperature of a 1.55-kg block of copper from 33.0°C to 77.5°C?

Question

Quizplus · Accepted Answer

We will use the formula Q = mCΔT, where Q is the heat required, m is the mass of the copper block, C is the specific heat capacity, and ΔT is the change in temperature.

Substituting the given values, we get: 
Q = (1.55 kg) (0.385 J/g ∙ K) (77.5°C - 33.0°C)
Q = 2.66 × 10^4 J or 26.6 kJ

However, we need to convert kilograms to grams to use the specific heat capacity given in J/g ∙ K. 
1.55 kg = 1550 g

Substituting the value, we get: 
Q = (1550 g) (0.385 J/g ∙ K) (77.5°C - 33.0°C)
Q = 2.66 × 10^4 J or 26.6 kJ

Therefore, the answer is (C) 2.66 × 10^4 J.

The Specific Heat Capacity of Solid Copper Metal Is 0