A sample of copper absorbs 43.6 kJ of heat, resulting in a temperature rise of 75.0 °C. Determine the mass (in kg) of the copper sample if the specific heat capacity of copper is 0.385 J g^-1°C^-1.

Question

Quizplus · Accepted Answer

Explanation:The mass of the copper sample can be calculated using the formula:$$Q = mcΔt$$where:Q is the heat absorbed (in joules)m is the mass of the sample (in grams)c is the specific heat capacity of the sample (in J g^-1 °C^-1)Δt is the change in temperature (in °C)Substituting the given values into the formula, we get:$$43.6 kJ = m × 0.385 J g^-1 °C^-1 × 75.0 °C$$Converting kJ to J:$$43.6 × 10^3 J = m × 0.385 J g^-1 °C^-1 × 75.0 °C$$Solving for m, we get:$$m = \frac{43.6 × 10^3 J}{0.385 J g^-1 °C^-1 × 75.0 °C} = 1510 g$$Converting g to kg:$$m = 1510 g × \frac{1 kg}{1000 g} = 1.51 kg$$Therefore, the mass of the copper sample is 1.51 kg.

A Sample of Copper Absorbs 43