Answer to Question #106542 in Chemistry for marcos

Question

A sample of copper absorbs 4,000 Joules of heat energy, and it undergoes a temperature change from 98℃ to 199℃. What is the mass of the copper sample? (the specific heat of copper is 0.385 J/g ℃)

Answer 1

amount of heat = q = 4000 J;

T₁ = 98℃;

T₂ = 199℃;

change in temperature = ΔT = T₂ - T₁ = 199℃ - 98℃ = 101℃;

specific heat of Cu = c = 0.385 J/g ℃.

Solution:

The relationship between specific heat capacity (c), energy in joules (q), mass in grams (m) and temperature change (ΔT) express as a mathematical equation:

q = m × c × ΔT

Then,

m(Cu) = q / (c × ΔT) = (4000 J) / (0.385 J/g ℃ * 101℃) = (4000 J) / (38.885 J/g) = 102.867 g

m(Cu) = 102.867 g.

Answer: 102.867 grams is the mass of the copper sample.