Question

How much heat must be applied to a 40.2-g sample of gold (s = 0.129 j/(g ∙ °c)) in order to raise its temperature from 28.2°c to 351.5°c?

a) 1.82 × 103 j
b) 1.68 × 103 j
c) 1.46 × 102 j
d) 1.3 × 104 j
e) 4.17 × 101 j

Answer 1

To find the heat required to raise the temperature of a 40.2-g sample of gold from 28.2°C to 351.5°C, use the formula q = mcΔT, resulting in 1.68 × 10^3 J.

Step-by-step explanation:

To determine how much heat must be applied to a 40.2-g sample of gold to raise its temperature from 28.2°C to 351.5°C, we can use the specific heat formula: q = mcΔT, where q is heat energy, m is mass, c is specific heat, and ΔT is the change in temperature. In this case: Mass (m) = 40.2 g, Specific heat (c) = 0.129 J/(g °C), Temperature change (ΔT) = 351.5°C - 28.2°C = 323.3°C. Plugging these values into the formula yields: q = (40.2 g) * (0.129 J/g°C) * (323.3°C) = 1.68 × 103 J. Hence, the correct answer is option b) 1.68 × 103 J.