Question

a sample of an unknown substance has a mass of \\(0.465\text{ kg}\\). if \\(3,000.0\text{ j}\\) of heat is required to heat the substance from \\(50.0^\circ\text{c}\\) to \\(100.0^\circ\text{c}\\), what is the specific heat of the substance?
use \\(q = mc_p\delta t\\).

options:

• \\(0.00775\text{ j}/(\text{g}\cdot^\circ\text{c})\\)
• \\(0.0600\text{ j}/(\text{g}\cdot^\circ\text{c})\\)
• \\(0.129\text{ j}/(\text{g}\cdot^\circ\text{c})\\)
• \\(0.155\text{ j}/(\text{g}\cdot^\circ\text{c})\\)

Explanation:

Identify given values and convert units

$$
LATEXBLOCK0
$$

Solve for specific heat capacity

$$
LATEXBLOCK1
$$

Answer:

• (A) \(0.00775\text{ J}/(\text{g}\cdot^\circ\text{C})\)
• (B) \(0.0600\text{ J}/(\text{g}\cdot^\circ\text{C})\)
• (C) \(0.129\text{ J}/(\text{g}\cdot^\circ\text{C})\) (Correct answer)
• (D) \(0.155\text{ J}/(\text{g}\cdot^\circ\text{C})\)