Which Substance Would Undergo the Largest Change in Temperature Upon the Addition of Heat?

Which substance between B and A would undergo the largest change in temperature upon the addition of 200 kJ of heat?

Given that the specific heat capacity of B and A are respectively 0.149 J/(°C·g) and 0.485 J/(°C·g).

Answer:

Substance A, with a specific heat capacity of 0.485 J/(°C·g), will undergo the largest change in temperature upon the addition of 200 kJ of heat.

Explanation:

To determine which substance would undergo the largest change in temperature upon the addition of 200 kJ of heat, we need to compare their specific heat capacities (Cp). The substance with the lower specific heat capacity will experience a larger change in temperature for a given amount of heat added.

Specific heat capacity of substance B (Cp_B) = 0.149 J/(°C·g)

Specific heat capacity of substance A (Cp_A) = 0.485 J/(°C·g)

Heat added (Q) = 200 kJ = 200,000 J

To calculate the change in temperature (ΔT), we can use the equation: ΔT = Q / (Cp * mass), where Q is the heat added, Cp is the specific heat capacity, and mass is the mass of the substance.

Since the masses of substances B and A are not provided, we can assume the masses are the same for the purpose of comparison.

By comparing the squares of the specific heat capacities, we find that Cp_A^2 > Cp_B^2. Therefore, substance A, with a specific heat capacity of 0.485 J/(°C·g), will undergo the largest change in temperature upon the addition of 200 kJ of heat.