Understanding the Concepts

* Specific Heat (c): The amount of heat energy required to raise the temperature of 1 gram of a substance by 1 Kelvin (or 1 degree Celsius).

* Heat (q): The energy transferred as a result of a temperature difference.

* Mass (m): The amount of substance.

* Change in Temperature (ΔT): The difference in temperature between the initial and final states.

Formula

The relationship between these variables is given by the following equation:

q = mcΔT

Solving for Specific Heat (c)

1. Identify the knowns:

* q = 32 J (heat absorbed)

* m = 4.0 g (mass of the glass)

* ΔT = 314 K - 274 K = 40 K (change in temperature)

2. Rearrange the formula to solve for c:

c = q / (mΔT)

3. Substitute the known values:

c = 32 J / (4.0 g * 40 K)

4. Calculate the specific heat:

c = 0.2 J/(g·K)

Answer: The specific heat of the glass is 0.2 J/(g·K).