Relate how the amount of heat released or absorbed is related to specific heat capacity and amount of it?

To relate the amount of heat (Q) released or absorbed to the specific heat capacity (c) and the mass or quantity of the substance (m), we use the formula:

\[ Q = mc\Delta T \]

Where:
- \( Q \) = amount of heat absorbed or released (in joules)
- \( m \) = mass of the substance (in kilograms)
- \( c \) = specific heat capacity (in joules per kilogram per degree Celsius)
- \( \Delta T \) = change in temperature (in degrees Celsius)

From this equation, we can make the following observations:

1. **Doubling the Quantity (m):** If the mass of the substance is doubled (2m) while keeping the specific heat capacity and temperature change constant, the amount of heat absorbed or released (Q) will also be doubled. This is because Q is directly proportional to m.

2. **Half the Specific Heat Capacity:** If we choose a different substance with half the specific heat capacity (c/2) while keeping the quantity (m) and temperature change the same, the amount of heat absorbed or released (Q) will be cut in half. This is due to Q being directly proportional to c.

Based on these principles, the correct option is **C:**

**"Amount of heat absorbed or released is doubled if quantity is doubled. If a different substance with half the specific heat capacity is used, the amount of heat absorbed or released is cut in half."**

This response correctly captures the relationships defined by the equation for heat transfer, accurately reflecting how both quantity and specific heat capacity affect the heat change.