You wish to heat 0.250 kg of water to make a hot cup of...

You wish to heat $0.250$ kg of water to make a hot cup of coffee. If the water starts at $20.0^{\circ} \mathrm{C}$ and you want your coffee to be $95.0^{\circ} \mathrm{C}$, calculate the minimum amount of heat required.

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Key Concepts

Calorimetry Equation

This is the equation Q = m × c × ?T used in thermodynamics to calculate the amount of heat (Q) needed to change the temperature of a substance. It relates the mass (m), specific heat capacity (c), and temperature change (?T) to the energy required.

Mass

Mass is the measure of the quantity of matter in a substance and plays a crucial role in heat transfer calculations. The greater the mass, the more energy is needed to achieve the same temperature change.

Temperature Change

This is the difference between the final and initial temperatures of a substance. It directly affects the amount of energy needed to heat or cool the substance, as larger temperature changes require more energy.

Specific Heat Capacity

This is a material property that defines the amount of heat required to raise the temperature of one unit mass of a substance by one degree Celsius. It is central to determining heat transfer when a substance is heated or cooled.

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