Review problem. The heating element of a coffee maker operates at 120 V and carrics a current of

step 1 Here to calculate the time period we are going to compare the two energy equations that we know

Review problem. The heating element of a coffee maker...

Review problem. The heating element of a coffee maker operates at $120 \mathrm{V}$ and carrics a current of $2.00 \mathrm{A}$ Assuming that the water absorbs all of the energy delivered to the resistor, calculate how long it takes to raise the temperature of $0.500 \mathrm{kg}$ of water from room temperature $\left(23.0^{\circ} \mathrm{C}\right)$ to the boiling point.

Key Concepts

Energy Transfer Calculation

Energy transfer calculation in the context of heating involves using the energy required to raise a substance's temperature, given by the product of mass, specific heat capacity, and the change in temperature. This concept links the electrical energy delivered (via electric power) to the thermal energy absorbed by the substance, allowing for the determination of the required heating time.

Electric Power

Electric power is the rate at which electrical energy is converted to another form, usually thermal in heating applications. It is calculated using the product of voltage and current, which defines how much energy per unit time is delivered by an electrical circuit or device.

Joule Heating

Joule heating is the process by which the energy from an electric current is converted into heat as it passes through a resistive element. This concept explains why resistors and heating elements warm up when electricity is applied, as the electrical energy is transformed into thermal energy through collisions of charged particles.

Specific Heat Capacity

Specific heat capacity is a property of a substance that defines the amount of energy required to change its temperature by one degree per unit mass. In thermodynamics, this concept is essential in calculating the energy needed to raise the temperature of a material, such as water, and governs how substances absorb heat.

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