What is the required resistance of an immersion heater that...

What is the required resistance of an immersion heater that increases the temperature of $1.50 \mathrm{kg}$ of water from $10.0^{\circ} \mathrm{C}$ to $50.0^{\circ} \mathrm{C}$ in 10.0 min while operating at $110 \mathrm{V} ?$

Key Concepts

Resistance Calculation in Electrical Circuits

This key concept involves rearranging the formula for power in a resistive circuit, P = V²/R, to solve for the resistance R needed to achieve a desired power output. It is critical in determining the specifications for electrical components in devices such as immersion heaters.

Power and Energy Relationship

Power is defined as the rate at which energy is transferred or converted, typically expressed as P = Q/t, where Q is the energy and t is the time interval. Understanding this relation allows one to determine how much power is required to deliver a specific amount of energy in a given period.

Ohm's Law and Resistive Heating

Ohm's Law relates voltage, current, and resistance in electrical circuits. In the context of resistive heating, the formula P = V²/R is used to connect the electrical power dissipated by a heater with the applied voltage and the resistance. This relation is essential for designing electrical heaters to meet specific power requirements.

Specific Heat Capacity

This concept refers to the amount of energy required to raise the temperature of a unit mass of a substance by one degree Celsius. It is crucial for calculating the energy needed to heat a substance, using the relation Q = m × c × ?T, where m is mass, c is the specific heat capacity, and ?T is the change in temperature.

Energy Calculation in Thermal Processes

This involves determining the total energy required to achieve a certain temperature change in a substance. By using the formula Q = m × c × ?T, one can compute the energy needed for heating, which is a key step in linking thermal energy to electrical energy in heater applications.

Transcript

Please give Ace some feedback