Two immersion heaters, A and B, are both connected to a 120 V supply. Heater A can raise the tem

step 1 As we all know that Q is equal to MC del T, this is the formula and p is equal to b squared by r

Two immersion heaters, A and B, are both connected to a 120...

Two immersion heaters, $A$ and $B$, are both connected to a $120 \mathrm{V}$ supply. Heater $A$ can raise the temperature of $1.0 \mathrm{L}$ of water from $20.0^{\circ} \mathrm{C}$ to $90.0^{\circ} \mathrm{C}$ in $2.0 \mathrm{min},$ whereas heater $B$ can raise the temperature of $5.0 \mathrm{L}$ of water from $20.0^{\circ} \mathrm{C}$ to $90.0^{\circ} \mathrm{C}$ in $5.0 \mathrm{min} .$ What is the ratio of the resistance of heater $A$ to the resistance of heater $B ?$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Specific Heat Capacity

Specific heat capacity is a property of a material that indicates the amount of energy required to change the temperature of a unit mass by one degree. This concept is important in calculating the energy needed to heat a substance and links the thermal energy calculations to the change in temperature.

Joule Heating

Joule heating refers to the process by which the passage of an electric current through a resistor converts electric energy into heat. This concept is fundamental in understanding how immersion heaters work, where electrical energy is transformed into thermal energy to raise the temperature of a substance.

Electrical Power and Resistance Relationship

Electrical power in a resistor is given by the relationship P = V²/R, indicating that at a fixed voltage, the power output is inversely proportional to the resistance. This relationship is crucial when comparing devices that use the same voltage source but have different resistances, as it directly affects how much energy is delivered over time.

Transcript

Please give Ace some feedback