A certain storm cloud has a potential difference of 1.00...

A certain storm cloud has a potential difference of $1.00 \times 10^{8} \mathrm{~V}$ relative to a tree. If, during a lightning storm, $50.0$ C of charge is transferred through this potential difference and $1.00 \%$ of the energy is absorbed by the tree, how much water (sap in the tree) initially at $30.0^{\circ} \mathrm{C}$ can be boiled away? Water has a specific heat of $4186 \mathrm{~J} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}$, a boiling point of $100^{\circ} \mathrm{C}$, and a heat of vaporization of $2.26 \times 10^{6} \mathrm{~J} / \mathrm{kg}$.

Key Concepts

Latent Heat of Vaporization

Latent heat of vaporization is the amount of heat required to convert a unit mass of a liquid into a vapor at its boiling point without changing its temperature. This concept is essential when analyzing phase changes, as it quantifies the thermal energy necessary to overcome the molecular bonds during the transition from liquid to gas.

Electric Potential Energy

This concept describes how a charged particle gains or loses energy when it moves between regions with different electric potentials. In general, the work done on a charge by an electric field is given by the product of the charge and the potential difference, which serves as the basis for converting electrical energy into other forms of energy.

Energy Transfer Efficiency

This idea addresses that not all energy produced or available in a system is converted perfectly into the desired form. When converting one type of energy to another, only a fraction of the energy may be transferred or utilized, while the remaining portion is lost to the surroundings or stored in other forms. Calculations involving efficiency help determine the effective energy available for subsequent processes.

Specific Heat Capacity

Specific heat capacity is a measure of the amount of energy required to raise the temperature of a unit mass of a substance by one degree Celsius. It is a key parameter in calculating the energy needed to heat a substance, which is important in thermodynamic processes where temperature changes occur before phase transitions.

Transcript

Please give Ace some feedback