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Briefly describe each of the following ideas or methods: (a) law of conservation of energy; (b) bomb calorimetry; (c) function of state; (d) enthalpy diagram; (e) Hess's law.

Short Answer

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a) Law of conservation of energy: energy cannot be created or destroyed but only changed from one form to another. b) Bomb Calorimetry: A method where a reaction is carried out inside a sealed bomb with known volume and the heat of the reaction is determined by observing the temperature change of water surrounding the bomb. c) Function of state: A property of a system that depends only on the current state, not the path taken to get to that state. d) Enthalpy Diagram: A graph that shows energy levels of reactants and products in a chemical reaction and the energy difference represents the enthalpy change. e) Hess's law: The total enthalpy change in a reaction is the same, irrespective of the number of steps in that reaction.

Step by step solution

01

Understand the Law of Conservation of Energy

The law of conservation of energy states that energy cannot be created or destroyed but only transformed from one form to another, thus the total energy in an isolated system remains constant.
02

Understand Bomb Calorimetry

Bomb calorimetry is an experimental method in which a reaction is carried out inside a sealed container known as a bomb calorimeter. The heat of the reaction changes the temperature of the water surrounding the bomb, allowing the calculation of the heat of the reaction.
03

Understand Function of State

A function of state, or state function, is a property of a system that depends only on its current state and not on how it got to that state. Examples include pressure, temperature, volume, internal energy, enthalpy, and entropy.
04

Understand Enthalpy Diagram

An enthalpy diagram is a graphical representation showing the energy changes in a chemical process. It plots the energy levels of reactants and products and shows the difference in energy, which represents the enthalpy change.
05

Understand Hess's Law

Hess's law states that the total enthalpy change in a chemical reaction is the same, regardless of whether the reaction takes place in one step or several steps.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Law of Conservation of Energy
The law of conservation of energy is a fundamental principle in physics. It tells us that energy cannot be created or destroyed. It can, however, be transformed from one form to another. This means that the total energy in an isolated system stays the same over time. Consider a simple example: when you eat food, your body transforms the chemical energy in food into energy you use to think, move, and grow. But the amount of energy never changes.
  • Energy transformation is key in many processes, from powering machines to biological functions.
  • This principle helps scientists and engineers predict the behavior of systems over time.
Bomb Calorimetry
Bomb calorimetry is a technique used to measure the heat of chemical reactions. It is performed using a bomb calorimeter. This is a special device built to handle reactions under controlled conditions. The substance to be tested is ignited in a sealed vessel, or "bomb", surrounded by water. The heat from the reaction causes the water's temperature to rise. By measuring this temperature change, one can determine the heat of the reaction.
  • Bomb calorimetry is particularly useful for combustion reactions.
  • The method provides precise measurements of heat changes.
State Function
A state function is a property that depends only on the state of a system. It doesn't matter how the system got there. Common examples include pressure, temperature, volume, and enthalpy. For instance, if you have a gas in a closed container, its pressure is a state function. It depends solely on the current conditions of the gas, not on its history.
  • State functions are crucial for understanding thermodynamic processes.
  • They help simplify calculations because intermediate steps don't affect the final value.
Enthalpy Diagram
An enthalpy diagram visually represents the energy changes during a chemical reaction. It shows the relative enthalpy levels of reactants and products. Such a diagram helps highlight the enthalpy change, denoted as \( \Delta H \). It's essential for understanding exothermic and endothermic reactions. When the products have lower enthalpy than the reactants, the reaction releases energy, and it's exothermic. Conversely, if the products have higher enthalpy, the reaction absorbs energy, being endothermic.
  • Enthalpy diagrams are useful tools for visualizing energy changes systematically.
  • They provide a clear picture of energy absorbed or released in reactions.
Hess's Law
Hess's law is a powerful tool in thermochemistry. It states that the total enthalpy change during a chemical reaction is the same, no matter how many steps the reaction takes. This means you can break down complex reactions into simpler ones. Calculate the enthalpy changes for each step, and add them together to find the total enthalpy change.
  • Hess's law allows the calculation of enthalpy changes that are difficult to measure directly.
  • It's a clear demonstration of the law of conservation of energy.

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Most popular questions from this chapter

A calorimeter that measures an exothermic heat of reaction by the quantity of ice that can be melted is called an ice calorimeter. Now consider that \(0.100 \mathrm{L}\) of methane gas, \(\mathrm{CH}_{4}(\mathrm{g}),\) at \(25.0^{\circ} \mathrm{C}\) and \(744 \mathrm{mm} \mathrm{Hg}\) is burned at constant pressure in air. The heat liberated is captured and used to melt \(9.53 \mathrm{g}\) ice at \(0^{\circ} \mathrm{C}\left(\Delta H_{\text {fusion }} \text { of ice }=6.01 \mathrm{kJ} / \mathrm{mol}\right)\) (a) Write an equation for the complete combustion of \(\mathrm{CH}_{4},\) and show that combustion is incomplete in this case. (b) Assume that \(\mathrm{CO}(\mathrm{g})\) is produced in the incomplete combustion of \(\mathrm{CH}_{4}\), and represent the combustion as best you can through a single equation with small whole numbers as coefficients. \((\mathrm{H}_{2} \mathrm{O}(\mathrm{l})\) is another . product of the combustion.)

You are planning a lecture demonstration to illustrate an endothermic process. You want to lower the temperature of \(1400 \mathrm{mL}\) water in an insulated container from 25 to \(10^{\circ} \mathrm{C} .\) Approximately what mass of \(\mathrm{NH}_{4} \mathrm{Cl}(\mathrm{s})\) should you dissolve in the water to achieve this result? The heat of solution of \(\mathrm{NH}_{4} \mathrm{Cl}\) is \(+14.7 \mathrm{kJ} / \mathrm{mol} \mathrm{NH}_{4} \mathrm{Cl}\).

A 75.0 g piece of \(\mathrm{Ag}\) metal is heated to \(80.0^{\circ} \mathrm{C}\) and dropped into \(50.0 \mathrm{g}\) of water at \(23.2^{\circ} \mathrm{C} .\) The final temperature of the \(\mathrm{Ag}-\mathrm{H}_{2} \mathrm{O}\) mixture is \(27.6^{\circ} \mathrm{C}\). What is the specific heat of silver?

Thermite mixtures are used for certain types of welding, and the thermite reaction is highly exothermic. $$\begin{array}{r} \mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{s})+2 \mathrm{Al}(\mathrm{s}) \longrightarrow \mathrm{Al}_{2} \mathrm{O}_{3}(\mathrm{s})+2 \mathrm{Fe}(\mathrm{s}) \\ \Delta H^{\circ}=-852 \mathrm{kJ} \end{array}$$ \(1.00 \mathrm{mol}\) of granular \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) and \(2.00 \mathrm{mol}\) of granular Al are mixed at room temperature \(\left(25^{\circ} \mathrm{C}\right),\) and a reaction is initiated. The liberated heat is retained within the products, whose combined specific heat over a broad temperature range is about \(0.8 \mathrm{Jg}^{-1}\) \(^{\circ} \mathrm{C}^{-1} .\) (The melting point of iron is \(1530^{\circ} \mathrm{C} .\) ) Show that the quantity of heat liberated is more than sufficient to raise the temperature of the products to the melting point of iron.

Compressed air in aerosol cans is used to free electronic equipment of dust. Does the air do any work as it escapes from the can?

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