Chemical Kinetics and Conversions Quiz

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Questions and Answers

What is the equation for concentration over time in a zero-order reaction?

  • C = kt + C0
  • C = C0 - kt (correct)
  • C = kC0 - t
  • C = C0 + kt

What characterizes first-order decay rates?

  • The rate of decay happens at a constant rate regardless of concentration.
  • The rate of decay is independent of concentration.
  • The rate of decay is directly proportional to the concentration present. (correct)
  • The rate of decay is proportional to the square of concentration.

What is the conversion factor for converting meters to feet?

  • 1.8
  • 10.7639
  • 3.2808 (correct)
  • 0.06243

Which prefix corresponds to the factor of $10^{-6}$?

<p>micro (A)</p> Signup and view all the answers

In the differential equation form dC/dt = -k, what does 'k' represent?

<p>The reaction rate constant. (A)</p> Signup and view all the answers

In SI units, what is the mass of 1 kilogram expressed in pounds?

<p>2.2046 lb (C)</p> Signup and view all the answers

For a reaction undergoing generation, which order is most commonly encountered?

<p>Zero-order (C)</p> Signup and view all the answers

What is the volume conversion factor from cubic meters to cubic feet?

<p>35.3147 (B)</p> Signup and view all the answers

What happens to the concentration of a substance in a zero-order reaction over time?

<p>Decreases linearly (D)</p> Signup and view all the answers

Which of the following temperatures convert to degrees Fahrenheit using the equation $1.8(°C) + 32$?

<p>100 °C (D)</p> Signup and view all the answers

Which statement accurately describes the first-order reaction rate of radioactive decay?

<p>Decay rate decreases as the concentration decreases. (D)</p> Signup and view all the answers

What is the equivalent density in pounds per cubic foot for 1 kg/m³?

<p>0.06243 lb/ft³ (D)</p> Signup and view all the answers

In which form is the equation for first-order generation expressed?

<p>r(C) = kC (B)</p> Signup and view all the answers

Which of the following best describes zero-order kinetics in relation to pollutants?

<p>The reaction rate is constant regardless of pollutant concentration. (A)</p> Signup and view all the answers

Which volume unit is equivalent to 1 cubic meter in square feet?

<p>35.3147 ft³ (D)</p> Signup and view all the answers

What is the prefix that represents $10^{-9}$?

<p>nano (B)</p> Signup and view all the answers

What is the process called when heat added to a substance causes a change in temperature?

<p>Sensible heating (C)</p> Signup and view all the answers

What is the formula to account for the latent heat stored in a substance during a phase change?

<p>Energy = m L (A)</p> Signup and view all the answers

How much energy is required to change the temperature of 1 kg of ice by 1°C?

<p>2.1 kJ (C)</p> Signup and view all the answers

What is the latent heat of vaporization for water at 100°C?

<p>2,257 kJ (D)</p> Signup and view all the answers

What is the latent heat of fusion for water?

<p>333 kJ (D)</p> Signup and view all the answers

Which temperature corresponds to the heat of vaporization listed in the content?

<p>100°C (A)</p> Signup and view all the answers

How much energy is needed to completely melt 1 kg of ice?

<p>333 kJ (C)</p> Signup and view all the answers

What specific heat is needed to raise the temperature of water?

<p>4.18 kJ/°C (A)</p> Signup and view all the answers

What is the mass concentration of fluoride in water, given the calculation?

<p>1.01 mg/L (C)</p> Signup and view all the answers

Using the formula $C = \frac{m}{V}$, what do 'm' and 'V' represent?

<p>Mass of the substance and volume of the fluid (B)</p> Signup and view all the answers

How much water can be treated with the bag containing fluoride?

<p>2.97 * 10^6 gallons (C)</p> Signup and view all the answers

What is the significance of the 'v' in ppmv?

<p>It indicates the measurement is in volume only. (D)</p> Signup and view all the answers

What is the steady-state concentration found using the provided equation?

<p>0.117 mg/m3 (C)</p> Signup and view all the answers

Which of the following factors affects the relationship between ppmv and mg/m3?

<p>The molecular weight of the pollutant (D)</p> Signup and view all the answers

What will be the concentration of the pollutant in the lake one week after diverting the sewage outfall?

<p>0.67 mg/L (A)</p> Signup and view all the answers

What does the ideal gas law equation, $PV = nRT$, primarily help to establish?

<p>The relationship between mass and volume of a gas (A)</p> Signup and view all the answers

What is the method used for expressing pollutant concentrations in air pollution work?

<p>Parts per million by volume (A)</p> Signup and view all the answers

What reaction-rate constant is assumed for the pollutants in the lake after the outfall diversion?

<p>0.20/day (A)</p> Signup and view all the answers

What is the molar mass of fluoride used in the calculations?

<p>19.0 g/mol (C)</p> Signup and view all the answers

How is the pollutant concentration calculated at a specific time after the outfall stops draining?

<p>C(t) = Cq * (1 - exp(-kd * t)) (A)</p> Signup and view all the answers

Which parameter is NOT included when calculating the steady-state concentration?

<p>Outflow rate (Qs) (D)</p> Signup and view all the answers

What is the effect of completely diverting the sewage outfall from the lake?

<p>Sudden decrease in pollution concentration (A)</p> Signup and view all the answers

What is the volume of the lake analyzed in Example 9?

<p>10,000,000 m3 (C)</p> Signup and view all the answers

What is the value of $t$ used for calculating the concentration at 6 P.M.?

<p>1 hr (D)</p> Signup and view all the answers

What is the change in temperature of the river due to the energy released?

<p>4.1°C (D)</p> Signup and view all the answers

What is the flow rate of the river mentioned in the calculations?

<p>100.0 m3/s (B)</p> Signup and view all the answers

According to the second law of thermodynamics, what happens to some energy in heat engines?

<p>It is always turned into waste heat. (C)</p> Signup and view all the answers

What is the role of the cold reservoir in the heat engine described?

<p>It absorbs the waste heat from the engine. (C)</p> Signup and view all the answers

What does the Carnot engine diagram illustrate regarding heat energy?

<p>Heat is transferred from a high-temperature to a low-temperature reservoir. (C)</p> Signup and view all the answers

In the context of thermodynamics, which of the following correctly describes the efficiency of heat engines?

<p>They inherently produce waste heat during operation. (D)</p> Signup and view all the answers

What is the purpose of the steam system in a steam-electric plant?

<p>To convert high-temperature heat into electrical power. (D)</p> Signup and view all the answers

What happens to energy that is not converted into useful work in a heat engine?

<p>It is released as low-quality heat to the environment. (B)</p> Signup and view all the answers

Flashcards

Milligram (mg)

A unit of measurement commonly used for expressing the mass of substances, especially in chemistry and pharmaceuticals.

Microgram (µg)

A unit of measurement for very small masses, often used in chemistry for extremely small amounts of substances.

Mole (mol)

A unit of measurement indicating the amount of a substance in a chemical reaction or solution.

Liter (L)

A unit of measurement for volume, commonly used for liquids.

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SI Units (International System of Units)

A system of units used in science and engineering, using meters, kilograms, seconds, and other base units.

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USCS Units (United States Customary System)

A system of units often used in the US, based on feet, pounds, gallons, etc.

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Density

The ratio of mass per unit volume, representing how much matter is packed into a certain space.

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Concentration

The amount of substance present per unit volume of a mixture, often expressed in mg/L, µg/L, or mol/L.

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Reaction rate

In a chemical reaction, the speed at which a substance is transformed from one form to another.

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Zero-order reaction

A type of chemical reaction where the rate of reaction is independent of the concentration of the reactants.

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First-order reaction

A chemical reaction where the speed of the reaction is directly proportional to the concentration of the reactant.

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Half-life

The time it takes for the concentration of a substance to decrease to half its initial value in a first-order reaction.

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Decay

Process in which a substance breaks down into simpler substances.

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Generation

Process in which a substance is formed from simpler substances.

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Rate constant

A constant used in the rate law to describe the rate of a chemical reaction.

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Batch system

A model used to describe how the concentration of a substance changes over time in a batch system, particularly for reactions with zero-order kinetics.

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Mass Concentration

The mass of a substance per unit volume of a fluid.

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Molar Concentration

The number of moles of a substance per liter of solution.

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Parts Per Million by Volume (ppmv)

The volume of a gaseous pollutant per million volumes of the air mixture. It represents the concentration of a gas in the air.

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Ideal Gas Law

A relationship that describes the behavior of ideal gases. It relates pressure, volume, moles of gas, and temperature.

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Concentration in Mass per Unit Volume

The mass of a substance per unit volume of air. It represents the concentration of a pollutant in the air.

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Water Fluoridation

The process of treating water with fluoride to reduce tooth decay.

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Optimum Fluoride Concentration

The amount of fluoride needed in water to be effective for tooth decay prevention.

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Pollution Control

The process of removing pollutants from air or water to improve its quality.

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Specific heat

The amount of heat energy required to raise the temperature of a substance by one degree Celsius (or Fahrenheit) without causing a change in its physical state (e.g., solid to liquid).

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Latent heat

The amount of heat energy absorbed or released during a change of state (e.g., melting, freezing, boiling, condensation) at a constant temperature.

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Latent heat of fusion

The amount of heat energy required to melt one gram of a substance at its melting point.

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Latent heat of vaporization

The amount of heat energy required to vaporize one gram of a substance at its boiling point.

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Sensible heating

The process where heat energy causes a change in temperature of a substance without a change in its physical state.

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Latent heat transfer

The process where heat energy causes a change in the physical state of a substance without a change in its temperature.

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Latent heat of phase change

The amount of heat energy required to change the phase of a substance from solid to liquid (melting) or from liquid to gas (boiling).

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Heating curve

A graphical representation that demonstrates the relationship between heat energy input and temperature changes in a substance, including phase changes.

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Concentration at a specific time

The concentration of a substance in a system at a specific point in time, considering both inflow and outflow, and potential decay or generation.

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Steady-state concentration

The constant concentration of a substance in a system when inflow, outflow, and decay or generation processes reach a balance.

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Reaction-rate constant (kd)

The rate at which a substance decays or is removed from a system, often expressed as a per-time unit like per day or per hour. It reflects how quickly the substance breaks down or disappears.

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Flow rate (Q)

The flow rate of a substance entering or leaving a system, commonly expressed as volume per time unit like m3/hr or L/s. It represents the amount of substance moving in or out per unit of time.

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Volume (V)

The volume of a system where a substance is being considered, like a lake or reactor. It represents the total space where the substance is distributed.

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Initial concentration (C0)

The initial concentration of a substance in a system before any inflow or generation processes occur.

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Second Law of Thermodynamics

The Second Law of Thermodynamics states that it is impossible to convert all heat energy into useful work. Some energy will always be lost as waste heat, even in ideal systems.

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Heat Engine

A heat engine is a device that converts thermal energy (heat) into mechanical energy (work). It does this by transferring heat from a high-temperature source to a low-temperature source, generating work in the process.

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Waste Heat

Waste heat is an inevitable byproduct of energy conversion in heat engines. It is the heat energy that is not converted into useful work and is rejected to the surroundings.

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Carnot Engine

A Carnot engine is a theoretical, ideal heat engine that operates at the maximum possible efficiency. It achieves this by operating between two heat reservoirs at different temperatures.

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Efficiency of a Heat Engine

The efficiency of a heat engine is the ratio of the work output to the heat input. It represents how effectively the engine converts heat into useful work.

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First Law of Thermodynamics

The first law of thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another. This means that the total energy in a closed system remains constant.

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Reservoir (in Heat Engines)

A reservoir is a body of matter that can absorb or release heat without significantly changing its temperature. In a heat engine, the hot reservoir provides heat, and the cold reservoir absorbs waste heat.

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Temperature Difference in Heat Engines

The temperature difference between the hot and cold reservoirs of a heat engine is crucial for driving the engine. A larger temperature difference results in higher efficiency and more work produced.

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Study Notes

Basic Units and Conversion Factors

  • Units most frequently used are milligrams (mg), micrograms (mcg), or moles (mol) per liter (L).
  • Table 1 provides a summary of units and conversion factors between SI (Système International) and USCS (United States Customary Systems) units.
    • Includes conversions for length (meter to feet), mass (kilogram to pounds), temperature (Celsius to Fahrenheit), area, volume, energy, power, velocity, flow rate, and density.
  • Prefixes for various orders of magnitude are presented in Table 2.

Mass and Energy Transfer - Calculations

  • Fluoride mass calculation:
    • To find the mass of fluoride in a 25 kg bag, the ratio of fluoride's molar mass is used (19.0 g/mol) to the molar mass of the material (42.0 g/mol).
    • Result: 11.31 kg of fluoride.
  • Optimum fluoride concentration in water:
    • Converting from molar concentration (mmol/L) to mass concentration (mg/L) using the appropriate conversion factors results in 1.01 mg/L.
  • Mass concentration formula:
    • The general formula for mass concentration (C) is mass (m) divided by volume (V)

Pollutant Concentrations (Gaseous)

  • Pollutant concentration expression in terms of volume:
    • Parts per million (ppm) is volume of pollutant per million volumes of the air mixture (1 ppmv)
  • The ideal gas law (PV=nRT) establishes relation between Volume and Mass concentration.
    • P = absolute pressure (atm)
    • V = volume (m3)
    • n = moles of gas
    • R = ideal gas constant = 0.082056 L-atm-K-1-mol-1
    • T = absolute temperature (K)

Zero-order Kinetics

  • Zero-order reactions:
    • The decay or generation rate is constant regardless of the changes in concentration level, which is independent of the substance's concentration.
    • Concentration changes linearly with time.
  • The general equation: C = C0 – kt, where C0 is the initial concentration, and k is the reaction rate constant

First-order Kinetics

  • First-order reactions (decay and generation):
    • The rate of reaction is directly proportional to the concentration of substance.
    • Decay and generation rates may be any order, however zero-order is most common for generation and first-order for decay.
    • The first-order reaction rate is r(C) =± kC, with k having units of reciprocal time (time−1)

Steady-State Concentration (using Q, V, G, Ci, and kd symbols)

  • Calculating steady-state concentration:
    • Example calculation using the formula Cq = (Q Ci + kg V) / (Q +kdV) for specific values of Q, V, G, Ci, and kd .

Sudden Decrease in Pollutants

  • Example demonstrating the change in pollutant concentration due to a sudden interruption in the discharge of pollutants to a body of water.
  • Calculations for concentration after a week and the reaching a new steady-state condition of pollution.

Sensible Heating and Latent Heat

  • Sensible heating:
    • Process where a substance changes temperature as heat is added.
  • Latent heat:
    • Addition of heat that causes a phase change (e.g., melting, boiling)
  • Energy released or absorbed in phase change equation:
    • Energy released/absorbed = m * L, with m is the mass and L is latent heat of fusion or vaporization.
  • Figure 13 illustrates the concepts of latent heat and specific heat for water, showing the various required energy when converting between ice, water, and steam.

Temperature Elevation of a River

  • Calculations for the elevation in temperature of a river with a specified amount of heat release rate using the equation:
    • Rate of change in internal energy = m * c * ΔT.

Second Law of Thermodynamics (Heat Engine)

  • The second law of thermodynamics states that there will always be some waste heat in heat engine processes; it's impossible to convert heat completely to work.
  • Heat engine example (like a steam-electric plant): It takes heat from a high-temperature source, converts some into work, and rejects the remainder into a low-temperature reservoir.

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