Reaction Rates and Rate Laws

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Questions and Answers

What does the principle of conservation of energy state?

  • Energy can be transferred or stored, but never created or destroyed. (correct)
  • Energy can be both created and destroyed depending on the system.
  • Energy can be destroyed but not created.
  • Energy can be created but not destroyed.

Dissipated energy is considered useful because it efficiently contributes to the intended function of a system.

False (B)

Define 'power' in the context of energy transfer.

Power is the rate of energy transfer or the rate of doing work.

A mobile phone transforms chemical energy to useful energy, but some energy is ______ as thermal energy.

<p>dissipated</p> Signup and view all the answers

Match the processes with their descriptions:

<p>Conduction = Energy transfer through vibrating particles and collisions. Convection = Energy transfer through the movement of energetic particles in fluids. Radiation = Energy transfer through electromagnetic waves.</p> Signup and view all the answers

In conduction, how is energy transferred between particles?

<p>Through direct contact and collisions between particles. (D)</p> Signup and view all the answers

Thermal conductivity measures how slowly energy is transferred through a material.

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

Explain why convection occurs primarily in liquids and gases.

<p>Particles in liquids and gases are able to move more freely compared to solids.</p> Signup and view all the answers

In convection, when a region of gas or liquid is heated, its ______ decreases.

<p>density</p> Signup and view all the answers

Match each item with its most appropriate description regarding energy transfer:

<p>Radiator = Creates convection currents in a room. Insulated Flask = Minimizes energy transfer from hot soup to the surroundings. Engine = Transfers energy to make a car move.</p> Signup and view all the answers

What happens to air particles near a radiator?

<p>They become warmer and rise. (D)</p> Signup and view all the answers

A powerful machine is always one that exerts a strong force.

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

What is the formula to calculate power?

<p>$P = \frac{E}{t}$ or $P = \frac{W}{t}$</p> Signup and view all the answers

One watt is equal to one ______ of energy transferred per second.

<p>joule</p> Signup and view all the answers

Match the motor to calculated power (P = W/t):

<p>Motor A = lifts a stunt performer to the correct height in 50 s Motor B = lifts a stunt performer to the correct height in 300 s</p> Signup and view all the answers

What is the process where vibrating particles transfer energy to neighboring particles?

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

Particles in liquids and gases are less free to move around, which is why they usually transfer energy by convection instead of conduction.

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

Why does the warmer and less dense region will rise above denser, cooler regions?

<p>Liquids and gases can flow.</p> Signup and view all the answers

Radiators create ______ current

<p>convection</p> Signup and view all the answers

Match the description:

<p>Warm air rises = cool air sinks air near the radiator = gets warmer</p> Signup and view all the answers

Flashcards

Energy Conservation Principle

Energy can be transferred usefully, stored, or dissipated, but never created or destroyed.

Power

The rate of energy transfer, or the rate of doing work, measured in watts (Joules per second).

Conduction

Process where vibrating particles transfer energy to neighboring particles.

Convection

Process where energetic particles move away from hotter to cooler regions.

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Thermal Conductivity

A measure of how quickly energy is transferred through a material.

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Convection Currents

Heating creates currents in the air, circulating warm and cool air.

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Dissipated Energy

When energy is not transferred usefully; stored in a non-usable way.

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Study Notes

Reaction Rate

  • For the reaction A → B, the rate of disappearance of reactant A is expressed as -d[A]/dt.
  • The rate of appearance of product B is expressed as d[B]/dt.

Rate Law

  • For a reaction aA + bB → cC + dD, the rate law is 𝑟𝑎𝑡𝑒=𝑘[𝐴]^𝑥[𝐵]^𝑦.
  • k is the rate constant.
  • x is the order of the reaction with respect to reactant A.
  • y is the order of the reaction with respect to reactant B.
  • x + y gives the overall order of the reaction.

Integrated Rate Laws

  • Zero Order: rate = k, [A]_t = -kt + [A]0, half-life is 𝑡{1/2} = [A]_0/2𝑘
  • First Order: rate = k[A], ln[A]_t = -kt + ln[A]0, half-life is 𝑡{1/2} = 0.693/𝑘
  • Second Order: rate = k[A]^2, 1/[A]_t = kt + 1/[A]0, half-life is 𝑡{1/2} = 1/(𝑘[A]_0)
  • Second Order: rate = k[A][B] (if [A] = [B]), 1/[A]_t = kt + 1/[A]0, half-life is 𝑡{1/2} = 1/(𝑘[A]_0)
  • Second Order: rate = k[A][B] (if [B] >> [A]), ln[A]_t = -kt + ln[A]_0 where k' = k[B]0, half-life is 𝑡{1/2} = 0.693/𝑘'
  • Second Order: rate = k[A][B] (if [A] >> [B]), ln[B]_t = -kt + ln[B]_0 where k' = k[A]0, half-life is 𝑡{1/2} = 0.693/𝑘'
  • When [A]_0 >> [B]_0, [A]_t ≈ [A]_0, resulting in a pseudo-order rate law: rate = k'[B]^n, where k' = k[A]_0^m
  • In pseudo-order rate laws, k' = k[A]_0^m, which is the pseudo-order rate constant

Arrhenius Equation

  • Relates the rate constant to temperature and activation energy: k = Ae^(-Ea/RT).
  • k is the rate constant.
  • A is the frequency factor.
  • Ea ​is the activation energy.
  • R is the gas constant (8.314 J/mol·K).
  • T is the temperature in Kelvin.
  • Alternate form: ln(k2/k1) = Ea/R(1/T1 −1/T2).

Catalysis

  • Catalysts increase reaction rates by reducing activation energy.
  • Catalysts remain unchanged during the reaction.
  • Homogeneous catalysts exist in the same phase as the reactants.
  • Heterogeneous catalysts exist in a different phase from the reactants.

Reaction Mechanisms

  • Reaction mechanisms consist of elementary steps that sum to the overall reaction.
  • The rate-determining step is the slowest step and controls the reaction rate.
  • Intermediates are formed in one step and consumed in a later step.

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