Chemical Kinetics: Reaction Rates and Mechanisms

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Questions and Answers

Which of the following best describes the Persian Empire's expansionist motivations during the lead-up to the Greco-Persian Wars?

  • A desire to spread their superior civilization and culture to the 'barbaric' Greeks.
  • A religious obligation to conquer and convert the polytheistic Greek city-states.
  • A search for new sources of wealth and resources to sustain their growing empire. (correct)
  • A strategic need to control key waterways and trade routes in the Black Sea.

How did the Persian Empire's administrative approach differ when dealing with Greek cities versus Greek colonies?

  • Greek cities were militarily occupied, while Greek colonies were offered alliances and trade agreements.
  • Greek cities were compelled to pay tribute, whereas Greek colonies enjoyed a more respectful relationship that emphasized the central authorities power. (correct)
  • Greek cities were granted full autonomy, while Greek colonies were directly administered by Persian governors.
  • Greek cities were exempt from taxation, while Greek colonies were required to pay taxes in kind.

What geographical area marked the initial site of conflict between the Persians and the Greeks?

  • Ionia, on the Aegean coast of modern-day Turkey, due to Greek colonies located there. (correct)
  • The island of Crete, a major center of Minoan civilization.
  • The Peloponnese, due to its strategic naval importance.
  • The Thracian Chersonese, providing a direct route to the Hellespont.

Which of the following illustrates the contrast in how the Greeks and Persians viewed one another?

<p>The Greeks saw the Persians as 'barbaric' and culturally inferior, while Persians viewed the Greeks as politically disunited and weak. (D)</p> Signup and view all the answers

How did territorial expansion contribute to the start of the Greco-Persian Wars?

<p>Persian expansion threatened Greek access to vital grain supplies from the Black Sea region. (A)</p> Signup and view all the answers

How did the rise of the Persian Empire impact the political landscape of the Aegean region?

<p>It brought the long-standing conflict to a head as Persia expanded into territory held by Greek colonies. (C)</p> Signup and view all the answers

What was a significant strategic advantage that the Greeks sought to maintain in the face of Persian expansion?

<p>Dominion over the seas, especially routes to the Black Sea. (D)</p> Signup and view all the answers

How did the earlier conquests by Cyrus the Great set the stage for later conflicts between Persia and Greece?

<p>By incorporating Greek-inhabited regions like Ionia into the Persian Empire. (C)</p> Signup and view all the answers

How did the contrasting political systems of Persia and Greece contribute to the outbreak of the Greco-Persian Wars?

<p>The centralized authority of Persia clashed with the independent city-states of Greece. (A)</p> Signup and view all the answers

Which Persian ruler expanded into Europe, annexing Thrace and several Aegean islands, thus directly challenging Greek interests?

<p>Darius I. (C)</p> Signup and view all the answers

How did the Persian concept of subject peoples impact their relationship with the Greek city-states?

<p>The Persians expected tribute and submission, which clashed with the Greeks' sense of independence. (D)</p> Signup and view all the answers

What economic factor made control over the Black Sea trade routes particularly critical for the Greek city-states?

<p>The need to import vital grain supplies. (D)</p> Signup and view all the answers

What was the primary goal of the Greeks in resisting Persian expansion?

<p>To preserve their political independence and secure their economic interests. (D)</p> Signup and view all the answers

How did the vast size of the Persian Empire influence its military strategy during the Greco-Persian Wars?

<p>It enabled Persia to mobilize massive armies, but created challenges in supply and communication. (C)</p> Signup and view all the answers

What motivated Cambyses, the successor of Cyrus the Great, to incorporate Egypt into the Persian Empire?

<p>To incorporate valuable resources and strategically position the empire near colonies of Greeks in North Africa. (D)</p> Signup and view all the answers

Considering the Persian expansion, what was a key vulnerability for the Greek city-states?

<p>Their political fragmentation and lack of unified command. (C)</p> Signup and view all the answers

Which of the following consequences stemmed from the Persian Empire’s control over Ionia?

<p>The suppression of democratic movements and the installation of pro-Persian tyrants. (C)</p> Signup and view all the answers

What strategic advantage did the Persian Empire gain by annexing Thrace?

<p>A direct land route for invading Greece and threatening its influence. (C)</p> Signup and view all the answers

What was a significant long-term effect of the Greco-Persian Wars, despite the Greek victory?

<p>The rise of Athens as a dominant naval power and the beginning of its Golden Age. (C)</p> Signup and view all the answers

Flashcards

First Persian War context

At the beginning of the 5th century BC, the Greek world clashed for the first time with a powerful external enemy.

Greek view of Persians

The Persians were considered "barbarians" by the Greeks, viewed as inferior in terms of civilization and culture.

Size of the Persian Empire

By the end of the 6th century BC, it covered approximately 3 million square kilometers, almost ten times the size of Italy and thirty times the size of Greece.

How did Persian empire grow?

It arose and established itself in just over fifty years thanks to the exploits of three great rulers.

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Ciro il Grande conquests

Conquered Lydia and Ionia (regions of Asia Minor), Mesopotamia, Syria, Palestine, and the vast area between the Caspian Sea and the Indus Valley.

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Cambise's expansion

Incorporated Egypt and Cyprus into the Empire, also subjugating some Greek colonies in North Africa.

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Dario I expansion

Annexed Thrace and many Aegean islands, shifting the empire's borders westward.

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Causes of conflict

The Persian Empire wanted new sources of wealth, while the Greek world wanted to preserve control of the seas.

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Where did the conflict begin?

Conflict started in Ionia, on the Aegean coast of modern Turkey, where the Greeks had founded numerous colonies.

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Study Notes

  • The study notes cover chemical kinetics, focusing on reaction rates, rate laws, activation energy, and reaction mechanisms.

Reaction Rate

  • For a reaction $aA + bB \rightarrow cC + dD$, the rate can be expressed in terms of the change in concentration of reactants and products over time. $Rate = -\frac{1}{a}\frac{d[A]}{dt} = -\frac{1}{b}\frac{d[B]}{dt} = \frac{1}{c}\frac{d[C]}{dt} = \frac{1}{d}\frac{d[D]}{dt}$

Rate Law

  • Expressed as $Rate = k[A]^x[B]^y$.
  • $k$ represents the rate constant.
  • $x$ signifies the order of the reaction with respect to reactant A.
  • $y$ indicates the order of the reaction with respect to reactant B.
  • The overall reaction order is the sum of x and y ($x + y$).
  • Rate law must be determined through experimentation.

Zero Order Reactions

  • Rate is constant and independent of reactant concentration: $Rate = k[A]^0 = k$.
  • A plot of [A] vs t yields a straight line.
  • Half-life ($t_{1/2}$) is calculated as $t_{1/2} = \frac{[A]_0}{2k}$.

First Order Reactions

  • Rate is directly proportional to the concentration of one reactant: $Rate = k[A]^1 = k[A]$.
  • A plot of $\ln[A]$ vs t is linear.
  • Half-life ($t_{1/2}$) is constant: $t_{1/2} = \frac{0.693}{k}$.

Second Order Reactions

  • Rate is proportional to the square of the concentration of one reactant: $Rate = k[A]^2$.
  • Plotting $\frac{1}{[A]}$ vs t results in a linear relationship.
  • Half-life ($t_{1/2}$) is inversely proportional to the initial concentration: $t_{1/2} = \frac{1}{k[A]_0}$.

Activation Energy

  • Activation energy is the minimum energy needed for a reaction to occur.

Arrhenius Equation

  • Describes the relationship between the rate constant, activation energy, and temperature: $k = Ae^{-E_a/RT}$.
  • $A$ is the frequency factor.
  • $E_a$ is the activation energy.
  • R is the gas constant (8.314 J/mol·K).
  • T is the temperature in Kelvin.

Two-Point Arrhenius Equation

  • Used to find activation energy when rate constants at two temperatures are known: $\ln\frac{k_2}{k_1} = \frac{E_a}{R}(\frac{1}{T_1} - \frac{1}{T_2})$.

Catalyst

  • A catalyst lowers the activation energy, thus speeding up the reaction.

Elementary Step/Reaction

  • A reaction that happens in a single step

Reaction Mechanism

  • Reaction Mechanism is the series of elementary steps that make up a reaction.

Rate Determining Step

  • Rate Determining Step is the slowest step in a reaction mechanism.

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