Notes, summaries, assignments, exams, and problems for Baccalaureate

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Principles of Chemistry: From Stoichiometry to Molecular Orbital Theory

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The Mole Concept

The mole concept is an International System unit of measurement for a substance. It is also represented by carbon-12, and 1 mole is equal to Avogadro's number (6.022 x 10^23).

The Periodic Table's Role in Stoichiometric Calculations

We use the periodic table to get values for given elements in a reaction to obtain their atomic values. We can then use these values for conversion from grams to moles or moles to grams in stoichiometric-based problems (gram/mole, mole-gram conversions).

Heat vs. Enthalpy

Heat is the energy that flows between a system and its surroundings due to a difference in temperature.

Enthalpy is equivalent to the total heat content of a system.

Why Only Enthalpy Explains Energy Associated with Chemical Bonds

Because... Continue reading "Principles of Chemistry: From Stoichiometry to Molecular Orbital Theory" »

Crafting Effective Letters of Advice: Structure and Phrases

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Letters Giving Advice

Introduction

Paragraph 1 - Thanks for the letter and express understanding of the problem.

Main Body

Paragraphs 2, (3) - Suggestion(s) and reason(s).

Conclusion

Final paragraph - Closing remarks.

Useful Language for Letters Giving Advice

Opening Remarks

Formal

  • Thank you for your letter requesting...
  • I am writing in reply to your letter asking for advice about...
  • I hope the following advice will be of some help to you, etc.

Informal

  • I just got your letter and I think I can help you...
  • I was sorry to hear about your problem. Here's what I think you should do, etc.

Suggestions

Suggestions can be introduced with expressions such as:

Formal

  • I strongly recommend that...
  • I would suggest that...
  • I believe the best course of action is...
  • I would advise
... Continue reading "Crafting Effective Letters of Advice: Structure and Phrases" »

The Origins, Conflicts, and Consequences of the Cold War

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The Cold War: Definition and Origins

The Cold War was the most important political issue of the early post-war period. It originated from long-lasting disagreements between the Soviet Union and the United States regarding their political and economic ideologies.

The Western Bloc defended a liberal democratic political regime within a capitalist economy, where corporations were the beneficiaries. The Soviet Union and its allies defended a form of state socialism. In reality, this system often resulted in a group of dictatorships within a state-based economic system where the hierarchy of the sole party, the Communist Party, became the new dominant class.

Key Events Triggering the Cold War

  1. The Abandonment of US Isolationism: The Truman Doctrine.

... Continue reading "The Origins, Conflicts, and Consequences of the Cold War" »

World War II: Causes, Impact, and Legacy

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What Was World War II?

World War II, a global armed conflict lasting from 1939 to 1945, was a total war in two distinct aspects. Firstly, civilian populations became primary targets and the war's most tragic victims. Secondly, the conflict engulfed all continents, marking it as one of the most brutal and inhumane wars in history.

Driven by Nazi expansionism, World War II represented an ideological struggle. It pitted democracy and socialism against fascism, even sparking civil conflicts within the Axis powers—Germany, Italy, and Japan. The Allied forces—including Britain, France, the USA, and the Soviet Union—fought for liberal democratic principles.

As the largest armed conflict in human history, World War II resulted in unprecedented destruction,... Continue reading "World War II: Causes, Impact, and Legacy" »

Verb Tenses, Conditionals, Passive Voice, and Modals in English

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Verb Tenses

PastPresent Future
Simple I ate I eat I will eat
Continuous I was eating I'm eating I will be eating
Perfect I had eaten I have eaten I will have eaten
Perf.Cont I had been I have been I will have been eating eating eating


Conditionals

ConditionResult
0 --> Present simple Present simple
1 --> Present simple will/won't + VERB
2 --> Past Simple would + VERB
3 --> Past Perfect would have + Past Participle









Passive

Tense Active Passive
Pre.Sim I do my homework My homework is done
Pre.Cont I'm doing my homework My homework is being done
Past.Sim I did my homework My homework was done
Past.Con I was doing my homework My homework was being done
Pre.Perf I have done my homework My homework has been done
Past.Perf I had done my homework My homework
... Continue reading "Verb Tenses, Conditionals, Passive Voice, and Modals in English" »

London Living & Personal Growth: Insights and Advice

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Discover London: A Vibrant Global City

I live in one of the most important cities in the world, London. This city offers a great variety of entertainment, such as:

  • Museums
  • Important theatres
  • Cinemas
  • Parks around the city
  • Restaurants to eat typical food
  • Numerous shops to buy trendy clothes

London's Diverse Entertainment & Culture

From world-class museums to vibrant theatres and cinemas, London provides endless entertainment. You can savor delicious typical food in its many restaurants or explore countless shops for the latest fashion trends.

Beyond London: Charming Day Trip Destinations

In addition, you can visit some charming villages close to London. If you want to walk along the beach, you may visit Brighton. If you appreciate Roman culture, you

... Continue reading "London Living & Personal Growth: Insights and Advice" »

Rewrite Sentences with Verbs and Phrases | Complete the Sentences | Grammar

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Rewrite the sentences with the verbs and phrases below. Make any necessary changes.
crash into • let ... down • charge • stay behind • bring up • take your time • slack off • hand
1. Brian hit the car in front of him.
Brian crashed into the car in front of him
2. How much did you pay the mechanic to repair your car?
How much did the mechanic charge to repair your car?
3. It isn’t a good idea to discuss politics with our guests.
It isn’t a good idea to bring up politics with our guests.
4. Don’t disappoint me.
Don’t let me down.
5. I must keep working as hard as I can.
I mustn’t slack off.
6. I won’t leave if you ask me to.
I’ll stay behind if you ask me to.
7. There’s no need to hurry. You won’t be late.
Take your time. You
... Continue reading "Rewrite Sentences with Verbs and Phrases | Complete the Sentences | Grammar" »

Verb Replacement Exercise and Sentence Completion

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Verb Replacement Exercise

The following sentences do not make sense. Correct them by replacing each verb in bold with a verb in bold from another sentence.

  • Can I borrow your phone? I left mine at home.
  • Thanks for the money. I’ll repay you next week.
  • How much did the technician charge you for the repairs?
  • I can’t afford anything in this shop. Everything is so expensive.
  • Thanks for the maths lesson. How much do I owe you?
  • Take this medicine. It should relieve the pain.
  • Don’t worry. I will lend you some money this week.
  • Don’t point at people. It’s impolite.

Complete the Sentences

Complete the sentences with the words below. There are more words than you need.

  • I looked at the price tag because I wanted to know how much it cost.
  • Do you have any change?
... Continue reading "Verb Replacement Exercise and Sentence Completion" »

Vocabulary and Grammar Practice: Sentences and Clauses

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Sentence Completion Exercises

Complete the sentences with a suitable word or phrase.

  1. The shirt you bought me was too big, so I’m going to exchange it for a smaller one.
  2. How much do we owe? We want to pay you now.
  3. How much does your hairstylist charge for a haircut?
  4. He hadn’t acted in years, but he has recently made a comeback and has appeared in films.
  5. The cost of living has risen, so everything has become more expensive this year.
  6. Thank you so much. I’m so grateful for everything you have done.
  7. I know he’ll succeed despite the difficulties. I have confidence in him.
  8. Could you please point to the person who you saw breaking into the car?

Building Logical Sentences

Write a logical sentence to follow each one below. Use the words and phrases provided.

... Continue reading "Vocabulary and Grammar Practice: Sentences and Clauses" »

Phrasal Verbs and Reported Speech: English Grammar Exercises

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Complete with Phrasal Verbs

Complete the sentences using the phrasal verbs below. Turn is used twice.

back • bring • give • go • put • take • turn

  1. The music isn’t loud enough. Turn it up, please.
  2. Her parents died, so her grandparents brought her up.
  3. I’d like to take you out for dinner tonight.
  4. I need your support. Please back me up at the meeting.
  5. Don’t stop. Try and go on.
  6. Do you want to keep this or give it away?
  7. To join, just put your name down here.
  8. Look behind you before you back up.

Understanding Vocabulary

Complete the sentences to show you understand the bold words.

  1. He’s a con artist. Don’t rely on him.
  2. They had to let him off because there wasn’t sufficient evidence to blame him.
  3. We lost track of the suspect, so we won't find
... Continue reading "Phrasal Verbs and Reported Speech: English Grammar Exercises" »