Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Matter is defined as anything that has mass and occupies space. It can be classified physically into three states: Solid (fixed volume and shape), Liquid (fixed volume, no fixed shape), and Gas (no fixed volume or shape).
Chemically, matter is classified into Pure Substances and Mixtures. Pure substances consist of only one type of particles ( or ) and include Elements (e.g., , ) and Compounds (e.g., , ).
Mixtures contain two or more substances present in it in any ratio. They are either Homogeneous (uniform composition, e.g., sugar solution) or Heterogeneous (non-uniform composition, e.g., mixture of salt and sugar).
The International System of Units () identifies seven base units: length (), mass (), time (), electric current (), thermodynamic temperature (), amount of substance (), and luminous intensity ().
Scientific notation is used to express numbers as , where . For example, is written as .
Significant figures indicate the precision of a measurement. Rules include: all non-zero digits are significant, zeros between non-zero digits are significant, and leading zeros are not significant.
Law of Conservation of Mass: In any chemical or physical change, the total mass of the products is equal to the total mass of the reactants.
Law of Definite Proportions: A chemical compound always contains exactly the same proportion of elements by mass, regardless of its source.
Law of Multiple Proportions: If two elements can combine to form more than one compound, the masses of one element that combine with a fixed mass of the other element are in the ratio of small whole numbers. Example: and .
Gay Lussac’s Law of Gaseous Volumes: When gases combine or are produced in a chemical reaction, they do so in a simple ratio by volume, provided all gases are at the same temperature and pressure.
Avogadro’s Law: Equal volumes of all gases at the same temperature and pressure should contain an equal number of molecules.
📐Formulae
💡Examples
Problem 1:
If the temperature of a sample is , what is its value on the Fahrenheit scale?
Solution:
Explanation:
By applying the conversion formula , we substitute the given Celsius value to find the Fahrenheit equivalent.
Problem 2:
Carbon and oxygen combine to form two compounds, and . In , g of carbon combines with g of oxygen. In , g of carbon combines with g of oxygen. Show that this follows the Law of Multiple Proportions.
Solution:
Mass of oxygen combining with fixed mass of carbon ( g) in g. Mass of oxygen combining with fixed mass of carbon ( g) in g. Ratio = .
Explanation:
Since the ratio is a simple whole number ratio, it satisfies the Law of Multiple Proportions proposed by Dalton.
Problem 3:
Express the number in scientific notation and identify the number of significant figures.
Solution:
Scientific notation: . Significant figures: .
Explanation:
The decimal is moved 5 places to the right to obtain a coefficient between 1 and 10. Leading zeros are not significant, so only and are counted.