Chemistry

Calculation questions on Charles's law

len Alfred Ajibola - 16th February, 2023 @ 03:02 PM

Topics in Chemistry

Gas laws in chemistry Charles's law explained Calculation questions on Charles's law Examples of Charles's law in real life Boyle's law explained Calculation questions on Boyle's law Examples of Boyle's law in real life Summary on the kinetic molecular theory of gases Postulates of kinetic theory of gases Avogadro's number explained with worked examples Mole and Avogadro's Number explained Le Chatelier's Principle: Changes in concentration and pressure in dynamic equilibrium Chemical Equilibrium: Dynamic Equilibrium in Chemistry Static and Dynamic Equilibrium explained with their differences Chemistry Scheme of Work, SS1, First Term Chemistry Scheme of Work, SS1, Second Term Chemistry Scheme of Work, SS1, Third Term Compounds in Chemistry: Characteristics of Compounds Types of Mixture: Homogenous and Heterogeneous Mixtures What are mixtures? Characteristics of mixtures


Academic Questions in Chemistry

Please click here to see all Questions and Answers

With regards to redox reactions, which of the following statement is wrong?

  • A. Redox reaction are examples of chemical change

  • B. Reduction is the gain of electron

  • C. Substances that donates election during chemical reaction are termed reductants

  • D. Oxidizing agents are always reduced in chemical reactions

  • E. Oxidation occurs at the cathode in electrolysis

  • F. Hydrogen is a reducing agent

In chemistry, physical change is associated only with the rearrangement of molecules while the internal composition of the substance remains the same.

  • A. True

  • B. False

_____ electron(s) is a term that describes the number of electron(s) in the outermost shell of an atom.

  • A. Outer

  • B. Excess

  • C. Valence

  • D. Positive

  • E. Negative

  • F. Last

_____ is the negative electrode in electrolysis.

  • A. Anode

  • B. Anion

  • C. Cathode

  • D. Cation

  • E. Ion

  • F. Electrolyte

Electrovalent Bond - Len Academy

The above diagram shows the _____ type of bond.

  • A. Covalent

  • B. Polar covalent

  • C. Coordinate covalent

  • D. Metallic

  • E. Van dear walls

  • F. Ionic

 Metals are referred to as _____ in their impure state.

  • A. Diluted

  • B. Consecrated

  • C. Coloured

  • D. Ores

  • E. Stained

  • F. Strained

Metals generally have the quality to shine, glow, sparkle, glitter, reflect light and be polished. This characteristic of metals is termed _____.

  • A. State

  • B. Ductility

  • C. Luster

  • D. Malleability

  • E. Hardness

  • F. Inflorescence

The _____ spectrometry experiment conducted on isotopic elements gave a confirmation for the existence of isotopes.

  • A. Mole

  • B. Volume

  • C. Weight

  • D. Number of moles

  • E. Mass

  • F. Amount of substance



Worked Examples on Charles's Law:

Charles's law states that the volume of a given mass of gas is directly proportional to the absolute temperature of the gas (in kelvin), provided the pressure remains constant.

French physicist, Jacques Charles (1746-1823) formulated this law in 1780.

Please read the details of Charles's law alongside its graph and equations here.

 

  • Question 1

A tube is filled with hydrogen gas to a volume of 10dm3 at a temperature of 30oC. If this tube is heated to a temperature of 100oC, what will be the new volume of the tube?

  • Solution 

Step 1: List the known quantities from the question.

  • Initial Volume (V1) =10dm3

  • Initial Temperature (T1) = 30oC

  • Final Volume (V2) = Unknown

  • Final Temperature (T2)= 100oC

 

Step 2: When solving questions relating to Charles's law, the temperature must be in Kelvin. From our question, the temperature was given in degree celcius (oC). Therefore, we need to covert the temperature from degree celcius to kelvin. To do this, we simply add 273.15 to the celcius temperature.

  • T1 = 30 + 273.15 = 303.15K

  • T2 = 100 + 273.15 = 373.15K

 

Step 3: Apply the formula for Charles's law to find the final volume (V2). Below is the formula:

  • V1/T1 = V2/T2

 

Step 4: Make V2 the subject of the formula.

  • V1/T1 = V2/T2

  • V1 x T2 = V2 x T1

  • V1 x T2 / T1 = V2

  • V2 = (V1 x T2) ÷ T1

 

Step 5: Substitute values into the formula to find the final volume (V2).

  • V2 = (10 x 373.15) ÷ 303.15

  • V2 = 3731.5 ÷ 303.15

  • V2 = 12.3dm3

 

Step 6: Think about your answer.

  • Notice that the final volume (V2) increases just as the final temperature (T2) increases. This is in accordance with Charles's law since both are always directly proportional.

Please read worked examples on Boyle's law here

 

  • Question 2

200L of oxygen gas was compressed at a temperature of 37oC to 20L. Calculate is the temperature of oxygen at the final volume.

  • Solution 

Step 1: List the known quantities from the question.

  • Initial Volume (V1) = 200L

  • Initial Temperature (T1)= 37oC

  • Final Volume (V2) = 20L

  • Final Temperature (T2) = Unknown

 

Step 2: Covert the temperature from degree celcius to kelvin.

  • T1 = 37 + 273.15 = 310.15K

 

Step 3: Apply the formula for Charles's law to find the final temperature (T2).

  • V1/T1 = V2/T2

 

Step 4: Make T2 the subject of the formula.

  • V1/T1 = V2/T2

  • V1 x T2 = V2 x T1

  • T2 = V2 x T1 / V1

  • T2 = (V2 x T1) ÷ V1

 

Step 5: Substitute values into the formula to find the final temperature (T2).

  • T2 = (20 x 310.15) ÷ 200

  • T2 = 6203 ÷ 200

  • T2 = 31.02K

 

Step 6: Think about your answer.

  • Notice that the final temperature (T2) decreases just as the final volume (V2) decreases. This is in accordance with Charles law.

Please read the introduction to gas laws here.

 

  • Question 3

What volume of gas will be changed to 250mL if its temperature changes from 5K to 10K.

  • Solution 

Step 1: List the known quantities from the question 

  • Initial Volume (V1) = ?

  • Initial Temperature (T1) = 5K

  • Final Volume (V2) = 250mL

  • Final Temperature (T2) = 10K

 

Step 2: Apply the formula for Charles's law to find the initial volume (V1).

  • V1/T1 = V2/T2

Please read on examples of Charles's law in real life here.

 

Step 3: Make V1 the subject of the formula.

  • V1/T1 = V2/T2

  • V1 x T2 = V2 x T1

  • V1 = V2 x T1 / T2

  • V1 = (V2 x T1) ÷ T2

 

Step 4: Substitute values into the formula to find the initial volume (V1).

  • V1 = (250 x 5) ÷ 10

  • V1 = 1250 ÷ 10

  • V1 = 125mL

 

Step 5: Think about your answer.

Notice that the initial volume (V1) decreases just as the initial temperature (T1) decreases. This is in accordance with Charles's law.

Please read on the kinetic theory of gases here.

 

  • Question 4

A noble gas occupies 3000mL of tube at a temperature of 373.15K. What volume will it occupy in litres at 100oC?

  • Solution

Step 1: List the known quantities from the question

  • Initial Volume (V1) = 3000mL

  • Initial Temperature (T1) = 373.15K

  • Final Volume (V2) = ?

  • Final Temperature (T2) = 100oC

 

Step 2: Covert the final temperature (T2) from degree celcius to kelvin.

  • T1 = 100 + 273.15 = 373.15K

 

Step 3: Since our answer (final volume) is required in litres, we should convert our initial volume from millilitres to litres by dividing it by 1000.

V1 = 3000 ÷ 1000 = 3L

 

Step 4: Apply the formula for Charles law to find the final volume (V2).

  • V1/T1 = V2/T2

 

Step 5: Make V2 the subject of the formula.

  • V1/T1 = V2/T2

  • V1 x T2 = V2 x T1

  • V1 x T2 / T1 = V2

  • V2 = (V1 x T2) ÷ T1

 

Step 6: Substitute values into the formula to find the final volume (V2).

  • V2 = (3 x 373.15) ÷ 373.15

  • V2 = 1119.45 ÷ 373.15

  • V2 = 3L

 

Step 6: Think about your answer.

  • Notice that the final volume (V2) equals initial volume (V1). This is so because there isn't any change in value of both temperatures. Final temperature and initial temperature are the same.

You can read on Avogadro's number explained with worked examples here.

 

  • Question 5

At -30oC, a gas has a volume of 500mL. What will be its new temperature if the volume decreases by 450mL?

  • Solution

Step 1: List the known quantities in the question.

  • Initial Volume (V1) = 500mL

  • Initial Temperature (T1) = -30oC

  • Final Volume (V2) = 500mL - 450mL -> 50mL

  • Final Temperature (T2) = Unknown

 

Step 2: Covert initial temperature (T1) to kelvin.

  • T1 = -30 + 273.15 = 243.15K

 

Step 3: Make T2 the subject of the formula. You can do this by cross multiplying.

  • V1/T1 = V2/T2

  • V1 x T2 = V2 x T1

  • T2 = V2 x T1 / V2

  • T2 = (V2 x T1) ÷ V1

 

Step 4: Substitute values into the formula to find the final temperature (T2).

  • T2 = (50 x 243.15) ÷ 500

  • T2 = 12157.5 ÷ 500

  • T2 = 24.32K

You can read on Graham's law of diffusion with worked examples here.

 

Step 5: Think about your answer.

  • Notice that the final temperature (T2) decreases just as the final volume (V2) decreases. This is in accordance with Charles's law.

Kindly share this article via the links below:


len


Please click here to contact Alfred if you require any of the following services:

  • If you need a standard website at an affordable price.

  • Online training on the academic subjects: biology, chemistry and basic science.

  • If you require an advanced smart school management system (web application) for your school.

Click here to read on Len Academy Smart School Software.


Please click here to follow Len Academy on Google News.


Please Register here or Login here to contribute to this topic by commenting in the box below.


Amazing facts in Chemistry

Plastic and Glass can decompose, but not in our lifetimes. It takes an average time of 450 years for plastics to decompose. As for the decomposition of glasses, it takes about 4,000 years

The only letters that failed to appear on the periodic table are letters:

J     &     Q

Gold and copper are the only two non-silvery colored metals.

Copper is the only metal that is naturally antibacterial. For this reason, some children utilize 'copper water bottles' in schools

Water freezes faster when it’s warm than when it’s cold

Most element in their pure state exists physically in different forms. For instance, pure carbon can exist as both diamond and graphite. This phenomenon is called allotropy

If you pour a handful of salt into a full glass of water, the water level will go down rather than overflowing the glass.

Similarly, if you mix half liter of water and half litre of alcohol, the total volume of the liquid will be les than one litre


Notable points in Chemistry

Below are the physical properties of metals:

  1. They exist in solid state.

  2. The have high densities.

  3. They are good conductors of heat and electricity.

  4. The have the ability to be polished, to glow, sparkle and reflect light.

  5. They can be bent, flattened and made into sheets called foils.

  6. They can be drawn into wires.

  7. Iron undergoes magnetism while most metals are poorly magnetized.

  8. They typical have high melting point.

  9. They generally have high boiling point.

  10. With the exception of lithium, sodium and potassium, most metals are generally hard.

  11. They have the ability to make sound when in contact with other objects or metals.

  12. Please read details on the physical properties of metals here

John Dalton is an English chemist who brought clarity into the composition of matter and the basis for their chemical reactions.

Below are Dalton's Atomic Theory:

  1. All matter consists of tiny indivisible particles called atoms.

  2. Atoms of the same element are identical to each other in every aspect because they have the same shape and mass, while atoms of different elements are different in all respect.

  3. Atoms are indestructible and can neither be created nor destroyed.

  4. Atoms of different elements can combine with each other in simple whole number ratios to form compounds.

  5. Atoms of the same element share similar physical and chemical properties. They can also combine in more than one ratio to form two or more compounds.

Meanwhile, understand that the above theories of John Dalton had been modified.

Please read on Dalton's atomic theory and its modifications here

Periodic Table - Len Academy

The periodic table, also called periodic table of elements or Mendeleev's table, is a table that shows an organized arrangement of the 118 chemical elements according to their atomic number.

Out of the 118 elements; elements 1 - 94 are present in nature while elements 95 - 118 are synthesized artificially.

The manner at which elements are arranged on this table reveals some similarities in their electronic configurations and chemical properties.

Please read on the periodic table of elements here.

A compound composed of iron (Fe) and oxygen (O) was analyzed and found to contain 69.94% iron and 30.06% oxygen. Find the empirical formula of the compound. (Molar mass of Fe=55.85, O=16)

  • Solution:

Step 1: Identify the given parameter from the question.

  • Fe = 69.94%,   O = 30.06%.

  • Empirical formula = Fe?O?

 

Step 2: Convert the percentages to gram. (just attribute grams to the %).

  • 69.94% = 69.94g while 30.06% = 30.06g

 

Step 3: To get the mole ratio of each element, convert the gram to moles using the formula (mole = mass/molarmass). Please merorize this formula because we always work with moles in emperical formula.

  • Mole of Fe: 69.94/55.85 = 1.252mol

  • Mole of O: 30.06/16 = 1.879mol

 

Step 4: Divide both sides by the smallest mole ratio.

  • Iron has the smallest mole ratio in our case, therefore: 1.252/1.252 = 1,    1.879/1.252 = 1.5

  • We now have the formula = Fe1O1.5

 

Step 5: Multiply each of the moles by the smallest whole number that will convert each into a whole number. (In our case, the number '2' is the smallest whole number that will make '1.5' and '1' whole numbers when multiplied by it.

  • For iron (Fe), we will have 1 x 2 = 2

  • For oxygen (O), we will have 1.5 x 2 = 3

 

Step 6: Write the empirical formula.

  • The empirical formula= Fe2O3

  • Iron(III)tetraoxosulphate(VI)

In chemistry, hydrocarbons can be classified as either aliphatic or aromatic. Recently, both classifications of hydrocarbon were based on their structure rather than their origin.

Aliphatic hydrocarbons are put into three main groups according to the types of bonds they possess. These are:

  1. Alkanes

  2. Alkenes

  3. Alkynes

They are shown in the image below:

Alkanes, Alkenes and Alkynes - Len Academy

It's important to note the followings:

  • Alkanes have single bonds (only) in their structures.

  • Alkenes always have a carbon-carbon double bond present in their structure.

  • Alkynes always have a carbon-carbon triple bond present in their structure.

 

Aromatic hydrocarbons are classified into:

  • Arenes: They contain benzene ring as a structural unit. Below is the structure of a benzene ring.

Benzene Ring - Len Academy

 

  • Nonbenzenoid aromatic hydrocarbons: They possess special stability but lack a benzene ring as a structural unit.