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  • kcse form 2 mathematics questions

The following set – up was made in an experiment by a group of form four students. The readings of the balance before and after experiment were indicated in the diagram below.

14/10/2021

Comments

 
The following set – up was made in an experiment by a group of form four students. The readings of the balance before and after experiment were indicated in the diagram below. Given that the initial temperature of water was 26.70C respectively. The specific heat capacity of water is 4200Jkg-1k-1
The following set – up was made in an experiment by a group of form four students. The readings of the balance before and after experiment were indicated in the diagram below. Given that the initial temperature of water was 26.7 degrees centigrade respectively. The specific heat capacity of water is 4200Jkg-1k-1

​Determine:

​a) Temperature change that occurred (1mk)

Picture


​b) Amount of ethanol used (1mk)

​10.5 – 1.0 = 9.5g

​c) Moles of ethanol used (2mks)

Picture

​d) Amount of heat gained by water (2mks)

Picture

​e) Molar enthalpy of combustion of ethanol (2mks)

Picture

​f) Use the following thermochemical processes to answer the questions that follow;

Picture

​i) Draw an energy level diagram representing the formation and combustion processes of propane, carbon and hydrogen (2mks)



​ii) Hence or otherwise, determine the heat of formation of propane (2mks)

Picture

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The table below gives the volume of hydrogen gas produced when different acids of 50cm3 were each reacted with 10cm piece of magnesium ribbon in a conical flask.

14/10/2021

Comments

 
The table below gives the volume of hydrogen gas produced when different acids of 50cm3 were each reacted with 10cm piece of magnesium ribbon in a conical flask.
The table below gives the volume of hydrogen gas produced when different acids of 50cm3 were each reacted with 10cm piece of magnesium ribbon in a conical flask.

a) On the grid provided, plot on the same axis, the graph of volume of gas produced against time (4mks)



In the graph plotted ; Award marks as follows:
  1. Plotting; award 2 marks for 
  2. Smooth curve
  3. Scale (x and y)

​b) From the graph, determine the rate of reaction of both acids at 55 seconds

​i) 1M sulphuric (VI) acid (1mk)

​Rate of 1M H2SO4 = 0.5 ± 0.05

​ii) 1M ethanoic acid (1mk)

​Rate of 1M ethanoic acid = 0.25 ± 0.01

c) The rate of reaction of H2SO4 is twice that of ethanoic acids. This is because H2SO4 is stronger while ethanoic acid is a weak acid.

Picture

​c) Explain the difference in the rate of evolution of the gas as determined in (b) above       (2mks)



d) Calculate the number of moles of hydrogen gas produced when 10cm magnesium ribbon is completely reacted with 1M sulphuric (VI) acid. (Molar gas volume = 24dm3 at r.t.p) (2mks)

​e) What mass of magnesium had therefore reacted? (Mg = 24) (2mks)

Picture

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Below is a simplified diagram of a Down’s cell used for the manufacture of Sodium metal. Study it and answer the questions that follow.

14/10/2021

Comments

 
Below is a simplified diagram of a Down’s cell used for the manufacture of Sodium metal. Study it and answer the questions that follow.
Above is a simplified diagram of a Down’s cell used for the manufacture of Sodium metal. Study it and answer the questions that follow.

​a) Name the substance the anode is made of (1mk)

​Graphite

​b) Explain your answer in (a) above (1mk)

​Reject carbon
​Graphite does not react with chlorine liberated at the anode 


​c) What is the role of the diaphragm in Down’s cell (1mk)

​To prevent metal and chlorine gas from recombining

d) In Down’s cell for the manufacture of Sodium metal, Calcium chloride salt is added to lower the melting point from 8000C to 6000C. Explain why it is necessary to lower the melting point (1mk)

​To reduce the cost of energy used to melt the sodium metal 

​e) Calculate the mass of sodium metal produced if a current of 50 amperes is passed through the molten Sodium chloride for two (2) hours (Na = 23, F = 96500C) (2mks)

Picture

​f) Below is a list of potential differences obtained when metal P, Q, R, S and T are used in the following electrochemical cell
Metal (s) / Metal ions // Copper (II) ions / copper (s) 

Below is a list of potential differences obtained when metal P, Q, R, S and T are used in the following electrochemical cell
Below is a list of potential differences obtained when metal P, Q, R, S and T are used in the following electrochemical cell

​i) Which metal is likely to be Copper. Explain (2mks)

​R

​ii) Identify the strongest reducing agent (1mk)

​P


​iii) Which two half – cells would be combined to produce the highest voltage? (1mk)

​P and T

​iv) Give a cell representation of the cell in F (iii) above. (2mks)

​P/p ions // T ions /T (s) 

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The empirical formula of a hydrocarbon is (CH2). It has a density of 0.001167g/cm3 at room temperature and pressure. (Molar gas volume at r.t.p is 24dm3)

13/10/2021

Comments

 

The empirical formula of a hydrocarbon is (CH2). It has a density of 0.001167g/cm3 at room temperature and pressure. (Molar gas volume at r.t.p is 24dm3)

​a) Determine the molecular formula of the hydrocarbon (3mks)

Determine the molecular formula of the hydrocarbon


b) Draw the structural formula of the hydrocarbon (1mk)

Draw the structural formula of the hydrocarbon

​c)  Ethene gas burns in Oxygen to form Carbon (IV) oxide and water.

​i) Write an equation for the reaction between ethane gas oxygen gas (1mk)

Picture

ii) 15cm3 of ethene gas were mixed with 50cm3 of oxygen gas and the mixture was ignited into complete combustion. Calculate the volume of excess unreacted gas  (3mks)

Picture

​d) What happens when ethene gas is bubbled through bromine water? (2mks)

  • Bromine water is decolourised
  • Ethene gas is unsaturated hydrocarbon


​e) Give any two uses of ethene gas (2mks)

​Uses of Ethene gas
  • Manufacture of ethanol
  • Manufacture of polythene 
  • Ripening of fruits
  • Laboratory preparation of ethane -1,2-diol used as coolant
  • Manufacture of detergents
(award 1mk for any one correct)

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The apparatus shown below were used for the preparation of hydrogen sulphide gas in the laboratory

13/10/2021

Comments

 
The apparatus shown below were used for the preparation of hydrogen sulphide gas in the laboratory
The apparatus shown above were used for the preparation of hydrogen sulphide gas in the laboratory


​​a) Name;

​i) Substance V (1mk)

​V is Dilute hydrochloric Acid 

​ii) Solid X (1mk)

​W is Iron (ii) Sulphide 

​b) Write an equation for the preparation of hydrogen sulphide (1mk)

Write an equation for the preparation of hydrogen sulphid

​c) What property of the gas enables it to be collected by the method shown in the diagram? (1mk)

​It is denser than air 

​d) What is the purpose of the water in the second flask? (1mk)

​To absorb acid vapour (HCl) 

​e) What precaution should be taken when preparing the gas? (1mk)

​The gas should be prepared in a fume chamber or in the open 

​f) Explain the observations made when dry hydrogen sulphide is exposed to wet Lead (II) acetate paper (2mks)

Black colour observed; black lead (ii) sulphide is formed.

​g) State the observation that would be made when hydrogen sulphide gas is bubbled through acidified Potassium dichromate (VI) solution (1mk)

  • Yellow deposit of sulphur 
  • Colour change from orange to green 


​h) Explain why it is not advisable to dispose off hydrogen sulphide gas by burning (1mk)


SO2 is formed causing acid rain

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Comments

Use the information in the table below to answer the questions that follow

13/10/2021

Comments

 
Use the information in the table below to answer the questions that follow
Use the information in the table above to answer the questions that follow

​a) i) Are the members in this group likely to be conductor or non – conductors? (1mk)

  • Conductors
    Reasons:
    They are metals
    They larger atomic radius and  therefore have free (delocalised) electrons


ii) Which element would have the lowest atomic number? Explain. (1mk)

  • F
    ​Reasons:
    ​It has the smallest atomic radius 

​b) The grid below represents part of the periodic table. Study it and answer the questions that follow. (The letters are not the actual symbols of the elements)

b) The grid below represents part of the periodic table. Study it and answer the questions that follow. (The letters are not the actual symbols of the elements)
b) The grid above represents part of the periodic table. Study it and answer the questions that follow. (The letters are not the actual symbols of the elements)

​i) Select the element in period three which has the shortest atomic radius. Give a reason for your answer. (2mks)

  • Z – Atomic radius decrease across the period due to increase in nuclear force of attraction (effective nuclear charge)

​ii) Using dots (•) and crosses (x) to represent outermost electrons, draw a diagram to show the bonding in the compound formed when chlorine reacts with element X (1mk)

Using dots (•) and crosses (x) to represent outermost electrons, draw a diagram to show the bonding in the compound formed when chlorine reacts with element X
½mk @ x 2 = 1mk Penalize fully if dots or crosses alone are used


​iii) When three liters of chlorine gas were completely reacted with element Y, 11.85g of the product were formed. Calculate the relative atomic mass of element Y. (3mks)

​(R.A.M of chlorine = 35.5, molar gas volume = 24 liters) 
When three liters of chlorine gas were completely reacted with element Y, 11.85g of the product were formed. Calculate the relative atomic mass of element Y.

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Comments

Use the flow chart below to answer the questions that follow

13/10/2021

Comments

 
Use the flow chart below to answer the questions that follow
Use the flow chart above to answer the questions that follow


​​a) Name the following;

​i) Gas L (1mk)

​Gas L – Carbon (IV) Oxide

​ii) Gas H (1mk)

​Gas H – Hydrogen 

​iii) K (1mk)

​K – Propane 

​​b) Name the processes involved in the following steps

​i) Step I (1mk)

Step I : Hydrogen 

​ii) Step II (1mk)

​Step II – Neutralization

​​iii) Step III (1mk)

​Step III – Substitution 

​c) Draw the structure of compound E (1mk)

Draw the structure of compound E

​d) Write a chemical equation for the complete combustion of substance F (1mk)

rite a chemical equation for the complete combustion of substance F

​e) Name the condition and reagents in step III 

​i) Condition (1mk)

​U.V light  

​ii) Reagent (1mk)

​Chlorine

​f) Calculate the mass of salt Q that would be formed by using 21.9kg of G when it reacts with excess sodium hydroxide (2mks)
(C = 120, H = 1.0, Na = 23.0, O = 16.0)

Calculate the mass of salt Q that would be formed by using 21.9kg of G when it reacts with excess sodium hydroxide


​g) i) Draw the structure of polymer D (1mk)

Draw the structure of polymer D

​ii) State one use of the above polymer (1mk)

  1. Mouldings 
  2. Plastic ropes / Synthetic fibres 
  3. Use in films

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Comments

Differentiate between empirical and molecular formula.

11/10/2021

Comments

 

​Differentiate between empirical and molecular formula (2mks)

Empirical formula show the simplest whole number ration in which atoms combine to for a compound while molecular formula shows actual number of each kind of atoms present in a molecule of a compound.

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Use the information below to answer the questions that follow Ethanol is formed as shown below

11/10/2021

Comments

 

​Use the information below to answer the questions that follow Ethanol is formed as shown below

Picture

​Draw the energy cycle diagram and for the formation and combustion of ethanol and calculate the heat of formation of ethanol (3mks)

Picture
Picture

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A volume of 80cm3 of a mixture of propane (C3H8) and oxygen were ignited in an experiment. The products were cooled and passed through an aqueous sodium hydroxide. The final volume was reduced by 30cm3

11/10/2021

Comments

 

A volume of 80cm3 of a mixture of propane (C3H8) and oxygen were ignited in an experiment. The products were cooled and passed through an aqueous sodium hydroxide. The final volume was reduced by 30cm3

a) Write the equation for the combustion of propane (1mk)

b) Determine the volume of;

i) The component of the original mixture (2mks)

ii) Residual oxygen (1mk)

Picture

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Comments

State three differences between chemical and nuclear reactions.

11/10/2021

Comments

 

​a) State three differences between chemical and nuclear reactions. (3mks)

Chemical reaction

Nuclear reaction

  • It takes place on the outer

  • Take place within the nucleus

  • Heat energy released is less

  • Heat energy released is large

  • Involves electrons

  • Involves neutrons and electrons

  • Affected by environmental factors

  • No affected by the environmental factors

  • such as temperature and pressure


(any three 3mks)

b) Study the figure below and answer the questions that follow 

Study the figure below and answer the questions that follow

Identify the radiations A, B and C (3mks)

  • A-Gamma rays
  • B-Beta rays
  • C-Alpha rays

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Comments

RCOO – Na+ and RCH2OSO3 – Na+ represent two types of cleansing agents

11/10/2021

Comments

 

RCOO – Na+ and RCH2OSO3 – Na+ represent two types of cleansing agents

​a) Name the class of cleansing agent to which each belongs (1mk)

Picture

​b) Which one of the two cleansing agents is likely to pollute the environment. Explain. (2mks)

RCH2OSO3-Na+

Because it contain long chains of alkylbenzene and sulphanate which is difficult to be broken by bacteria action


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Give a reason why ethanoic acid has a higher boiling point than ethanol which has the same number of Carbon atoms

11/10/2021

Comments

 

a) Give a reason why ethanoic acid has a higher boiling point than ethanol which has the same number of Carbon atoms (1mk)

​Ethanoic acid form hydrogen bond which are stronger than those in ethanol

​b) Draw the structural formula of ethanoic acid (1mk)

Picture

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Comments

Name one chief ore of copper and give its formula

11/10/2021

Comments

 

​a) Name one chief ore of copper and give its formula (2mks)

Copper pyrites -CuFeS2 (any one 1mk)

Cuprite – Cu2O2

​Calculate the mass of copper that would be deposited on the cathode when a steady current of one ampere flows for 20 minutes through copper (II) sulphate solution (Cu = 63.5; Faraday Constance = 96500Cmol-1) (3mks)

Picture

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Comments

The cell convention for an electrochemical cell is shown below

11/10/2021

Comments

 

​The cell convention for an electrochemical cell is shown below

Picture

​a) Name two substances that can be used as electrolytes in the above cell (2mks)

Zinc sulphate or any other solution with zinc ions 

​b) Which of the electrodes is the anode? (2mks)

​Lead electrode

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    chemistry topical questions and answers for kcse exams

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