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WAEC Chemistry 2011 Theory — Question 1

Question 1 of 31 from the West African Examinations Council (WAEC) Chemistry 2011 Theory paper, with the correct answer and a full explanation.

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PART B SECTION I (FOR ALL CANDIDATES) 1(a) The table below gives the volume/pressure data for a particular sample of a gas at a given temperature. Volume/dm³ (V): 4.00, 2.00, 1.00 | Pressure/atm (P): 1.00, 2.00, 4.00 (i) Deduce a mathematical relationship between volume (V) and pressure (P). (ii) Name the law that can be deduced from the data. (iii) Calculate the pressure of the gas when the volume is 3.20 dm³.

Model answer

(i) As the volume decreases, the pressure increases - i.e. there is an inverse relationship between the two: V∝1/P, i.e. V=K/P, so K=PV. (ii) The table portrays Boyle's law. (iii) P1=1atm, V1=4.00dm³, V2=3.20dm³. Using P1V1=P2V2: 1 x 4 = P2 x 3.20, so P2 = 4/3.20 = 1.25 atm.

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