Figure 3 shows a graph of the volume of gas produced against time for a reaction between marble chips and hydrochloric acid. The curve rises steeply at first, then its gradient decreases until the line becomes flat at 60 seconds. A tangent has been drawn to the curve at t = 20 s; this tangent passes through the points (10 s, 10 cm3) and (30 s, 42 cm3).
Figure (to be drawn): A graph of volume of gas (cm3, y-axis, 0 to 60) against time (s, x-axis, 0 to 60). The curve starts at the origin, rises steeply, and gradually levels off to a flat line at a volume of 50 cm3 from t = 50 s onwards. A straight tangent line touches the curve at the point (20, 32) and is drawn extending through the points (10, 10) and (30, 42).
(a)Explain why a tangent must be drawn to calculate the rate of reaction at a specific point in time on this curved graph, rather than simply using two points on the curve.(2)
(b)Use the tangent shown in Figure 3 to calculate the rate of reaction at t = 20 seconds.(2)
(Total for Question 14 is 4 marks)