AS - skills Flashcards
Maths Skill: Drawing a Graph for Enzyme Rate Experiments
what are enzyme rate experiments?
experiments that are carried out to determine the effect of changing a particular factor on the rate of a reaction that is catalysed by an enzyme
which factors can be changed in an enzyme practical?
-temperature
-pH
-enzyme concentration
-substrate concentration
2 ways that ways of reaction can be measured…
-measuring how much of a product is made in a given time period
-measuring how much a substrate is broken down in a given time period
which graphs are used to present the results of enzyme rate experiments?
line graphs
where do variables stay on graphs?
independent variable on the x-axis
dependent variable on the y-axis
when are lines of best fit added to a graph?
if a trend can be identified
what can lines of best fits be used for?
-to interpolate (reading off values in between existing data points)
-to extrapolate (going beyond the range of existing data points to read off values)
multiple sets of data on a graph:
-it may be necessary to plot more than one set of data on the same graph (eg: temp)
-each line represents the data collected at a specific temperature
-when drawing a graph like this, make sure to clearly label each line
tips for plotting line graphs:
-choose scales that enable all data points to be plotted within the graph area
-label axes, with units included
-make graphs that fill the space the exam paper gives you
-draw a line (or curve) of best-fit to identify trends (smooth line with a balance of data points above and below the line)
-un some cases, the line of best fit should be drawn through the origin
Maths Skill: Using a Tangent to Find Initial Rate of Reaction
when are tangents needed for graphs?
-many enzyme rate experiments produce non-linear graphs, meaning they have an ever-changing gradient
↳ they are shaped this way because the reaction rate is changing over time
-in these cases, a tangent can be used to find the reaction rate at any one point on the graph
what is a tangent?
-a straight line that is drawn so it just touches the curve at a single point
-the slope of this tangent matches the slope of the curve at just that point
what is done with the tangent?
you find the gradient of the straight line (tangent) you have drawn
what is the initial rate of reaction?
the rate of reaction at the start of the reaction (time = 0)
steps of drawing a tangent:
1) make sure the line you draw is perfectly straight
2) choose the point where the tangent is to be taken and slowly line the ruler up to that point
3) draw a line that follows the general direction of the curve at that point
how to calculate a gradient:
y² - y^1 / x² - x^1
Maths Skill: Calculating pH
what can be used to calculate pH?
if the hydrogen ion (H+) concentration of a solution is known, the pH can be calculated using the equation
what formula is used to calculate pH?
pH = -log₁₀ [H⁺]
example:
the hydrogen ion concentration of a solution is 1.6 x 10^-4 mol dm-3. find the pH of this solution.
pH = -log₁₀ [H⁺]
pH = -log₁₀ x (1.6 x 10^-4) = 3.796
pH = 3.8
example:
the hydrogen ion concentration of a solution of sodium hydroxide is 3.5 x 10-11 mol dm-3. find the pH of this solution.
pH = -log₁₀ [H⁺]
pH = -log₁₀ (3.5 x 10^-11) = 10.456
pH = 10.5
exam tip:
-don’t forget the minus sign in the formula: pH = -log₁₀ [H⁺]
-pH must fall between 0 and 14 so if your answer is outside of this range, something has gone wrong!
-log’ is the same as log^10
Practical Skill: Control of Variables & Uncertainty
why are control variables important?
if these control variables are not kept constant, they could affect the results of the experiment
↳ this would make the results unreliable
what is uncertainty?
the amount of error your measurements might contain
how to calculate uncertainty?
uncertainty/measured value x 100
example:
in an enzyme-controlled reaction involving the breakdown of hydrogen peroxide by catalase, 50 cm³ of oxygen was produced, with an uncertainty value of 0.5 cm³ . calculate the percentage error of this measurement.
percentage error = (0.5 ÷ 50) x 100
percentage error = 0.01 x 100
percentage error = 1 %
in an enzyme rate experiment involving the breakdown of hydrogen peroxide by catalase, a student recorded that 10 cm³ of oxygen was produced in 5.245 seconds.
the student measured this using a stopwatch that counted in milliseconds. calculate the percentage error of the stopwatch measurements.
1) calculate the uncertainty value
-the stopwatch can measure to the nearest millisecond (0.001 second)
-this means the actual time taken could be up to 0.0005 seconds shorter or longer than this
-this means stopwatch measurements have an uncertainty of ± 0.0005s
2) calculate the percentage error
(0.0005 ÷ 5.245) x 100
0.000095 x 100
percentage error = 0.0095 % / 0.01 %