To determine v max and km of Beta-galactosidase for lactose, the same amount of enzyme (1 ug per tube) was incubated with a series of lactose concentrations under conditions where product concentrations remained negligible. At each lactose concentration, the initial reaction velocity was determined by assaying for the amount of lactose remaining at the end of the assay.

Question: Calculate 1/v and 1/[s] for each entry. (Please note the equations used.)

Lactose concentration (m/M) (believe is [s])
1
2
4
8
16
32
Rate of lactose consumption (u mol/min) (believe is v)

10.0
16.7
25.0
33.3
40.0
44.4

(Please show me how to do aleast the first two. And the formulas used.)

Question: When graphing is 1/v on the y-axis and 1/[s] on the y axis?

To calculate 1/v and 1/[s] for each entry, you need to use the initial reaction velocities (v) and the lactose concentrations ([s]). The formulas used are as follows:

1/v = 1 / (rate of lactose consumption)
1/[s] = 1 / (lactose concentration)

Let's calculate the values for the first two entries:

Lactose concentration ([s]): 1 m/M
Rate of lactose consumption (v): 10.0 u mol/min

1/v = 1 / (10.0) = 0.1 min/umol
1/[s] = 1 / (1) = 1 m/M

So for the first entry, the values are:
1/v = 0.1 min/umol
1/[s] = 1 m/M

Now, let's calculate the values for the second entry:

Lactose concentration ([s]): 2 m/M
Rate of lactose consumption (v): 16.7 u mol/min

1/v = 1 / (16.7) = 0.06 min/umol
1/[s] = 1 / (2) = 0.5 m/M

So for the second entry, the values are:
1/v = 0.06 min/umol
1/[s] = 0.5 m/M

Regarding your second question, when graphing, the convention is to place the dependent variable on the y-axis and the independent variable on the x-axis. In this case, since 1/v is the dependent variable and 1/[s] is the independent variable, you would plot 1/v on the y-axis and 1/[s] on the x-axis.