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, we need to use the given lactose concentration ([s]) and the respective rate of lactose consumption (v) values.

First, let's define the equations used for the calculations:

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

Now, let's calculate 1/v and 1/[s] for the first two entries:

For the first entry (lactose concentration = 1 m/M, v = 10.0 u mol/min):

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

For the second entry (lactose concentration = 2 m/M, v = 16.7 u mol/min):

1/v = 1/16.7 ≈ 0.0599 min/umol
1/[s] = 1/2 ≈ 0.5 m/M

To continue, repeat these calculations for the remaining entries using the given lactose concentration and rate of lactose consumption values.

Regarding the graphing question, the reciprocal of the reaction velocity (1/v) is typically plotted on the y-axis, while the reciprocal of the substrate concentration (1/[s]) is usually plotted on the x-axis. Therefore, 1/v should be plotted on the y-axis, and 1/[s] should be plotted on the x-axis.