Question

If a “unit” is defined as the amount of enzyme needed to digest 1μg of DNA in 1 hour at 37°C, how many units would it take to digest 10 ug of DNA in 30 min?

Answer 1

Answer:

20 units.

Explanation:

A unit can be defined as the amount of the enzyme required to digest the DNA of 1μg in 1 hour at the 37°C temperature.

1 unit = 1 μg DNA in 1 hour or 60 minutes.

The units required to digest the 10 μg of DNA in 30 min.

Let the number of units required be X.

unit      DNA amount    Time (min)

1            1                        60

X          10                      30

We can write,

$\frac{1}{\frac{1}{60}}=\frac{x}{\frac{10}{30}}$

$\frac{60}{1}=\frac{30x}{10}$

$\implies x=\frac{600}{30}=20$

X = 20 unit.

Thus, the number of units required to digest 10μg of DNA is 20 units.

Answer 2

Answer:

1U or 1 Unit is defined as the ability of the enzyme to catalyse a substrate per minute. The units would enzymes take to digest 10 microgram of DNA in 30 minutes is 20 Units.

Explanation:

At room temperature, amount of substrate catalysed by an enzyme in a minute is known as Unit.

Given in the question,

1 unit = 1 microgram DNA in 60 minutes.

The units required to digest 10 micrograms of DNA in 30 minute can be calculated by:

Let the unit be 'x.'

1 unit = 1 DNA = 60 minutes

x unit = 10 DNA = 30 minutes

Thus, it can be solved by unitary method:

$\begin{aligned} \dfrac{1}{\frac{1}{60} }&=\dfrac{x}{\frac{10}{30}} \\\\\dfrac{60}{1} &= \dfrac{30x}{10}\\\\x& =\dfrac{600}{30}\\\\&=20 \text {Units} \end {aligned}$

Thus, the 20 units will be required by 10 microgram of DNA to be digested by enzymes in 30 minutes.

For Further Reference:

https://brainly.com/question/24499413?referrer=searchResults