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kirill [66]
3 years ago
12

Suppose that you take 200 mg of an antibiotic every 8 hr. The​ half-life of the drug is 8 hr​ (the time it takes for half of the

drug to be eliminated from your​ blood). Use infinite series to find the​ long-term (steady-state) amount of antibiotic in your blood exactly.
Chemistry
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

600 mg

Explanation:

The initial amount of the drug = 200 mg

The half-life of the drug = 8 hrs

It means that:-

After 6 hours, the concentration becomes :- \frac{200}{2} mg

After 12 hours, the concentration becomes :- \frac{200}{4} mg

After 18 hours, the concentration becomes :- \frac{200}{8} mg

And so on...

Thus,

After infinite time = 200+\frac{200}{2}+\frac{200}{4}+\frac{200}{8}+..

Thus,

After infinite time = 200\times (1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+..)

The sum of the infinite series is:- 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+.. = \frac{1}{1+\frac{1}{2}}=2

So,

<u>After infinite time = 200\times 2 mg = 600 mg</u>

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3 years ago
What is one way that electric charges are different from magnetic poles?
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The answer is A. As the first statement is a true statement. Hope this help you
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An atom of a particular element is traveling at 1.00% of the speed of light. The de Broglie wavelength is found to be 3.31 × 10-
ExtremeBDS [4]

Answer:

The given atom is of Ca.

Explanation:

Given data:

Speed of atom = 1% of speed of light

De-broglie wavelength = 3.31×10⁻³ pm (3.31×10⁻³ / 10¹² = 3.31×10⁻¹⁵ m)

What is element = ?

Solution:

Formula:

m = h/λv

m = mass of particle

h  = planks constant

v = speed of particle

λ = wavelength

Now we will put the values in formula.

m = h/λv

m = 6.63×10⁻³⁴kg. m².s⁻¹/3.31×10⁻¹⁵ m ×( 1/100)×3×10⁸ m/s

m = 6.63×10⁻³⁴kg. m².s⁻¹/ 0.099×10⁻⁷m²/s

m = 66.97×10⁻²⁷ Kg/atom

or

6.69×10⁻²⁶ Kg/atom

Now here we will use the Avogadro number.

The given problem will solve by using Avogadro number.

It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance.

The number 6.022 × 10²³ is called Avogadro number.

For example,

18 g of water = 1 mole = 6.022 × 10²³ molecules of water

Now in given problem,

6.69×10⁻²⁶ Kg/atom × 6.022 × 10²³ atoms/ mol × 1000 g/ 1kg

40.3×10⁻³×10³g/mol

40.3  g/mol

So the given atom is of Ca.

8 0
3 years ago
Find the pH of 8.4x10^-8 M HCl. Report the answer to the hundredths place.
Hunter-Best [27]

Answer:

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Explanation:

HCl ---------> H^+ + Cl^-

It's an acid, we are using this formula

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It can also be solved as

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-0.924+8

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8 0
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Sedbober [7]

Answer:

Conservation of mass can be checked in an experiment . There are three steps to do it in a best way:

1. Weigh all the equipment and materials required in the experiment before the experiment.

2. Avoid spillage and evaporation during the experiment.

3. Weigh all the equipment and materials after the experiment.

If the mass is conserved then weight from step 1 is equal to weight from step

3 0
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