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charle [14.2K]
3 years ago
9

the radius of the aluminum atom is 143pm. the radius of the aluminum atom is 54pm. by what percentage did the radius change as t

he ion formed?

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0

Answer:

There was 62.23% change in radius as the ion formed.

Step-by-step explanation:

Given

Radius of Aluminium (Al) atom  = 143 pm

Radius of Aluminium (Al^{3+}) atom  = 54 pm

Change is the radius =  Radius of Aluminium (Al) atom - Radius of Aluminium (Al^{3+}) atom = 143 -54 = 89

Now to find % Change is the radius we will divide Change is the radius by Radius of Aluminium (Al) atom and multiply by 100 we get

% Change is the radius = \frac{\textrm{Change is the radius}}{\textrm{Radius of Aluminium (Al) atom}} \times 100 = \frac{89}{143}\times100= 62.23\%

Hence there was 62.23% change in radius as the ion formed.

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Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.
Darina [25.2K]

Answer:

There is no solution for the given radical equation.

x = 225/16 is an extraneous solution.

Step-by-step explanation:

The given equation is  

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Substituting back the value of x in original equation to check the extraneous solution.

 

Since -18≠ 12. Hence, the value of x does not satisfy the equation.

Therefore, x = 225/16 is an extraneous solution.

Step-by-step explanation:

4 0
3 years ago
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Helga [31]

Answer:

3

Step-by-step explanation:

7.2 ÷ 2.4 = 3

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Ann [662]
I believe the answer is b
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