The answer is 1/16.
Half-life is the time required for the amount of a sample to half its value.
To calculate this, we will use the following formulas:
1.
![(1/2)^{n} = x](https://tex.z-dn.net/?f=%20%281%2F2%29%5E%7Bn%7D%20%3D%20x)
,
where:
<span>n - a number of half-lives
</span>x - a remained fraction of a sample
2.
![t_{1/2} = \frac{t}{n}](https://tex.z-dn.net/?f=%20t_%7B1%2F2%7D%20%3D%20%5Cfrac%7Bt%7D%7Bn%7D%20)
where:
<span>
![t_{1/2}](https://tex.z-dn.net/?f=%20t_%7B1%2F2%7D%20)
- half-life
</span>t - <span>total time elapsed
</span><span>n - a number of half-lives
</span>
So, we know:
t = 10 min
<span>
![t_{1/2}](https://tex.z-dn.net/?f=%20t_%7B1%2F2%7D%20)
= 2.5 min
We need:
n = ?
x = ?
</span>
We could first use the second equation to calculate n:
<span>If:
![t_{1/2} = \frac{t}{n}](https://tex.z-dn.net/?f=%20t_%7B1%2F2%7D%20%3D%20%5Cfrac%7Bt%7D%7Bn%7D%20)
,
</span>Then:
![n = \frac{t}{ t_{1/2} }](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7Bt%7D%7B%20t_%7B1%2F2%7D%20%7D%20)
⇒
![n = \frac{10 min}{2.5 min}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B10%20min%7D%7B2.5%20min%7D%20)
⇒
![n=4](https://tex.z-dn.net/?f=n%3D4)
<span>
</span>
Now we can use the first equation to calculate the remained fraction of the sample.
<span>
![(1/2)^{n} = x](https://tex.z-dn.net/?f=%20%281%2F2%29%5E%7Bn%7D%20%3D%20x)
</span>⇒
![x=(1/2)^4](https://tex.z-dn.net/?f=x%3D%281%2F2%29%5E4)
<span>⇒
![x= \frac{1}{16}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B1%7D%7B16%7D%20)
</span>
Answer:
The answer is
<h2>2.00 %</h2>
Explanation:
The percentage error of a certain measurement can be found by using the formula
![P(\%) = \frac{error}{actual \: \: number} \times 100\% \\](https://tex.z-dn.net/?f=P%28%5C%25%29%20%3D%20%20%5Cfrac%7Berror%7D%7Bactual%20%5C%3A%20%20%5C%3A%20number%7D%20%20%5Ctimes%20100%5C%25%20%5C%5C%20)
From the question
actual measurement = 46.37 g
error = 47.25 - 46.37 = 0.88
The percentage error of the measurement is
![P(\%) = \frac{0.88}{46.37} \times 100 \\ = 1.89777873...](https://tex.z-dn.net/?f=P%28%5C%25%29%20%3D%20%20%5Cfrac%7B0.88%7D%7B46.37%7D%20%20%5Ctimes%20100%20%5C%5C%20%20%3D%201.89777873...)
We have the final answer as
<h3>2.00 %</h3>
Hope this helps you
Answer:
OPTION (A) : Testing a rock sample for gold content
Explanation:
For testing a rock sample of gold content you will need a Chemist. To test the material, the sample is rubbed on black stone which will leave a mark on the stone. This mark is tested by applying aqua fortis i.e nitric acid on the mark. If the mark gets dissolve then the material is not gold. If the mark sustain the it is further tested by applying aqua regia i.e nitric acid and hydrochloric acid which will prove the sample is of gold if it gets dissolve on using hydrochloric acid. The purity of the sample can be checked by differing the concentration of the aqua regia and comparing it with the gold material of the known purity.
Answer:
A budget is an estimation of revenue and expenses over a specified future period of time and is usually compiled and re-evaluated on a periodic basis. Budgets can be made for a person, a group of people, a business, a government, or just about anything else that makes and spends money.
The answer is: A) Na3PO4 + 3KOH → 3NaOH + K3PO4, because K retains the same charge throughout the reaction.
This chemical reaction is double displacement reaction - cations (K⁺ and Na⁺) and anions (PO₄³⁻⁻ and OH⁻) of the two reactants switch places and form two new compounds.
Na₃PO₄ is sodium phosphate.
KOH is potassium hydroxide.
NaOH is sodium hydroxide.
K₃PO₄ is potassium phosphate.
According to the mass conservation law, there are same number of atoms on both side of balanced chemical reaction.