1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serggg [28]
1 year ago
13

A substance decays so that the amount a of the substance left at time t is given by: a = a0 ∙ (0.8)t where a0 is the original am

ount of the substance. what is the half-life (the amount of time that it takes to decay to half the original amount) of this substance rounded to the nearest tenth of a year?
Chemistry
1 answer:
Zolol [24]1 year ago
4 0

The half-life of the substance is 3.106 years.

<h3>What is the formula for exponential decay?</h3>
  • The exponential decline, which is a rapid reduction over time, can be calculated with the use of the exponential decay formula.
  • The exponential decay formula is used to determine population decay, half-life, radioactivity decay, and other phenomena.
  • The general form is F(x) = a.

Here,

a = the initial amount of substance

1-r is the decay rate

x = time span

The equation is given in its correct form as follows:

a = a_{0}×(0.8)^{t}

As this is an exponential decay of a first order reaction, t is an exponent of 0.8.

Now let's figure out the half life. Since the amount left is half of the initial amount at time t, that is when:

a = 0.5 a0

<h3>Substituting this into the equation:</h3>

0.5a_{0} = a_{0}×(0.8)^{t}

0.5 = (0.8)^{t}

taking log on both sides

t log 0.8 = log 0.5

t = log 0.5/log 0.8

t = 3.106 years

The half-life of the substance is 3.106 years.

To learn more about exponential decay formula visit:

brainly.com/question/28172854

#SPJ4

You might be interested in
Coffee is<br><br> homogeneous.<br><br> heterogeneous.
Basile [38]
The answer is homogeneous
3 0
3 years ago
Would the ph at the equivalence point be acidic, basic, or neutral for each given titration?.
Lesechka [4]

Answer:

At the equivalence point, equal amounts of H+ and OH– ions will combine to form H2O, resulting in a pH of 7.0 (neutral). The pH at the equivalence point for this titration will always be 7.0, note that this is true only for titrations of strong acid with strong base.

Explanation:

3 0
2 years ago
What is the concentration of hydronium ions and hydroxide ions
nikdorinn [45]
To find the concentration of hydronium ions, take 10 raised to the negative pH:
10^-9.56= 2.75 x10^-10M

To find the concentration of hydroxide ions, take 10 raised to the negative pOH: 10^-4.44 = 3.63 x10^-5M
6 0
3 years ago
Identify the smaller
pochemuha

Answer:

sub-particle      charge         mass

protons                  +1                 1

neutron                   0                 1

electron                - 1            negligible

protons and neutrons are found in the nucleus

electrons in the shells orbiting the nucleus

3 0
3 years ago
Energy is released into the cell by
dsp73

Answer:

cellular respiration

Explanation:

4 0
2 years ago
Other questions:
  • all of the rocks (A) are removed from a desert ecosystem, what would happen to the population of the rock dwelling lizards (B) a
    8·1 answer
  • In which part of the scientific method would you interpret data?
    13·2 answers
  • Who was on the grand committee
    7·1 answer
  • Identify the base in this acid-base reaction:
    15·1 answer
  • What is the mole ratio of oxygen to pentane
    9·2 answers
  • What is the volume of 40g of sugar given it’s listed density
    9·1 answer
  • I JUST GOT RICKROLLED WHAT DO I DO PLEEEAASSEEEE HELP
    13·2 answers
  • Analyze the data and determine the actual concentration of calcium chloride in the solution. Show all calculations and report in
    7·1 answer
  • How many grams of carbon should be burned in an excess of oxygen at stp to obtain 2. 21 l of carbon dioxide?.
    5·1 answer
  • 1. Which substance has the highest boiling point?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!