What is the half‑life of an isotope that decays to 25% of its original activity in 85.8 h

Answers

Answer 1

Answer:

42.9 h

Explanation:

From the question given above, the following data were obtained:

Original amount (N₀) = 100%

Amount remaining (N) = 25%

Time (t) = 85.8 h

Half-life (t½) =?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Original amount (N₀) = 100%

Amount remaining (N) = 25%

Number of half-lives (n) =?

N = 1/2ⁿ × N₀

25 = 1/2ⁿ × 100

Cross multiply

25 × 2ⁿ = 100

Divide both side by 25

2ⁿ = 100/25

2ⁿ = 4

Express 4 index form with 2 as the base

2ⁿ = 2²

n = 2

Thus, two half-lives has elapsed.

Finally, we shall determine the half-life of the of the isotope. This can be obtained as follow:

Time (t) = 85.8 h

Number of half-lives (n) = 2

Half-life (t½) =?

n = t / t½

2 = 85.8 / t½

Cross multiply

2 × t½ = 85.8

Divide both side by 2

t½ = 85.8 / 2

t½ = 42.9 h

Thus, the half-life of the of the isotope is 42.9 h


Related Questions


Determine the number of atoms in 4.60 g gold.

Answers

Answer:

N(Au) = 1,20 × 10²²

Explanation:

1) n(Au) = m ÷ M = 4.60 g ÷ 197 g/mol = 0,02 mol

2) N(Au) = n(Au) × N(a) = 0,02 × 6.02*10²³ = 1,20 × 10²²

LID
Question 3
20 pts
How many atoms of aluminum can be produced by the decomposition of 31.5 g of
Al2O3?
(Hint: Write and balance the equation first.)
09.30 x 10 22 Al atoms
1.86 x 1023 Al atoms
O 7.44 x 1023 Al atoms
O none of these
O 3.72 x 1023 Al atoms



I need help

Answers

Answer:

See Down

Explanation:

2Al2O3 = 4Al + 3O2 (Decomposition)

31.5/101.961g = 0.3089mol

(0.3089mol/2) * 4 = 0.61788 mole of Al

0.61788 mole * 6.022x10^23 atoms/mol = Your answer

Explain the 3 steps required to determine the molecular formula.

Answers

Answer:

The steps involved in determining a Molecular Formula are: Find the mass of the empirical formula. Divide the molecular mass by the mass of the empirical formula. Multiply each subscript in the empirical formula by the answer.

Explanation:

The point where ground water reaches the surface and pours out is called a summer? true or false

Answers

Answer:

False

Explanation:

Groundwater and surface water have a relationship.

Groundwater is the water that is contained in a subsurface layer of an underlying soil/rock whereas surface water is that found in a lake, river or some other surface cavities.

However, when groundwater is discharged to surface water bodies, it is said to be surface water. Thus the statement asked is false.

Which of the following is true regarding the difference between velocity and speed? *

Velocity can be negative whereas speed can only be positive.
Velocity includes a direction whereas speed is a numerical value only.
Velocity relies on displacement whereas speed relies on distance.
All of the above.

Answers

Answer:

All of the above

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.

Explanation:

Hope it is helpful.....

A car travels 75 mi/hr. How many hours will it take to travel 837 km? (Pick the answer closest to the correct answer,

1.61 km=1 mile)

Answers

Answer:

6.9 hours

Explanation:

In order to solve this problem we'll convert 837 km to miles (another option would be to convert 75 mi/hr to km/hr). To make said conversion we'll use the given conversion factor:

837 km * [tex]\frac{1mi}{1.61km}[/tex] = 519.88 mi

Finally we calculate the time required to travel said distance at a constant speed of 75 mi/hr:

519.88 mi ÷ 75 mi/hr = 6.9 hr

The amount of time it would take to travel 837 km is equal to 7 hours.

Given the following data:

Speed = 75 mi/hr.Distance = 837 km.

To determine the amount of time it would take to travel 837 km:

How to calculate time.

First of all, we would convert the value of the distance in kilometers to miles as follows:

Conversion:

1.61 km = 1 mile

837 km = X mile.

Cross-multiplying, we have:

[tex]X=\frac{837}{1.61}[/tex]

X = 519.88 miles.

Mathematically, time is given by this formula:

[tex]Time = \frac{distance}{speed}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Time = \frac{519.88}{75}[/tex]

Time = 6.93 7 hours.

Read more on time here: https://brainly.com/question/12199398

Question 6: Describe an experiment for determining the position in the reactivity series for
copper, iron and magnesium. Include safety measures and the equipment you would use (5
Marks) *
(5 Points)
Enter your answer
BI
(hp)

Answers

Answer: BI

because of rection progress

Explanation:

A 150.0mL sample of an aqueous solution at 25C contains 15.2mg of an unknown nonelectrolyte compound. If the solution has an osmotic pressure of 8.44 torr, what is the molar mass of the unknown compound?

Answers

Answer:

MM = 225.11 g/mol

Explanation:

In this case, let's analyze the data.

We have a 15.2 mg of an unknown electrolyte in 150 mL of solution. The osmotic pressure is 8.44 Torr, and we want the molecular mass of the unknown.

The osmotic pressure can be calculated using the following expression:

π = CRT   (1)    

π: osmotic pressure (8.44 Torr * 1 atm / 760 Torr = 0.011 atm)

C: Concentration of the unknown in the solution

R: universal constant of gases (0.082 L atm / K mol)

T: temperature in Kelvin (25 + 273 = 298 K)

From this expression, we can either solve for C, and then use another expression to calculate the molecular mass, or we can just replace the expressions in the above formula, to get the direct molecular mass. In this case, we'll follow the second method.

Concentration or molarity of a substance can be calculated using:

C = moles / V  (2)

And moles can be calculated using this expression:

moles = m / MM   (3)

Replacing (3) in (2), and then in (1) we have:

C = m / MM * V

π = m * RT / MM * V   (4)

and now, we can solve for MM:

MM = mRT / π V  (5)

Now, we just need to replace the given data into the above expression to get the value of the molecular mass:

MM = (15.2 / 1000) * 0.082 * 298 / 0.011 * 0.150

MM = 225.11 g/mol

Hope this helps

Some instruments differentiate individual quanta of electromagnetic radiation based on their energies. assume such an instrument has been adjusted to detect quanta that have 3.50× 10–16 j of energy. what is the wavelength of the detected radiation? give your answer in nanometers.

Answers

Answer:

5.68×10¯¹⁰ m

Explanation:

From the question given above, the following data were obtained:

Energy (E) = 3.50×10¯¹⁶ J

Wavelength (λ) =?

Energy (E) and wavelength (λ) are related according to the following formula:

E = hv/λ

Where

E => is the energy

h => is the Planck's constant

v => is the velocity of electromagnetic radiation

λ => is the wavelength of the radiation.

With the above formula, we can obtain the wavelength of the radiation as follow:

Energy (E) = 3.50×10¯¹⁶ J

Planck's constant (h) = 6.63×10¯³⁴ Js

Velocity (v) = 3×10⁸ m/s

Wavelength (λ) =?

E = hv/λ

3.50×10¯¹⁶ = 6.63×10¯³⁴ × 3×10⁸ / λ

3.50×10¯¹⁶ = 1.989×10¯²⁵/ λ

Cross multiply

3.50×10¯¹⁶ × λ = 1.989×10¯²⁵

Divide both side by 3.50×10¯¹⁶

λ = 1.989×10¯²⁵ / 3.50×10¯¹⁶

λ = 5.68×10¯¹⁰ m

Thus, the wavelength of the radiation is

5.68×10¯¹⁰ m

What is the independent and dependent variable?

a. It is likely that you have observed a sealed soda can left out in a hot car expands. Based on the notion that gas escapes a liquid at high temperatures, a student chose to investigate the amount of dissolve oxygen in a local pond over a 12-month period.
b. Sulfur dioxide is a commonly used preservative in wine as it prevents oxidation and bacterial growth. A wine producer would like to explore if pH affects the solubility of SO2 in the wine, and therefore decides to measure the SO2 in the wine solution over a range of pH values.
c. The H2SO4 electrolyte concentration impacts the performance of lead-acid batteries, commonly used as car batteries. A researcher wishes to determine the optimal H2SO4 concentration for the best performance of the battery, as measured by the voltage output.

Answers

Answer:

The independent and dependent variable for the following are as follows:

a. Temperature and amount of dissolved oxygen

b. pH and SO2 solubility/amount

c. H2SO4 concentration and voltage output/performance of battery

Explanation:

In an experiment;

- Independent variable is the variable that the experimenter manipulates or changes in order to get a measurable response.

- Dependent variable is the variable that the experimenter measures based on its response to changes made to the independent variable.

A). In this experiment, a student is trying to investigate the amount of dissolved oxygen in a local pond in response to changes in temperature. Hence, the independent variable is the TEMPERATURE while the dependent variable is the AMOUNT OF DISSOLVED OXYGEN.

B). In this experiment, a wine producer would like to explore if pH affects the solubility of SO2 in the wine by measuring the amount of SO2 in the wine solution over a range of pH values. Hence, the independent variable is the pH while the dependent variable is the SO2 SOLUBILITY OR AMOUNT.

C). In this experiment, a researcher wishes to determine the optimal H2SO4 concentration for the best performance of the battery, as measured by the voltage output. Hence, the independent variable is the CONCENTRATION OF H2SO4 while the dependent variable is the VOLTAGE OUTPUT or PERFORMANCE of the battery.

List a couple general characteristics of primary consumers and list a few examples.

Answers

Primary consumers operate one level up from plants and eat only plants

small crustaceans as primary consumers

antelopes as primary consumers

mice are the primary consumers

Which of the following devices function on redox reaction ... Drycell, car battery and electric generator

Answers

Answer:

Drycell and car battery

Explanation:

Is it only one answer because I think both of these are redox reactions.

Which type of solution below has a cloudy appearance? (Choose all that apply)
a. Colloids
b. Suspensions
c. Solutions
d. Alloys

Answers

B. Suspensions is the answer

The type of solutions which are appearing cloudy are called colloids. Therefore, option a is correct.

What are colloids ?

Colloids are mixtures in which particles of one substance are evenly dispersed throughout another substance, creating a stable mixture. The particles in a colloid are larger than those found in a solution, but smaller than those found in a suspension.

Colloids can be found in various states of matter, including solid, liquid, and gas, and they can be formed from a wide range of substances, such as polymers, metals, and biological molecules.

One important characteristic of colloids is their ability to scatter light. This phenomenon, known as the Tyndall effect, occurs when light passes through a colloid and is reflected by the particles, causing the mixture to appear cloudy or hazy.

Colloids also exhibit unique properties related to their size and shape, such as viscosity, surface tension, and Brownian motion. They appear cloudy in nature.

Find more on colloids:

https://brainly.com/question/25118068

#SPJ3

If 25.00 mL of 6.00 M HCl is transferred by pipet into a volumetric flask and diluted to 5.00 L, what is the molarity of the diluted HCl?

Answers

Answer:

0.03 M

Explanation:

The computation of the molarity of the diluted HCI is given below:

As we know that

(M1) × (V1) = (M2) × (V2)

Now

(M2) = {(M1) × (V1)} ÷ (V2)

or

Molarity of the diluted HCl,(M2) is

= {6 × 25} ÷ 5000

= 0.03 M

If you have 0.36mol C that reacts with excess CuO, how many atoms do you have of Cu?

Answers

Yeah I did it on egenugity , it’s c

What is the mole percent of ethanol (C2H5OH), which consists of 71.0 g of ethanol for every 18.6 g of water present?A. 87.7%.B. 22.1%.C. 26.5%.D. 73.5%.E. 71.0%.

Answers

Answer:

Mole percent of Ethanol = 0.5986 * 100 = 59.86%

Explanation:

Mole percent is the percentage of the total moles that is of a particular component.

We have to covert the ethanol and water to moles. This is given by the equation;

Number of moles =  Mass / Molar mass

Ethanol;

Number of moles = 71 / 46.07  = 1.5411 mol

Water;

Number of moles = 18.6 / 18  = 1.033 mol

Total mol = 1.5411 mol + 1.033 mol =  2.5741 mol

Mole percent of Ethanol = Number of moles /(Ethanol) / Total moles   * 100

Mole percent of Ethanol =  1.5411 mol / 2.5741 mol   * 100

Mole percent of Ethanol = 0.5986 * 100 = 59.86%

How many mL of 14.5M lithium carbonate solution must be used to deliver 4.20 g of lithium ion

Answers

Answer:

10.3 g Li) / (6.9410 g Li/mol) x (1 mol Li3PO4 / 3 mol Li) / (0.750 mol/L Li3PO4) = 0.6595 L = 660. mL

Explanation:

4. Consider the following reaction:
A student performs a neutralization reaction at 298 K according to the following reaction:
NaHCO3 (8) + HCH,O2 (aq) → H20 (1) + CO2 (g) + NaC,H3O2 (aq)
The student adds 1.85 g of solid NaHCO3 into a flask containing 75.0 mL of 0.90 M HCH:02. The student
observes the formation of gas bubbles and also that the flask gets cooler to the touch as the reaction proceeds.
Considering all of the students observations that the student made, is the reaction thermodynamically favorable
at all temperatures, no temperatures, high temperatures or low temperatures. Justify (explain) your selection in
terms of AG

Answers

Answer:

High temperatures

Explanation:

NaHCO₃ (8) + HCH,O₂ (aq) → H₂O (l) + CO₂ (g) + NaC,H₃O₂ (aq)

As the flask gets cooler to the touch as the reaction proceeds, the reaction is endothermic. This means that ΔH is positive (ΔH>0).

As a gas is formed (bubbles are formed), ΔS is positive (ΔS>0).

In terms of ΔG:

ΔG = ΔH - TΔS

In order for the reaction to be thermodynamically favorable, ΔH has to be negative, thus:

The reaction is favorable if TΔS > ΔH.

The greater the temperature, the easier it would be for TΔS to be greater than ΔH.

Describe what an Ionic Substance is....

Answers

Answer:

Ionic Substance is....

Explanation:

In chemistry, an ionic compound is a chemical compound composed of ions held together by electrostatic forces termed ionic bonding. The compound is neutral overall, but consists of positively charged ions called cations and negatively charged ions called anions.

5. Why is picric acid and tannic acid used in the treatment of burns?

Answers

Picric acid has antiseptic and astringent properties. For medical use it is incorporated in a surface anesthetic ointment or solution and in burn ointments. Picric acid is a much stronger acid than phenol; it decomposes carbonates and may be titrated with bases.

The theory of evolution states

Answers

Answer:

the theory of evolution states that all living things which exist today, and many more that are now extinct, evolved from simple life forms which first developed 3 billion years ago.

Explanation:

Which product of photosynthesis is the food?

Oxygen

Carbon Dioxide


Water


Glucose​

Answers

Answer:

Oxygen

Explanation:

In photosynthesis, solar energy is harvested and converted to chemical energy in the form of glucose using water and carbon dioxide. Oxygen is released as a byproduct.

Answer:

the answer is a) oxygen

Explanation:

when plants are performing photosynthesis they take in carbon dioxide given out by humans and animals which is the balance of nature and give out oxygen. in this process sunlight and chlorophyll is also involved!!!!

I hope I cleared your doubt :)

Suggest a reason why it is desirable to use an excess of barium ion in the precipitation.

Answers

Answer:

Hello your question is poorly written hence i will give you a more general answer

answer :  The reason why it is desirable to use an excess of barium ion in the precipitation is to form the compound needed,

Explanation:

Natural Precipitation occurs when condensed atmospheric water vapor falls due to the gravitational pull exerted on it by the clouds. precipitation can be in various forms like ; rain , ice pellets and snow . e.t.c

Hence the reason why it is desirable to use an excess of barium ion in the precipitation is to form the compound needed,

Also in order to form the precipitation, we will also add excess of barium ion which will help form the required precipitate and also  filter out the mass of Sulphate.

How many mL of 14.5M lithium carbonate solution must be used to deliver 4.20 g of lithium ion

Answers

Answer:

. 750 M

Explanation:

2KMnO4 + 16HCl -> 5Cl2 + 2KCl + 2MnCl2 + 8H2O If 6.0 moles of KCl are produced, how many moles of HCl were reacted?

Answers

Answer:

Explanation:

You just use the balance mole numbers from the equation.

moles HCl needed/16 from the balanced equation ==> 6KCl/2 from equation

x / 16 = 6/2            Multiply both sides   by 16

x = 16 * 6 / 2

x = 48

You need 48 mols of HCl

From previous experiments, this chemical reaction is known to absorb of energy. The position of the piston is monitored, and it is determined from this data that the system does of work on the piston during the reaction. Is the reaction exothermic or endothermic? exothermic endothermic Does the temperature of the water bath go up or down? up

Answers

Hello. Your question is missing data, which makes it difficult to answer it with exactness, but I will try to help you in the best possible way.

If the reaction absorbs energy it means that the reaction is endothermic. This is because endortemic reactions are those that absorb energy from the environment, as opposed to exothermic reactions that release energy into the environment.

In that case, if the reaction is absorbing energy, it is appropriate for the water bath temperature to drop.

When riding a roller coaster, you go up and down many hills. As you get to the top of a roller coaster, what energy change is taking place?
A. potential energy is changed into kinetic energy
B. kinetic energy is changed into potential energy
C. chemical energy is changed into heat energy
D. heat energy is changed into chemical energy​

Answers

Answer:

A.

Explanation:

The potential energy of the roller coaster increases as the coaster goes up a hill and can be converted to kinetic energy.

What is the electrostatic potential energy (Eel) of the ionic bond between a Ca2+ ion and a S2– ion in joules? Before you do the calculation, predict whether the result you get will be less than (more negative) or greater than (less negative) than the Eel value for KCl. The ionic radii of Ca2+ and of S2– are 100 pm and 184 pm, respectively.

Answers

Answer: the electrostatic potential energy is -3.26 × 10⁻¹⁸ J

Explanation:

Given the data in the question;

I think the value of electrostatic potential energy of calcium sulfide CaS formed will be less(more negative) than KCl because the Ca2+ and S2- ions has more charge that is +2 and -2 respectively when compared to Kcl which has +1 and -1 charge.so it will be more negative.

radius = r[tex]_{ca+2}[/tex] + r[tex]_{s-2}[/tex] = 100 + 184 = 284 pm = 2.84 × 10⁻¹⁰ m

we know that; k = 2.31 × 10⁻²⁸ J

q1 = 2  ( charge on Ca⁺² )

q2 = -2( charge on S⁻²)

so

Ep = k × q1q2/r

so we substitute

Ep = 2.31 × 10⁻²⁸ × (+2×-2) / 2.84 × 10⁻¹⁰

Ep = (2.31 × 10⁻²⁸ × -4) / 2.84 × 10⁻¹⁰

Ep = -9.24 × 10⁻²⁸ / 2.84 × 10⁻¹⁰

Ep = -3.26 × 10⁻¹⁸ J

Therefore, the electrostatic potential energy is -3.26 × 10⁻¹⁸ J

Based on the data provided, the electrostatic potential energy is -3.26 × 10⁻¹⁸ J

What is electrostatic potential energy?

The electrostatic potential energy is the work done in moving the charge from infinity to that point against the electric field.

The electrostatic potential energy between any two charges q1, q2 separated by distance r is derived from Coulomb’s law and mathematically given as:

E = k × [q1q2/r2]

where

k is a constant = 2.31 × 10⁻²⁸ Jq1 and q2 are the chargesr is the distance of separation

From the data provided:

ionic radii of Ca2+ r1 = 100 pm

ionic radii of S2– = 184 pm.

Chargeon Ca2+ = +2

Charge on S2_ = -2

From the data above, it most likely that the value of electrostatic potential energy of calcium sulfide CaS formed will be less(more negative) than KCl because the Ca2+ and S2- ions has a greater charge of +2 and -2 respectively compared to Kcl which has +1 and -1 charge.

Calculating the electrostatic potential energy, Ep:

radius = r1 + r2 = 100 + 184 = 284 pm

r = 2.84 × 10⁻¹⁰ m

k = 2.31 × 10⁻²⁸ J

q1 = 2  ( charge on Ca⁺² )

q2 = -2( charge on S⁻²)

Then:

Ep = k × q1q2/r

Substituting the values above in the equation:

Ep = 2.31 × 10⁻²⁸ × (+2 ×-2) / 2.84 × 10⁻¹⁰

Ep = (2.31 × 10⁻²⁸ × -4) / 2.84 × 10⁻¹⁰

Ep = -9.24 × 10⁻²⁸ / 2.84 × 10⁻¹⁰

Ep = -3.26 × 10⁻¹⁸ J

Therefore, the electrostatic potential energy is -3.26 × 10⁻¹⁸ J.

Learn more about electrostatic potential energy at: https://brainly.com/question/24648428

Can youguys helpplease its for marks and is due tommorow.

Answers

Explanation:

i believe this is right. my bad if its not

What is the freezing point (in degrees Celcius) of 4.14 kg of water if it contains 235.1 g of butanol, C 4 H 9 O H

Answers

Answer:

Explanation:

Molal freezing point depression constant of butanol Kf = 8.37⁰C /m

ΔTf = Kf x m , m is no of moles of solute per kg of solvent .

mol weight of butanol = 70 g

235.1 g of butanol = 235.1 / 70 = 3.3585 moles

3.3585 moles of butanol dissolved in 4.14 kg of water .

ΔTf = 8.37 x 3.3585 / 4.14

= 6.79⁰C

Depression in freezing point = 6.79

freezing point of solution = - 6.79⁰C .

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