How much of a 500 gram sample of potassium-42 is left after
62 hours? The half-life of K-42 is 12.4 hours?

Answers

Answer 1

Answer:

The correct answer is - 15.625

Explanation:

The half-life is the time it takes to decay half value or quantity of its initial quantity or value. It is given that,

The half-life of K-42 = 12.4 hours

The initial value of K-42 = 500 gm

After 62 hours the value of k-42 = ?

The number of half cycle = 62*1/12.4 = 5,

therefore it will have 5 half-lives

initial - 500

1st half life - 500/2 = 250

2nd - half life - 250/2 = 125

3rd half life - 125/2 = 62.5

4th half life - 62/2 = 31.25

fifth half life - 31.25/2 = 15.625

Thus, the correct answer is =15.625g

Answer 2

15.625 g of  a 500 gram sample of potassium-42 with 12.4 hours of Half -life is left after 62 hours.

The half-life is the time after which half of the initial quantity of a radioactive substance is left .

Given here,  

The half-life of K-42 = 12.4 hours  

The initial quantity of K-42 = 500 gm  

The final quantity after 62 hours = ?  

The number of half cycle

[tex]\bold { = 62\times \dfrac 1{12.4} = 5,}[/tex]  

Thus the number of half life cycles in 62 hours is 5,

 

After 1 half life [tex]\bold {= \dfrac {500}{2} = 250}[/tex]  

After 2 half lives [tex]\bold {= \dfrac {250}{2} = 125}[/tex]  

After 3 half lives [tex]\bold {= \dfrac {125}{2} = 62.5}[/tex]  

After 4 half lives  [tex]\bold {= \dfrac {62.5}{2} = 31.25}\\[/tex]  

After 5 half lives [tex]\bold {= \dfrac {31.25}{2} = 12.625}\\[/tex]  

15.625 g of  a 500 gram sample of potassium-42 with 12.4 hours of Half -life is left after 62 hours.

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Related Questions

What element has 70 electrons and 102 neutrons?

Answers

Answer:

The answer is Ytterbium but it is one of it isoptoped so techniacally it would be Ytterbium 102.

what is this balanced?
Al2O3---> Al+O2

Answers

The balanced equation :

2Al₂O₃⇒ 4Al+3O₂

Further explanation

Given

Reaction

Al₂O₃⇒ Al+O₂

Required

Balanced equation

Solution

A chemical reaction is said to be balanced if the number of elements involved in the reaction is the same (either the reactants or the products)

The reaction above is said to be unbalanced because the number of elements Al and O in the reactants and products is not the same.

The balancing step

1. Give a coefficient

Al₂O₃⇒ aAl+bO₂

2. Make an equation

Al, left = 2, right = a⇒a=2

O, left = 3, right = 2b⇒2b=3⇒b=3/2

The equation becomes :

Al₂O₃⇒ 2Al+3/2O₂ x2

2Al₂O₃⇒ 4Al+3O₂

The solubility in water of ionic compound X is measured and found to be 0.776g/mL at 15.°C. Calculate the volume of a saturated solution of X in water that would contain 34.0g of X at this temperature. Be sure your answer has the correct unit symbol and 3 significant digits.

Answers

Answer: The volume of a saturated solution of X in water that would contain 34.0g of X  is 43.9 ml

Explanation:

Solubility is defined as the amount of solute dissolved per 100 ml of the solvent at a fixed temperatur.

Given :  solubility of ionic compound X  in water at [tex]15^0C[/tex] = 0.776 g/ml

0.774 g of X is contained in = 1 ml

Thus 34.0 g g of X is contained in = [tex]\frac{1}{0.774}\times 34.0=43.9 ml[/tex]

Thus the volume of a saturated solution of X in water that would contain 34.0g of X  is 43.9 ml

hey siri how do you make ice cube ????????????????????????????????????

Answers

Answer:

1.Get a ice cub tray.

2. fill cold water to the top.

3. Put the tray in the freezer.

4 let them sit for 3-4 hours.

5.Enjoy!

Explanation:

Answer:

put hotdogs in water boil em. put the water in the cube thingy and put it in the freezer

What is Displacementsubject Physics, ​

Answers

Explanation:

Displacement is the distance travelled in a specific direction. Unlike distance, displacement is a vector quantity with both magnitude and directional attribute.

When we specific displacement values, we must indicate the direction of motion to complete its description.

For example, 50m is a distance value. It has a magnitude but no direction.

When we say 50m due south, this is a displacement because both magnitude and direction are accurately specified and defined.

helppp pleaseee i really need to pass this class

Answers

Uranium = 92
Se = 34
Clourine = 35.45
Lithium = 6.94
Radium
Sodium
Hg

Based on the organization and colors in the periodic table, which
two elements do you think are most similar in terms of their properties:
magnesium (Mg), barium (Ba), and gold (Au)? Explain.

Answers

Answer:

Magnesium (Mg) and Barium (Ba) are most similar in terms of properties.

Explanation:

The periodic table of elements is organized with elements classified by atomic number. Each column in the table represents elements grouped together by protons in the nucleus and as a result of that also charge. The first column of elements have a +1 charge, while the second column have a +2 charge.

Electronegativity, mass and weight can also be determined by the location of elements in the table, with elements becoming more electronegative from left (least amount) to right (most) and more heavy from top to bottom. Because Magnesium and Barium are in the same column, while gold is in a different column (and assigned a different color) it indicates the element gold is not like the other two and has different properties.

Based on the organization of elements in the  periodic table, the two elements that will be similar are magnesium (Mg), barium (Ba).

The periodic table is arranged in rows called periods and columns called groups.

Elements in the same group of the periodic table are chemically similar because they have the same number of electrons in their outermost shell and consequently undergo the same kind of chemical reactions.

Having said that, Barium and magnesium both belong to group 2 of the periodic table hence they have the similar properties because they are all members of the same group.

Learn more: https://brainly.com/question/11155928

Are these sentences true or false? Tick the boxes
True False
a) The substance is an element.
b) The substance contains five atoms.
c) There is carbon in the substance.
d) The substance contains nitrogen and hydrogen.

Answers

True
False
False
True
I think so

Question 4
How many moles are contained in 67 L of CO2 gas at STP? Round your answer to three significant figures and include units.

Answers

Answer:

2.99 mol

Explanation:

Number of moles of CO₂ = ?

Volume = 67 L

Temperature and pressure = standard

Solution:

The given problem will be solve by using general gas equation,

PV = nRT

P= Pressure

V = volume

n = number of moles

R = general gas constant = 0.0821 atm.L/ mol.K  

T = temperature in kelvin

By putting values,

1 atm × 67 L = n ×0.0821 atm.L/ mol.K × 273.15 K

67 atm.L = n×22.43 atm.L/ mol

n = 67 atm.L/22.43 atm.L/ mol

n = 2.99 mol

What type of reaction has only one reactant

Answers

Answer:

composition reaction has only one reactant

I hope it helps you

Select the correct answer.
Which of the following does the Sun orbit?
A.
The center of the Milky Way
B.
The Earth
C.
The Moon
D.
The stars

Answers

Answer: The center of the Milky Way

Explanation: It's located about two-thirds of the way out from the center of the Milky Way which is about 28,000 light–years away.

I NEED HELP PLEASE!!!! CHEMISTRY QUESTION: If 38 g of Li3P and 15 grams of Al2O3 are reacted, what total mass of products will result? Why?

Answers

Answer:

21.5 g.

Explanation:

Hello!

In this case, since the reaction between the given compounds is:

[tex]2Li_3P+Al_2O_3\rightarrow 3Li_2O+2AlP[/tex]

We can see that according to the law of conservation of mass, which states that matter is neither created nor destroyed during a chemical reaction, the total mass of products equals the total mass of reactants based on the stoichiometric proportions; in such a way, we first need to compute the reacted moles of Li3P as shown below:

[tex]n_{Li_3P}^{reacted}=38gLi_3P*\frac{1molLi_3P}{51.8gLi_3P}=0.73molLi_3P[/tex]

Now, the moles of Li3P consumed by 15 g of Al2O3:

[tex]n_{Li_3P}^{consumed \ by \ Al_2O_3}=15gAl_2O_3*\frac{1molAl_2O_3}{101.96gAl_2O_3} *\frac{2molLi_3P}{1molAl_2O_3} =0.29molLi_3P[/tex]

Thus, we infer that just 0.29 moles of 0.73 react to form products; which means that the mass of formed products is:

[tex]m_{Li_2O}=0.29molLi_3P*\frac{3molLi_2O}{2molLi_3P} *\frac{29.88gLi_2O}{1molLi_2O} =13gLi_2O\\\\m_{AlP}=0.29molLi_3P*\frac{2molAlP}{2molLi_3P} *\frac{57.95gAlP}{1molAlP} =8.5gAlP[/tex]

Therefore, the total mass of products is:

[tex]m_{products}=13g+8.5g\\\\m_{products}=21.5g[/tex]

Which is not the same to the reactants (53 g) because there is an excess of Li₃P.

Best Regards!

How many moles of Na are in 42 g of Na? ​

Answers

The answer is 1.83 moles of Na.

According to the law of conservation of mass, how much mercury was present in the mercury (II) oxide? *

Answers

Mass of Mercury(Hg) : 55.8 g

Further explanation

Given

Reaction

2HgO ⇒ O₂ + 2Hg

Required

Mass of Mercury

Solution

Conservation of mass applies to a closed system, where the masses before and after the reaction are the same

So mass of reactants = mass of products

Mass of reactants = mass HgO = 60 g

Mass of products = mass O₂ + mass Hg

60 g = 4.2 g + mass Hg

mass Hg = 60 - 4.2

mass Hg = 55.8 g

Arteries do not contain muscle of any type.

True or False?

Answers

False.

Arteries are said to be more muscular.

That means Arteries ARE* MUSCLES

what is the change in the velocity of the biker below as he travels from point b to point c ? ..... What is his acceleration from point b to point c ?

Answers

The change in the velocity = 4 m/s

Acceleration = 4 m/s²

Further explanation

Given

vo = initial velocity = 4 m/s

vf = final velocity = 8 m/s

t = 1 s

Required

The change in the velocity

Acceleration

Solution

the change in velocity =

[tex]\tt vf-vo=8-4=4~m/s[/tex]

Acceleration = ratio of a change in velocity and the time

[tex]\tt a=\dfrac{\Delta v}{t}= \dfrac{vf-vo}{t}[/tex]

Input the value :

[tex]\tt a=\dfrac{4~m/s}{1~s}=4~m/s^2[/tex]

how would you describe a solid substance appearance before melting

Answers

Tbh I really don’t know

A sample of 254.2 grams of copper completely reacted with oxygen to form 286.2 grams of copper oxide product how many grams of oxygen reacted

Answers

During a chemical reaction nb of atoms and mass is always conserved , so mass of Reactants is equal mass of Products.

What is tree rings tell us?

Answers

Tree rings tell us how old the tree is.

Answer:each of a number of concentric rings in the cross section of a tree trunk, representing a single year's growth.

Explanation:it tell whats the age of the tree.

3. Do objects of different masses fall at different rates? Why or why not? *

Answers

Two objects of different masses fall at the same rate. However, largest masses exert greater gravitational attraction than smaller masses.

Answer:

yes.it depends on acceleration due to gravity,weight .

NEED HELP FAST!!!!!!!!!!!!

Answers

Covalent for the first one

If you have 312 grams of calcium chloride, how many atoms would you have?

Answers

Answer:

1.69 × 10²⁴ atoms CaCl₂

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Chemistry

Atomic Structure

Reading a Periodic TableWriting CompoundsAvogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

Stoichiometry

Use Dimensional AnalysisExplanation:

Step 1: Define

312 g CaCl₂ (calcium chloride)

Step 2: Identify Conversions

Avogadro's Number

Molar Mass of Ca - 40.08 g/mol

Molar Mass of Cl - 35.45 g/mol

Molar Mass of CaCl₂ - 40.08 + 2(35.45) = 110.98 g/mol

Step 3: Convert

Set up:                                [tex]\displaystyle 312 \ g \ CaCl_2(\frac{1 \ mol \ CaCl_2}{110.98 \ g \ CaCl_2})(\frac{6.022 \cdot 10^{23} \ atoms \ CaCl_2}{1 \ mol \ CaCl_2})[/tex]Divide/Multiply:                                                                                               [tex]\displaystyle 1.69298 \cdot 10^{24} \ atoms \ CaCl_2[/tex]

Step 4: Check

Follow sig fig rules and round. We are given 3 sig figs.

1.69298 × 10²⁴ atoms CaCl₂ ≈ 1.69 × 10²⁴ atoms CaCl₂

what is a physical change

Answers

cutting a piece of paper

Explanation:

Answer:

A physical change occurs when a substance changes, but no new substance is formed.

Explanation:

Is plastic pollution likely to become more or less of a problem in the future?

Answers

Answer:

More bro

Explanation:

Pollution is only increasing

Answer: Yes and no, no because people are constantly polluting the earth with plastic which is a big issue.  Yes, because things are being invented to help with plastic pollution, and there is a great number of people who recycle, so however you look at it there's really a 50/50 chance.

Explanation:

A nuclear magnetic resonance, or NMR, spectrometer is an instrument that can be used to characterize molecules based upon the excitation of inner shell electrons. the behavior of the nuclei of certain atoms in a magnetic field. the nuclear radiation emitted by certain molecules. vibrations of portions of the molecule brought about by the absorption of infrared radiation.

Answers

Answer:

The correct answer is A)

Explanation:

An NMR or Nuclear Magnetic Resonance Spectrometer is an equipment that can be used to study the nature of molecules after their nuclei have been excited with the use of radio waves. Radio waves generated is converted into nuclear magnetic resonance.

The resonance produced can be recognized or decoded by special radio receivers.  

Besides recognizing the molecular structure of a chemical compound, it's purity and its content can also be analyzed.

Cheers!

PLS HELP ASAP I NEED NUMBER 8

Answers

A punnet square can be used to predict and see the possibilities of the genotypes.

Explanation:

determine the genotypes of the parent organisms.

write down your "cross" (mating)

draw a p-square.

4. " ...

determine the possible genotypes of the offspring by filling in the p-square.

summarize results (genotypes & phenotypes of offspring)

A student experimentally determines the density of a metal cube. The edge length of the cube is measured using calipers. The cube's true density is 12.30 g/cm. Use the student's collected data below and calculate the percent error for the measurement.
Student's Collected Data:
Cube's Mass 551786
Edge Length 1.72 cm
Percent error= _______%

Answers

Answer:

10.9%.

Explanation:

The first thing to do in order to solve this question is to Determine the value for the volume of the the cube. This can be done by taking the cube root of the length of the cube;

The volume of the cube = (length of the cube)^3 = length × length × length = 1.72 × 1.72 × 1.72 =( 1.72)^3 = 5.09cm^3.

The next thing you do is to Determine the exponential density, the can be done by using the formula below;

The exponential density = mass/ volume = 55. 786/ 5.09 = 10.96 g/cm^3.

Therefore, the percent error = (true density of the cube - exponential density of the cube)÷ true density of the cube × 100.

Hence, the percent error = 12.30 - 10.96/12.30 × 100 = 10.9%.

which of the following is the best characterization of the nature of light?

Answers

Answer:  Light is a transverse, electromagnetic wave that can be seen by the typical human. The wave nature of light was first illustrated through experiments on diffraction and interference

Explanation:

Answer:

Light energy

Explanation:

Given 2AL + 6HCL → 2ALCL3 + 3H2, how many grams of aluminum do I need to produce 11 L of hydrogen gas at STP?

Answers

Mass of Aluminum= 8.829 g

Further explanation

Given

Reaction

2Al + 6HCl → 2AlCl₃ + 3H₂

Required

mass of Aluminum

Solution

At STP, 1 mol gas = 22.4 L

For 11 L of Hydrogen :

= 11 : 22.4

= 0.491

From equation, mol ratio Al : H₂ = 2 : 3, so mol Al :

= 2/3 x mol H₂

= 2/3 x 0.491

= 0.327

Mass Aluminum(Ar=27 g/mol) :

= 0.327 mol x 27 g/mol

= 8.829 g

Consider the combustion of propane: A balloon is being inflated to its full extent by heating the air inside it. In the final stages of this process, the volume of the balloon changes from L to L by the addition of J energy as heat. Assume that all the heat comes from the combustion of propane. What mass of propane must be burned to furnish this amount of energy assuming the heat transfer process is 50.% efficient?

Answers

Answer:

5162.539 g

Explanation:

Let assume that the volume changes from [tex]4.00 \times 10^6 \ L[/tex] to [tex]4.50 \times 10^6 \ L[/tex].

And if the addition of energy as heat is [tex]1.3 \times 10^8 \ J[/tex]

Then; we can say that the total heat that is taken by the ballon = [tex]1.3 \times 10^8 \ J[/tex]

[tex]= 1.3 \times 10^5 \ kJ[/tex]

The total heat supplied = total heat coming from the combustion of propane

[tex]= \dfrac{100}{50} \times 1.3 \times 10^5 \ kJ[/tex]

[tex]= 2.6 \times 10^5 \ kJ[/tex]

[tex]C_3 H_{8(g)} + 5O_{2(g)} \to #CO_{2(g)} + 4H_2O_{(l)} \ \ \Delta H = -2221 \ kJ[/tex]

If 2221 kJ is produced as a result of the combustion of 44.1 g [tex]C_3H_{8(g)}[/tex]

Then;

[tex]2.6 \times 10^5 kJ[/tex] will produce [tex]= \Big( \dfrac{44.1 \times 2.6 \times 10^5}{2221} \Big ) \ g[/tex]

= 5162.539 g

Thus, the mass of the propane that must be burned = 5162.539 g

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