A freshly prepared sample of radioactive isotope has an activity of 10 mCi. After 4 hours, its activity is 8 mCi. Find: (a) the decay constant  and half-life T1/2; (b) How many atoms of the isotope were contained in the freshly prepared sample? (c) What is the sample's activity 30 hours after it is prepared?

Answers

Answer 1

Answer:

(a). The decay constant is [tex]1.55\times10^{-5}\ s^{-1}[/tex]

The half life is 11.3 hr.

(b). The value of N₀ is [tex]2.38\times10^{11}\ nuclei[/tex]

(c). The sample's activity is 1.87 mCi.

Explanation:

Given that,

Activity [tex]R_{0}=10\ mCi[/tex]

Time [tex]t_{1}=4\ hours[/tex]

Activity R= 8 mCi

(a). We need to calculate the decay constant

Using formula of activity

[tex]R=R_{0}e^{-\lambda t}[/tex]

[tex]\lambda=\dfrac{1}{t}ln(\dfrac{R_{0}}{R})[/tex]

Put the value into the formula

[tex]\lambda=\dfrac{1}{4\times3600}ln(\dfrac{10}{8})[/tex]

[tex]\lambda=0.0000154\ s^{-1}[/tex]

[tex]\lambda=1.55\times10^{-5}\ s^{-1}[/tex]

We need to calculate the half life

Using formula of half life

[tex]T_{\dfrac{1}{2}}=\dfrac{ln(2)}{\lambda}[/tex]

Put the value into the formula

[tex]T_{\dfrac{1}{2}}=\dfrac{ln(2)}{1.55\times10^{-5}}[/tex]

[tex]T_{\dfrac{1}{2}}=44.719\times10^{3}\ s[/tex]

[tex]T_{\dfrac{1}{2}}=11.3\ hr[/tex]

(b). We need to calculate the value of N₀

Using formula of [tex]N_{0}[/tex]

[tex]N_{0}=\dfrac{3.70\times10^{6}}{\lambda}[/tex]

Put the value into the formula

[tex]N_{0}=\dfrac{3.70\times10^{6}}{1.55\times10^{-5}}[/tex]

[tex]N_{0}=2.38\times10^{11}\ nuclei[/tex]

(c). We need to calculate the sample's activity

Using formula of activity

[tex]R=R_{0}e^{-\lambda\times t}[/tex]

Put the value intyo the formula

[tex]R=10e^{-(1.55\times10^{-5}\times30\times3600)}[/tex]

[tex]R=1.87\ mCi[/tex]

Hence, (a). The decay constant is [tex]1.55\times10^{-5}\ s^{-1}[/tex]

The half life is 11.3 hr.

(b). The value of N₀ is [tex]2.38\times10^{11}\ nuclei[/tex]

(c). The sample's activity is 1.87 mCi.


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The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north).

Which information could a student determine from only the chemical formula of a protein

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Answer:

the answer is (D) The number of atoms of each element in the protein

Explanation:

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Which information could a student determine from only the chemical formula of a protein

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An object with a charge of 1.2 C is located 4.5 m away from a second object that has a charge of 0.36 C. Find the electrical force that the objects exert on each other. Use 8.988×10 N⋅m2/C2 for the value of Coulomb's constant. Give your answer to two decimal places.

Answers

Answer:

[tex]1.917*10^8\ N[/tex]

Explanation:

Coulomb's law states that the electric force between two charges is directly proportional to the product of the two charges and inversely proportional to the square of the distance between them. It is given by the formula:

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how is kinetic energy is stored​

Answers

Answer:

Explanation:

Kinetic energy can be stored. For example, it takes work to lift a weight and place it on a shelf or to compress a spring. ... Kinetic energy can also be transferred from one body to another in a collision, which can be elastic or inelastic. One example of an elastic collision would be one billiard ball striking another.

Explanation:

Kinetic energy can be stored. For example, it takes work to lift a weight and place it on a shelf or to compress a spring. ... Kinetic energy can also be transferred from one body to another in a collision, which can be elastic or inelastic. One example of an elastic collision would be one billiard ball striking another.

If an object is moving with constant acceleration, its velocity must

a
change by varying amounts depending on its speed.
b
always decrease.
c
be constant also.
d
change by the same amount each second.

Answers

change by the same amount each second. i think

which one of the following is a derived Si unit a. Newton, b. Meter, c. Mole, d. Kiogram

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Answer:

The SI is founded on seven SI base units for seven base quantities assumed to ... The SI derived units for these derived quantities are obtained from these ... mass density, kilogram per cubic meter, kg/m3 ... amount-of-substance concentration, mole per cubic meter, mol/m3 ... solid angle, steradian (a), sr (c), -, m2·m-2 = 1 (b).

Kilogram is a derived SI unit of the following.

Thus, A universal standard for expressing the magnitudes or quantities of significant natural events is the International System of Units.

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The SI standard is promoted and explained by the Bureau international des poids et mesures (BIPM). The organization was founded in 1875 and is known as the International Bureau of Weights and Measures in English. It is governed by the International Committee for Weights and Measures (CIPM).

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Answer:

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Explanation:

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Answers

Answer:

9/20

Explanation:

According to this question, Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes while JoJo made 42 cupcakes. This means that in total, (42 + 35) cupcakes has been made by both Lucy and JoJo

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Answers

Answer:

Sections 3 and 4

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The correct answer would be sections 3 and 4.

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Answers

Answer: If you apply force to an object the velocity changes. But it doesn't work the other way around apply velocity and the force (no!)  Velocity does not change on an object.   A force pushes or pulls on an object, but velocity is simply something an object has I hope this makes sense to you. Hope this helps :)

Explanation:

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Answers

Answer:

If you change the number of neutrons in an atom, you get an isotope of the same element. The addition of a neutron can make an atom radioactive. When you change the number of protons in an atom, you will change the atom from one element to a different element.

Explanation:

The characteristics of the atomic nucleus allow to find the answer for the effect of the change of neutrons in an atoms is

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The number of protons corresponds to the atomic number and its change changes the type of element.

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Elements with the same atomic number, but different atomic mass, different number of neutrons are called isotopes; in general all elements have isotopes, for example hydrogen has an isotope called deuterium that has a neutral and another radioactive isotope called tritium that has two neutrons.

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Answers

Answer:

B is the right answer

Explanation:

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A car maintains a constant speed while driving straight ahead.

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Answer:

B. is the correct answer just took the topic review.

Explanation:

Edge2020. Hope that this helps! Peace and Love

Courts often depend upon recovered memories is the wrong statement about the hypnotic regression.

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Hypnotic regression is a contentious method because it can have a number of negative effects on the subjects who undergo it. For the beginners, the memories recovered through any regression can be doubtful and not trust-worthy. All the suggestions or leading questions from the hypnotist or other people of witnesses can affect the memory.

The previous lives memories will be found by the hypnotic technique as a past life regression.  If they used to remember the past life by this method they have high chance of getting into the traumas.

Regression therapy mostly used to identify the cause of your current thoughts and reactions. Therapists who is using this techniques to access subconscious memories that are guiding your current behaviour.

Regression therapy is a method of  treatment that could approach and focuses on resolving particular past events that are thought to be interfering or relatable with a person's current mental and emotional well-being.

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Answer:

A car travels at a constanT

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Hey Mate

See a coin is attracted bcoz he it has a metal names iron Which is easily attracted by the magnets

Hope, you fell my answer Helpful ( ◜‿◝ )♡

The new metal in the coin is Ferritic Stainless Steel
The (old) metal in the coin is Cupro-Nickel

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Answer: because the train goes 72 mph for 2 hours

Explanation:

does the train go 72mph for 2 hours as well? if so the answer would be 324 because you have to add 90 twice scene it goes at that speed for 2 hours thats 180. assuming  the train goes 72 mph for 2 hours it would be 144. then add 180 and 144 and you get 324 merry christmas and a happy newyear to you and your family

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Answer:

I'm pretty sure that the answer is A

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A. A car speeds up after getting on a highway.
B. A car travels at a constant velocity on a highway.
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D. A car rounds a sharp curve on an off ramp at a constant speed.

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Answer:

A, B, and D.

Explanation:

I've answered this exact question on a quiz. Hope it's not too late!

Answer:

A

C

D

Is the right answers not A.B,D.

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When performing a standard push-up, our hands should be placed on the ground... as close together as possible to make it the most challenging as close together as possible to make it the most challenging really wide to focus on chest development really wide to focus on chest development just outside our shoulders

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Answer:

Kindly check the explanation section.

Explanation:

The statement given in the question or problem above is true or let's say it is correct. And the statement describes different kinds or types of push up.

Push up is a kind of excercise that is being done mainly to strengthen the arm and the cheat. The way one goes about it determines which part of the body one is strengthening.

The kind of push up in which one has to close up the gap between his or hands is known as the close push ups. This kind of push up strengthens the arm more than the other part of the body and the more one puts his or her hands closer the more problematic the push up excercise becomes.

Other types or kinds of push ups are the Slow Eccentric Push Ups, Wide Push Ups, Staggered Push Ups, T push ups, Fingertip Push Ups and many more.

Determine the average speed of an object that travels 200 miles in 4 hours.

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Answer:

The average speed is 50 miles per hour

Explanation:

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Hope this helps

please mark as brainliest

Look at pic.... 2 examples of radiation and how they are radiation

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Answer:21

Explanation:

Which sentence describes Newton's first law?
A. Forces always come in pairs that have the same magnitude.
B. The action force applied by one object to another is opposite in
direction to the reaction force.
C. It takes a larger net force to accelerate an object at a greater rate.
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SM

Answers

[tex]\Large{\red{\bf{\blue{\dag} Answer:-}}}[/tex]

Newton's First Law of Motion :

An object stays in rest or in uniform motion unless and until compelled by an external unbalanced force . This is also known as " Law of Inertia " .

Here this statement is best represented by the statement : Unbalanced forces cause an object to move. [ option c ]

More to know :-

Newton's 3 laws of motion :-

Newton's First Law of Motion :-

It states that an object stays in rest or in uniform motion unless and until compelled by an external unbalanced force . This is also known as " Law of Inertia " .

Ex - (i) We tend to fall backwards while standing in the bus , when it starts suddenly.

(ii) We tend to fall forward while standing in the bus , when it stops suddenly.

Newton's Second Law of Motion :-

It states that the rate of change of momentum is directly proportional to the applied force in the direction of the force . That is ∆p [tex]\propto[/tex] Force .

Ex - (i) When we push car & a truck with same force the car will have Greater acceleration due to less mass . (Imaginary case ).

(ii) We feel easy to push a empty cart than a full cart .

Newton's Third Law of Motion :-

It states that every action has equal and opposite reaction .

Ex - (i) We are able to walk on ground due to Newton's third law of motion .

(ii) When we push wall it also applies equal and opposite force .

"Unbalanced forces cause an object to move " is the sentence that describes Newton's first law.

Describe Newton's first law.

   A body remains in the state of rest or uniform motion in a straight line unless and until an external force acts on it.

      The object is to be rest if the velocity and acceleration are zero.  When an object is in motion, velocity is not equal to zero (v ≠ 0) but acceleration (a = 0) is equal to zero. Therefore, the object will continue in motion with constant velocity in the same direction.

Example:

      If we jump from a bus while moving, our body will be like still moving in the same direction of the vehicle. When your feet hit the ground, the grounds act on your feet and stop moving. You will fall because the upper part of your body didn't stop and you will fall in the direction you were moving.

     If the object have the greater mass, then the object will have more inertia. Forces can change the object's motion.

Hence, Option D is the correct answer.

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