How much time will have passed by the time a sample of an isotope has decayed to 6.25% of its original mass if the half-life is 15 days? 45 days 60 days 75 days 30 days

Answers

Answer 1

Answer:

60 days.

Explanation:

Let the original mass (N₀) = 1 g

Amount remaining (N) = 6.25% of its original mass

= 6.25% × 1

= 6.25/100 × 1

= 0.0625 g

Half life (t½) = 15 days

Time (t) =?

Next, we shall determine the rate of decay. This can be obtained as follow:

Decay constant (K) = 0.693/ half life

K = 0.693 / t½

Half life (t½) = 15 days

Decay constant (K) =?

K = 0.693 / t½

K = 0.693 / 15

K = 0.0462 / day

Finally, we shall determine the time taken for the sample of the isotope to decay to 6.25% of its original mass.

This can be obtained as follow:

Original amount (N₀) = 1 g

Amount remaining (N) = 0.0625 g

Decay constant (K) = 0.0462 / day

Time (t) =?

Log (N₀/N) = Kt/2.3

Log (1/0.0625) = 0.0462 × t / 2.3

Log 16 = 0.0462 × t / 2.3

1.2041 = 0.0462 × t /2.3

Cross multiply

0.0462 × t = 1.2041 × 2.3

Divide both side by 0.0462

t = (1.2041 × 2.3)/0.0462

t = 59.9 ≈ 60 days

Therefore, the time taken for the sample of the isotope to decay to 6.25% of its original mass is 60 days


Related Questions

In a liquid with a density of 1050 kg/m3, longitudinal waves with a frequency of 450 Hz are found to have a wavelength of 7.90 m. Calculate the bulk modulus of the liquid

Answers

Answer:jdhddj Nd

Explanation:xbxnbxx period

Ganymede, one of Jupiter's moons, has a gravitational force of only 0.146 that of Earth. If a space probe with a mass of 126 kg on Earth lands on Ganymede, what would its mass be

Answers

Answer:

The mass of the space probe on Ganymede is 126 kg, and its weight is 180.2808 N.

Explanation:

The force of gravity, g, on the earth is 9.8 m/[tex]s^{2}[/tex].

The gravitational force on Ganymede = 0.146 × g

                                                               = 0.146 × 9.8

                                                               = 1.4308 m/[tex]s^{2}[/tex]

The gravitational force on Ganymede is 1.4308 m/[tex]s^{2}[/tex].

Mass of space probe on Earth is 126 kg.

Weight of the space probe on Earth = m × g

                                                = 126 × 9.8

                                                = 1234.8 kgm/[tex]s^{2}[/tex]

Weight of the space probe on Earth is 1234.8 N.

Since mass is constant, the mass of the space probe on Ganymede is 126 kg.

Weight of the space probe on Ganymede = m × g

                                                     = 126 × 1.4308

                                                    = 180.2808 kgm/[tex]s^{2}[/tex]

Weight of the space probe on Ganymede is 180.2808 N.

Answer:

126 kg

Explanation:

Mass is a constant for a body, and does not change with location.

A car is traveling with a velocity of 40 m/s and has a mass of 1120 kg. The car has ___________energy. Calculate it.

Answers

Answer:

8.9*10^5

Explanation:

as we know that  

K.E =1/2 mv²

where m is mass and v is velocity

given mass= 1120 kg

given velocity =40 m/s

so K.E=1/2 (1120)(40)²

K.E=1792000/2

K.E=896000

K.E=8.9*10^5

Answer:

8.9* 10^5

Explanation:

1. Plot the following graphs:
(a) distance –time graph for an object with uniform speed
(b) distance –time graph for an object with non- uniform speed
(c) velocity –time graph for uniform motion of a car
(d) Velocity –time graph for a car moving with uniform accelerations.
(e) Velocity –time graph for a car moving with non- uniform accelerations.
(f) A body at rest

Answers

Answer:

(a) The distance-time graph for an object with uniform speed is giving by a straight line sloped graph with a constant positive or negative gradient as shown in the attached diagram

(b) The distance-time graph for an object with non-uniform speed is giving by a curved line sloped graph with varying gradient as shown in the attached diagram

(c) The velocity-time graph for a car with uniform motion is giving by a horizontal line graph at the speed of constant motion with a zero gradient as shown in the attached diagram

(d) The velocity-time graph for a car moving with uniform acceleration is giving by a straight line sloped graph with a constant positive or negative gradient as shown in the attached diagram

(e) The velocity-time graph for a car moving with non-uniform acceleration is giving by a curved line sloped graph with varying gradient as shown in the attached diagram

(f) According to Newton's first law of motion, an object at rest will remain at rest with no motion unless acted by a force, an therefore, will have no motion with time

Explanation:

A car drives at a constant speed of 40 m/s for 1000s how far does it go

Answers

Answer:

40,000 meters

Explanation:

We want to find how far the car travels, or the distance. Therefore, we can use the following formula:

[tex]d= s*t[/tex]

where [tex]s[/tex] is the speed and [tex]t[/tex] is the time

The speed of the car is 40 meters per second and the time is 1000 seconds. Therefore,

[tex]s= 40 m/s*\\t=1000s[/tex]

Substitute the values into the formula.

[tex]d= 40 m/s * 1000s[/tex]

Multiply. When you multiply, the 2 "s" variables will cancel out.

[tex]d= (40 m*1000)[/tex]

[tex]d= 40,000 m[/tex]

The distance traveled by the car is 40,000 meters.

How long does it take an automobile traveling 66.7 km/h to become even with a car that is traveling in another lane at 52.7 km/h if the cars' front bumpers are initially 119 m apart?

Answers

Answer:

The  time taken is  [tex]t = 32.5 \ s[/tex]

Explanation:

From the question we are told that

   The  speed  of  first car is  [tex]v_1 = 66.7 \ km/h = 18.3 \ m/s[/tex]

    The  speed  of  second car is [tex]v_2 = 52.7 \ km/h = 14.64 \ m/s[/tex]

   The  initial distance of separation is  [tex]d = 119 \ m[/tex]

The distance covered by first car is mathematically represented as

     [tex]d_t = d_i + d_f[/tex]

Here  [tex]d_i[/tex] is the initial distance which is  0 m/s

  and  [tex]d_f[/tex]  is the final distance covered which is  evaluated as [tex]d_f = v_1 * t[/tex]

So

     [tex]d_t = 0 \ m/s + (v_1 * t )[/tex]

     [tex]d_t = 0 \ m/s + (18.3 * t )[/tex]

The distance covered by second  car is mathematically represented as

     [tex]d_t = d_i + d_f[/tex]

Here  [tex]d_i[/tex] is the initial distance which is  119 m

  and  [tex]d_f[/tex]  is the final distance covered which is  evaluated as [tex]d_f = v_2* t[/tex]

       [tex]d_t = 119 + 14.64 * t[/tex]

Given that the two car are now in the same position we have that

    [tex]119 + 14.64 * t = 0 + (18.3 * t )[/tex]

   [tex]t = 32.5 \ s[/tex]

WHAT WAS THE ACCELERATION OF THE CART WITH THE LOW FAN SPEED?

Answers

Answer:

18.0 cm/s2

Explanation:

Which of the following is a science? (2 points)
A
Chemistry
B
Anthropology
C
Baseball statistics
D
Art

Answers

A. Chemistry

Hope this helped.

Chemistry is a subject studied in science.

What is Chemistry?

Chemistry is the branch of Physical science, which undergoes the study of composition, structure, function, properties i.e., physical properties and chemical properties of the matter ( Solid, Liquid and Gas ) and the changes it undergoes.

Here, the matter that means that anything that have mass and occupies space.

Some of the branches of chemistry is as follows, Biochemistry, Analytical chemistry, Organic chemistry, Inorganic chemistry, Physical or computational chemistry.

Chemistry also studies the chemical interactions (bonding) between elements, atoms and molecules and also chemistry affects all aspects of life and mostly affects the natural process. Chemical things have been used much in our day today life.

Here, Anthropology is the study of Human beings, Baseball statistics can be studied under game or sports, Art is the study of culture.

Hence, Option A is the correct answer.

Learn more about Chemistry,

https://brainly.com/question/14623424

#SPJ2

Which perspective emphasizes how we store and retrieve information? A. Cognitive behavioral B. Positive psychology C. Biopsychology D. Social​

Answers

Answer:

a

Explanation:

describe what is inside a spring balance and explain how it works. ​

Answers

Answer:

The spring balance (also known as spring scale) is simply a spring fixed at one end with a hook to attach an object at the other. It works by Hooke's Law, which states that the force needed to extend a spring is proportional to the distance that spring is extended from its rest position.

HOW IT WORKS:

It consists of a spring fixed at one end with a hook to attach an object at the other. It works by Hooke's Law, which states that the force needed to extend a spring is proportional to the distance that spring is extended from its rest position. Therefore, the scale markings on the spring balance are equally spaced.

It is easier to lift the load as the load is pushed towards the wheel in a wheelbarrow​

Answers

It’s easier to lift the wheelbarrow when the load is near the front because there isn’t any pressure near the back where the handles are.

Ac=v^2/r solve for v, solve for r

Answers

Answer:

v = √ac×r

r = [tex]\frac{v^2}{ac}[/tex]

Answer:

Explanation:

Sorry cant help

How do think animals grow from babies to adults

Answers

Answer:

As animals get older, their bodies begin to change as well as their instincts and priorities. They get bigger and might adapt or develop.

Convert 142 weeks into years

Answers

Answer:

142 weeks/52 weeks per year = 2.7 years

so the answer is 2.7 years

Explanation:

Rose’s checking account has a balance of Negative 54 dollars. She makes no more withdrawals but deposits $15 per day in her account over the next five days. On the sixth day, she makes no deposits, but the bank charges a maintenance fee of $5. What is the balance in her account on the sixth day?

Answers

Answer: $16

Explanation: The equation is:

x = -54 + (5 x 15) -5

x = -54 + 75 - 5            [remember to use PEMDAS!]

x= 21 - 5

x = 16 dollars

The answer is: $16

Proof⬇⬇

3) Determine how many Altuves you could travel in a day if you were moving at 45.000 mph all day. 1 Altuve=1.65 m. 1 inch=2.54 cm. 1 mile=5280 ft

Answers

Answer:

Hey there!

Step one: Find how many miles you can travel per day.

45(24)=1008. You could travel 1008 miles a day.

Step two: Convert 1008 miles to meters.

1008 miles roughly equals 1622219 meters.

Step three: Convert meters to Altuves.

1622/1.65=983.03 Altuves.

Let me know if this helps :)

Question 1 of 11
Why is publishing results important in science?
O A. It adds bias to experimental data.
O B. It turns hypotheses into scientific laws.
O C. It lets scientists show off their imaginations.
O D. It allows others to evaluate the results.

Answers

Answer:

D. It allows others to evaluate the results.

Explanation:

All the scientists prefer publishing of their research so that scientific and medical community can evaluate the results.

The published research provides instructions or information that allows other researchers to repet the experiment and verify the results. All the scientific publications are based on research and observation which helps other reserachers to refer the published research to find something new.

Hence, the correct answer is "D".

Electrical equipment should always be properly connected to an electrically neutral source. What is this source called

Answers

Answer:

Earth or ground

Explanation:

Earth is the reference point in an electrical circuit from which voltages are measured, it connects the house's electrical system physically to the ground.  It functions in a house to ensures that exposed electrical parts do not have a dangerous voltage relative to the Earth, which could cause an electric shock if a grounded person touched them, and also to make sure that the failures of internal insulation triggers protective mechanisms such as fuses or circuit breakers in the circuit to remove power from the device.

A billion years ago, Earth and its moon were just 200000 kilometers apart. Express this distance in meters.​

Answers

Answer:

The  value is  [tex]x = 200000000 \ m[/tex]

Explanation:

From the question we are told that

  The  distance between the earth and the moon is  [tex]d = 200000 \ km[/tex]

Generally ,

     [tex]1 \ km = 1000 \ m[/tex]

      [tex]200000 \ km \to x \ m[/tex]

=>    [tex]x = \frac{200000 * 1000}{1 }[/tex]

=>   [tex]x = 200000000 \ m[/tex]

           

Which of the following would cause a fan cart to accelerate the least?
- doubling the speed of the fan
- pointing the fan exhaust downward
- tripling the speed of the fan
- pointing the fan exhaust upward

Answers

Answer:

The correct option is;

-Pointing the fan exhaust upward

Explanation:

The fan cart transfers reaction force from the jet of air it blows through the exhaust into motion in the opposite direction of the jet. By pointing the fan exhaust upwards, the direction of motion of the cart is therefore, into the ground. Due to the solid nature of the ground the motion is resisted, and by Newton's first law of motion, a body will remain in motion unless resisted by a force. In the case of the question, the ground is resisting the motion of the cart and the cart will remain at rest and having zero acceleration.

Two particles with positive charges q1 and q2 are separated by a distance s. Along the line connecting the two charges, at what distance from the charge q1 is the total electric field from the two charges zero

Answers

Answer:

The distance is  [tex]z = \frac{1 + \sqrt{ \frac{k * q_2 }{ k * q_1}}}{s}[/tex]

Explanation:

From the question we are told that

   The positive charges is  [tex]q_1 \ and \ q_2[/tex]

   The distance of separation is  [tex]s[/tex]

   

Generally at the point where the electric field is zero  would be a point where

The  electric field due to [tex]q_1[/tex] =  The  electric field due to [tex]q_2[/tex]

Generally the electric field due to [tex]q_1[/tex] is mathematically represented as

     [tex]E_1 = \frac{k * q_1}{ z^2 }[/tex]

Since we are taking our reference from [tex]q_1[/tex] then the electric field due to [tex]q_2[/tex] is mathematically represented as

     [tex]E_2 = \frac{k * q_2}{ (s- z)^2 }[/tex]

So

     [tex]\frac{k * q_1}{ z^2 } = \frac{k * q_2}{ (s- z)^2 }[/tex]

      [tex]k * q_1 * (s- z)^2= k * q_2 * z^2[/tex]

      [tex][ \frac{s -z }{z} ]^2 = \frac{k * q_2 }{ k * q_1}[/tex]

      [tex]\frac{s -z }{z} = \sqrt{ \frac{k * q_2 }{ k * q_1}}[/tex]

     [tex]\frac{s}{z} - 1 = \sqrt{ \frac{k * q_2 }{ k * q_1}}[/tex]

     [tex]z = \frac{1 + \sqrt{ \frac{k * q_2 }{ k * q_1}}}{s}[/tex]

     

The force of gravity pulls down on your school with a total force of 400,000 newtons. The force of gravity pulling down on your school would be exactly twice as much if your school:

Answers

Explanation:

It is given that, the force of gravity pulls down on your school with a total force of 400,000 N.

The force of gravity is given by the formula as follows :

F = mg

m is mass and g is the acceleration due to gravity

Mass of an object remains same always. But if the mass of your school becomes twice of the initial mass, the force of gravity pulling down on your school would be exactly twice.

Speeding truck slams on the brakes and accelerates at -7.40m/s^2 Before coming to a stop. It leaves skid marks on the pavement that are 43.1m long. How fast was the truck going before it slammed on the breaks?

Answers

Answer:

25.2563 m/s

Explanation

This is the equation needed

[tex]$v^2 = u^2 + 2ad$ where v is the final velocity, u is the initial velocity, a is the acceleration, and d the distance[/tex]

So Just plug in!

A train goes 25000 m East in 1500 sec and then turns around and travels 29,000 m West for 1740 sec. Determine the distance, speed, displacement, and velocity.

Answers

Answer:

scalar d = 54000 m , v_average = 16,667 m / s

vector    d = -4000 m , moved 4000 to the west

                 v_average = 0                

Explanation:

his is a uniform motion exercise, but we must be careful with quantities that are scalars and vector quantities

The distance traveled is a scalar

       d = d₁ + d₂

       d = 25000 + 29000

       d = 54000 m

the speed is a scalar, in the exercise it is not specified if the speed of each trajectory or the average speed. Therefore we will calculate the two

       v₁ = d₁ / t₁

       v₁ = 25000/1500

       v₁ = 16,667 m / s

       

       v₂ = 29000/1740

        v₂ = 16,667 m / s

Since the two speeds are equal, the average speed is

             

       v = (v1 + v2) / 2

       v_average = 16,667 m / s

now let's calculate the displacement that is a vector, so it has direction in addition to modules

suppose the eastward direction is positive and the bold are vectors

      d = d₁ - d₂

       d = 25000 - 29000

        d = -4000 m

this means that it moved 4000 to the west

velocity is a vector, we assume positive eastward movement

        v₁ = 16,667 m / s

         v₂ = - 16,667 m / s

         v_average = (v1 -v2) / 2

         v_average = 0

If low CVP precipitates a suction alarm, rapid infusion of volume can remedy the situation after dropping the P-level.

True / False.

Answers

Answer:

d

Explanation:

Answer:true

Explanation:

SECTION 5 - FORCES
1. In the formula F=ma; state what each of the letters represents and the unit of measurement.
F = _______(_)
m =_______(_)
a = _______(_)

Answers

Answer:

F= force(newton or kg*m/s^2)

m=mass(kg)

a=acceleration(m/s^2)

F=ma

kg*m/s^2=kg x m/s^2

kg*m/s^2=kg*m/s^2

Hope this helps ;) ❤❤❤

Answer:

F - Newton

M - Mass

A - Acceleration

Explanation:

yes

to t
Mass of propane = 4,300 g
Volume of propane = 10,000 mL
The density of liquid(. )
g/mL.

Answers

Answer:

Welcome ShalomMHNCB Phx

Explanation:

the answer is because I just had this question and I got it wrong so te answer is 0.43

Answer:

The density of liquid propane is 0.43 g/mL

Explanation:

On EDG

If a positively charged body is moved against an electric field it will gain?

Answers

Answer:

positive charge

Explanation:

Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field. There are two types of electric charge: positive and negative.

hope it helps :)

please mark it the brainliest!

Why do specific heat capacity of objects differ? ​

Answers

The specific heat capacity of different substances vary for the same reason that different substances have different melting and boiling points to one another. If the bonds between atoms are stronger, it will require more energy to heat up the substance.Sep 8, 2018

If a 2000 kg car is at rest and a 500 N force is applied to it. What acceleration will it experience?

Answers

Net Force = mass * acceleration.
Therefore, Acceleration = Net force / mass
A=2000/500
A=4 m/s^2
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