49 After decaying for 48 hours, l/16 of the original mass of a radioisotope sample remains unchanged. What is the half-life of this radioisotope?(1) 3.0 h (3) 12 h(2) 9.6 h (4) 24 h

Answers

Answer 1
Answer:

Answer:

The half life of the radioisotope is 12 hours.

Explanation:

Initial mass of the radioisotope = x

Final mass of  the radioisotope = (1)/(16)* x = 0.0625x

Half life of the radioisotope =t_{(1)/(2)}

Age of the radioisotope = t = 48 hours

Formula used :

N=N_o* e^(-\lambda t)\n\n\lambda =\frac{0.693}{t_{(1)/(2)}}

where,

N_o = initial mass of isotope

N = mass of the parent isotope left after the time, (t)

t_{(1)/(2)} = half life of the isotope

\lambda = rate constant

N=N_o* e^{-((0.693)/(t_(1/2)))* t}

Now put all the given values in this formula, we get

0.0625x=x* e^{-((0.693)/(t_(1/2)))* 48 h}

\ln(0.0625) * (1)/((-0.693* 48 h))=(1)/(t_(1/2))

t_(1/2) = 11.99 hours = 12 hours

The half life of the radioisotope is 12 hours.

Answer 2
Answer: 1/16 left would imply 4 half lives have passed (1/2 left = 1, 1/4 left = 2, 1/8 left = 3, 1/16 left = 4). So 4 half lives passed in 48 hours, meaning dividing 48 by 4 will give you the length of 1 half life. Which in this case is 12 hours.

Related Questions

What information do the coefficients of a balanced equation give about the reactants
The transition metal with the smallest atomic mass
Which of the following is NOT a type of carbohydrate molecule? Choose one: A. A disaccharide B. A glucose molecule C. A triglyceride D. A polysaccharide
Which statement best applies collision theory to preventing a dangerous reaction from occurring? Store the reactants together at a low pressure. Keep all sparks or flames away from the reactants. Store the reactants together at a low temperature. Keep the reactants in separate containers.
Why is H2SO4 regarded as an ampholyte

Explain how methane (ch4) and ethane (c2h6) demonstrate the law of definite composition and the law of multiple proportions

Answers

Methane and ethane demonstrate the law of definite composition and the law of multiple proportions as these both compounds have the exact atoms but in different ratios.  

As for methane, it can be seen that every methane molecule contains 4 hydrogen atoms and 1 carbon atom. Where masses of carbon and hydrogen are in ratio - 12 g C / 4 g H -- reduce to 3g C/ 1 g H .

Ethane contains 2 carbon atoms and 6 hydrogen atom and their mass ratio will be  - 24 g C / 6 g H -- reduce to 4 g C/ 1 g H .

So both ethane and methane demonstrate the law of definite composition and the law of multiple proportions.

Law of definite composition: The elements which are present in the compound is combined in the same proportion by mass.

Law of multiple proportion: When two or more compounds are formed by the combination of two elements then the mass ratio of one element is combined with the fixed mass of the other element.

In case of methane, it consist of one carbon atoms and four hydrogen atoms implies that has definite composition. In terms of mass, in methane, carbon and hydrogen atoms are combined in a definite ratio i.e. 12 g C/ 4 g H. Thus, methane has definite composition.  

Now, carbon and hydrogen combines to give a class i.e. hydrocarbon. In this case, for every constant mass of carbon the ratio of hydrogen will always reduce to 4/3 ratio for the formation of ethane (hydrocarbon). Thus, law of multiple proportion followed.

Similarly, in case of ethane, this compound also consist of exact atoms but in different ratios.

In case of ethane, it consist of two carbon atoms and six hydrogen atoms implies that has definite composition. In terms of mass, in ethane, carbon and hydrogen atoms are combined in a definite ratio i.e. 24 g C/ 6 g H. Thus, methane has definite composition.  

Now, carbon and hydrogen combines to give a class i.e. hydrocarbon. In this case, for every constant mass of carbon the ratio of hydrogen will always reduce to a specific ratio for the formation of methane (hydrocarbon). Thus, law of multiple proportion followed.


What is the chemical equation of ccl4, please explain thank you! :-D

Answers

It could be
C + 2Cl2 ➡️ CCl4
I decided this because I believe this is the only way you could make this a balanced equation. To be a balanced equation Both sides of the equation has the same number of atoms for each element. Carbon has 1 atom and chlorine has 4.

Choose the pieces of evidence that supported the existence of Pangaea and continental drift theory.o Fossilized plants and animals of the same species found on separate continents.
o Geological features, such as mountain ranges, that align on matching coasts of different continents.
o Island arc ranges are still connected under the Atlantic Ocean.
o Antarctica's glacial features are similar to the Arctic's.

Answers

Pangaea is scientifically known as the original whole mass of land that eventually was divided into separate mass entities called continents as a result to natural phenomena like earthquakes. This is more explained inthe continental drift theory. After rigorous collection of evidences, scientists noticed that fossilized plants and animals of the same species, also with the coastlines match on different continents. The answers are the first and second choices (A and B).

Fossilized plants and animals of the same species found on separate continents.

Geological features, such as mountain ranges, that align on matching coasts of different continents.

The temperature of a sample of water changes from 10°C to 20°C when the water absorbs 100 calories of heat. What is the mass of the sample?

Answers

Answer:

10 g

Explanation:

Right from the start, just by inspecting the values given, you can say that the answer will be  

10 g

.

Now, here's what that is the case.

As you know, a substance's specific heat tells you how much heat is needed to increase the temperature of  

1 g

of that substance by  

1

C

.

Water has a specific heat of approximately  

4.18

J

g

C

. This tells you that in order to increase the temperature of  

1 g

of water by  

1

C

, you need to provide  

4.18 J

of heat.

Now, how much heat would be required to increase the temperature of  

1 g

of water by  

10

C

?

Well, you'd need  

4.18 J

to increase it by  

1

C

, another  

4.18 J

to increase it by another  

1

C

, and so on. This means that you'd need

4.18 J

×

10

=

41.8 J

to increase the temperature of  

1 g

of water by  

10

C

.

Now look at the value given to you. If you need  

41.8 J

to increase the temperature of  

1 g

of water by  

10

C

, what mass of water would require  

10

times as much heat to increase its temperature by  

10

C

?

1 g

×

10

=

10 g

And that's your answer.

Mathematically, you can calculate this by using the equation

q

=

m

c

Δ

T

 

, where

q

- heat absorbed/lost

m

- the mass of the sample

c

- the specific heat of the substance

Δ

T

- the change in temperature, defined as final temperature minus initial temperature

Plug in your values to get

418

J

=

m

4.18

J

g

C

(

20

10

)

C

m

=

418

4.18

10

=

10 g

Which type of radiation is identical in mass and charge to a helium nucleus?a. beta
b. alpha
c. proton
d. positron

Answers

The best answer to the question 'Which type of radiation is identical in mass and charge to a helium nucleus?' would be letter b. Alpha radiation is similar to the mass and charge to a helium nucleus. An alpha particle has two protons and two neutrons.

Answer:

The correct answer is b.

Explanation:

Alpha particles are fully ionized helium (4He) nucleus. These nucleus consist of two protons and two neutrons. They are positively charged (+2) due to the absence of electrons. It has the same mass as the He atom (6,64 * 10^(-27) kg) or (4 uma), and the same charge (3,2 * 10^(-19) C).

Have a nice day!

Which two physical properties allow a mixture to be separated by chromatography?(1) hardness and boiling point
(2) density and specific heat capacity
(3) malleability and thermal conductivity
(4) solubility and molecular polarity

Answers

Answer:

The correct option is: (4) solubility and molecular polarity

Explanation:

Chromatography is an analytical technique which is used for the separation of various components in a given mixture.

In this process, the mixture to be separated is first dissolved in the mobile phase, which carries it through the stationary phase, thus leading to separation of the various components.

This differential separation is the result of the differential migration which is based upon the solubility and polarity of the individual components of of the given mixture.

 solubility and molecular polarity