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Oxana [17]
3 years ago
14

A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows

and explains the approximate total mass, in grams, of all the atoms of the gas in the container?
A. 0.47 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73 ⋅ 10–1
B.0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1
C.4.73 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73
D.5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10–24) = 5.1102
Mathematics
2 answers:
Mars2501 [29]3 years ago
5 0

Answer:

Step-by-step explanation:

The correct answer is not the first answer, but the second answer in the middle. The third answer is the correct one because, since it has the correct exponent, that is, 0.51 grams.

_________________________________________________________

The approximate total mass is the number of atoms multiplied by the weight of an atom.

The approximate overall mass=3.06 10²³ atoms. (1.67 10⁻²⁴ grams/1 atom) which is equivalent to a mass of 0.51 grams. (1.67 10⁻²⁴ grams/1 atom) = 0.51102 g ≈ 0.51 g

Answer: B. 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1

arsen [322]3 years ago
4 0

Answer:

long story short, the answer is B, 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10-24) = 5.1102 ⋅ 10-1

Step-by-step explanation:

:)

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Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?
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Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\

Step 2

find the volume of the sphere when radius= 5.1 ft

v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\

Step 3

Compare the Volumes to find the change

\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet

change=18.03 cubic feet

Have a great day.

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