1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AveGali [126]
3 years ago
14

Dimensional analysis: How many atoms are in a kilogram of silver, if there are 6.02 x 10^23 atoms per mole and silver weighs 107

.9 grams/mole?

Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0

Answer:

5.58×10²⁴ atoms.

Step-by-step explanation:

From the question given above, the following data were obtained:

1 mole of silver = 107.9 g

Number of atoms in 1 mole of silver = 6.02×10²³ atoms.

Number of atoms in a kilogram of silver =.?

Next, we shall convert 1 kg of silver to grams (g). This can be obtained as follow:

1 kg = 1000g

Therefore, 1 kg of silver is equivalent to 1000g.

Finally, we shall determine the number of atoms in 1 kg (i.e 1000 g) of silver as follow:

107.9 g of silver contains 6.02×10²³ atoms.

Therefore, 1000 g of silver will contain = (1000 × 6.02×10²³) / 107.9 = 5.58×10²⁴ atoms.

Thus, a kilogram of silver contains 5.58×10²⁴ atoms.

You might be interested in
Find the right quotient. 36m 5 n 5 ÷ (12m 3)
polet [3.4K]
ANSWER

The right quotient is

3  {m}^{2} {n}^{5}

EXPLANATION


The given expression is :

\frac{36 {m}^{5} {n}^{5}  }{12 {m}^{3} }



\frac{36 {m}^{5} {n}^{5}  }{12 {m}^{3} }  =  \frac{36}{12}  \times  \frac{ {m}^{5} }{ {m}^{3}} \times  {n}^{5}


\frac{36 {m}^{5} {n}^{5}  }{12 {m}^{3} }  =  3\times  \frac{ {m}^{5} }{ {m}^{3}} \times  {n}^{5}


Recall that,


\frac{ {a}^{m} }{ {a}^{n} }  =  {a}^{m - n}
We apply this property to obtain;



\frac{36 {m}^{5} {n}^{5}  }{12 {m}^{3} }  =  3 \times   {m}^{5 - 3}  \times  {n}^{5}


\frac{36 {m}^{5} {n}^{5}  }{12 {m}^{3} }  =  3  {m}^{2} {n}^{5}

5 0
2 years ago
Read 2 more answers
98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f
Colt1911 [192]

See the attached picture.

  • Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

V(x)=x(8-x)(12-x)=x^3-20x^2+96x

because the volume of a box is the product of its width (12-x), length (8-x), and height (x).

  • find the zeroes

You know right away from the factored form of V(x) that the zeroes are x=0,8,12. (zero product property)

  • sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of V(x) for any values of x between these zeros to get an idea of what the graph of V(x) looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know V(x)=0 when x=0 and x=8. So we pick some value of x between them, say x=1, and find that

V(1)=1(8-1)(12-1)=7\cdot11=77

which is positive, so V(x) will be positive for any other x between 0 and 8. Similarly we would find that V(x) for x between 8 and 12, and so on.

  • What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

  • If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants V(x)=12, so you solve

x^3-20x^2+96x=12

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

x\approx0.1284

x\approx7.6398

x\approx12.2318

but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.

  • What would be the dimensions of this box?

The box's dimensions are (x in) x (8-x in) x (12-x in).

If x\approx0.1284, then 8-x\approx7.8716 and 12-x\approx11.8716.

If x\approx7.6398, then 8-x\approx0.3602 and 12-x\approx4.3602.

8 0
2 years ago
​Joe, a​ superhero, finishes a meal at a restaurant only to find​ he's left his wallet at home. Not wanting to reveal his secret
IrinaK [193]

Answer:

you didnt give any measures.

Step-by-step explanation:

try to type in the whole thing next time

3 0
2 years ago
Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.​
3241004551 [841]

respondo por qué el juego me lo diste 2+24

3 0
3 years ago
Read 2 more answers
Use the net to find the lateral area of the cylinder. Give your answer in terms of pi.
MatroZZZ [7]

Answer:

90\pi in^2

Step-by-step explanation:

The lateral  area of the cylinder is given by;

A_L=2\pi rh

The radius of the cylinder is r=5in. and the height is r=9in.

Substitute the values to get;

A_L=2\pi \times 5\times 9

A_L=90\pi in^2

5 0
3 years ago
Read 2 more answers
Other questions:
  • Renee is in charge of the school carnival for 380 students. She has 47 boxes of prizes. Each box has 22 prizes. She wants to mak
    14·2 answers
  • Solve for x. <br><br> x = ___
    14·1 answer
  • Please<br> help find the measure of the exterior angle
    6·2 answers
  • A pair of shoes cost $40 is marked up by 25%. What is the RETAIL PRICE?
    11·1 answer
  • If 9(1-x) = 27Y and x-y=-11/2, find the value of x + y.​
    15·2 answers
  • What do these stand for
    10·2 answers
  • Solve each Inequality. Write your answer 2.) x + 9 &gt; 16 o​
    6·1 answer
  • Evaluate if f(x)=x+8+15,g(x)4x-2andh(x)=x-5x-14
    14·1 answer
  • Multiply and combine like terms:<br> -5x – 4(9 – 2x)
    6·1 answer
  • Pls help and dont give wrong answer brain if correct
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!