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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.

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The ratio of rock music to total CDs that ella owns is 25/40. Paolo has 50 rock music CDs. The ratio of rock music to total CDs
qaws [65]
They own a total of 120 CDs.

GIVEN:
Ella: ratio of rock music to total CDs that she owns 25/40
Paolo: has 50 rock music CDs. The ratio of rock music to total CD is equal to Ella's ratio.

Proportion: a/b = c/d where ad = bc

25/40 = 50/x
25x = 40 * 50
25x = 2000
25x / 25 = 2000 / 25
x = 80  total of Paolo's CDs

Total of Ella's CDs       =  40
Total of Paolo's CDs   =<u>  80</u>
Total CDs in all               120


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3 years ago
What is the length of a leg of a right triangle if the hypotenuse is 9 inches and the other leg is 8 inches.
adelina 88 [10]

Answer:

√17 or 4.12 inches

Step-by-step explanation:

√9²-8²=√81-64=√17 inches

or 4.12 inches

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Lucy is knitting a blanket and needs to buy some more yarn. at her local craft store, 2 skeins of yarn cost $7 and 8 skeins of y
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Answer:

4

Step-by-step explanation:

Proportionality between skein values

8:2=4:1

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Step-by-step explanation:

A natural number includes non-negative numbers like 5, 203, and 18476.

It is encapsulated by integers, which include negative numbers like -29, -4, and -198.

Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.

By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.

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