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ycow [4]
3 years ago
13

2Al(s)+ 3Pb(N03) 2(aq) 2Al(N03)3(aq) + 3Pb (s)How many molecules of Pb(N03) 2 are used in the reaction? How many oxygen atoms ar

e used in the reaction? How many moles of Al(N03)3 are formed? What is the mole ratio of Pb(N03) 2 to Al(N03)3?
Chemistry
1 answer:
beks73 [17]3 years ago
8 0

Answer:

A. 1.806x10^24 molecules of Pb(NO3)2

B. 18 oxygen atoms.

C. 2 moles of Al(NO3)3.

D. The mole ratio of Pb(N03)2 to Al(N03)3 is 3 : 2

Explanation:

The balanced equation for the reaction is given below:

2Al(s) + 3Pb(NO3)2(aq) —> 2Al(NO3)3(aq) + 3Pb (s)

A. Determination of the number molecules of Pb(NO3)2 used in the reaction. This is illustrated below.

From the balanced equation above, 3 moles of Pb(NO3)2 were used in reaction.

From Avogadro's hypothesis, 1 mole of any substance contains 6.02x10^23 molecules. This means that 1 mole of Pb(NO3)2 contains 6.02x10^23 molecules.

Now, if 1 mole of Pb(NO3)2 contains 6.02x10^23 molecules,

then, 3 moles of Pb(NO3)2 will contain = 3 x 6.02x10^23 = 1.806x10^24 molecules.

Therefore, 1.806x10^24 molecules of Pb(NO3)2 is used in the reaction.

B. Determination of the number of oxygen atom used in the reaction.

This is illustrated below:

To obtain the number of oxygen atom used in the reaction, we simply do a head count of the oxygen atom in the reactant.

The reactant containing oxygen is Pb(NO3)2 and there are 3 moles of it according to the balanced equation.

There are a total of 18 oxygen atom in 3 moles of Pb(NO3)2. Therefore, 18 oxygen atoms are used in the reaction.

C. Determination of the number of mole of Al(NO3)3 formed.

From the balanced equation above, 2 moles of Al(NO3)3 are formed

D. Determination of the mole ratio of Pb(N03)2 to Al(N03)3

From the balanced, 3 moles of Pb(N03)2 reacted and 2 moles of Al(N03)3 are produced.

Therefore, the mole ratio of Pb(N03)2 to Al(N03)3 is 3 : 2

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Express the following in regular notation:<br> 3.4 x 10-1
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Answer:

hen working with very large or very small numbers, scientists, mathematicians, and engineers often use scientific notation to express those quantities. Scientific notation uses exponential notation. The following are examples of scientific notation.

Light year: number of miles light travels in one year, about 5,880,000,000,000

           Scientific notation is 5.88 x 1012 miles.

hydrogen atom: has a diameter of about 0.00000005 mm

Scientific notation is 5 x 10-8 mm

Computation with very large numbers is made easier with scientific notation.

Learning to Use Scientific Notation

When a number is written in scientific notation, the exponent tells you if the term is a large or a small number. A positive exponent indicates a large number and a negative exponent indicates a small number that is between 0 and 1.

Since it’s so useful, let’s look more closely at the details of scientific notation format.

Scientific Notation

A positive number is written in scientific notation if it is written as a x 10n where the coefficient a has a value such that 1 ≤ a < 10 and n is an integer.

Look at the numbers below. Which of the numbers is written in scientific notation?

Number

Scientific Notation?

Explanation

1.85 x 10-2

yes

1 ≤1.85 < 10

-2 is an integer

no

is not an integer

0.82 x 1014

no

0.82 is not ≥ 1

10 x 103

no

10 is not < 10

Which number below is written in scientific notation?

A) 4.25 x 100.08

B) 0.425 x 107

C) 42.5 x 105

D) 4.25 x 106

Show/Hide Answer

Writing Decimal Notation in Scientific Notation

Now let’s compare some numbers expressed in both scientific notation and standard decimal notation in order to understand how to convert from one form to the other. Take a look at the tables below. Pay close attention to the exponent in the scientific notation and the position of the decimal point in the decimal notation.

Large Numbers

Small Numbers

Decimal Notation

Scientific Notation

Decimal Notation

Scientific Notation

500.0

5 x 102

0.05

5 x 10-2

80,000.0

8 x 104

0.0008

8 x 10-4

43,000,000.0

4.3 x 107

0.00000043

4.3 x 10-7

62,500,000,000.0

6.25 x 1010

0.000000000625

6.25 x 10-10

To write a large number in scientific notation, move the decimal point to the left to obtain a number between 1 and 10. Since moving the decimal point changes the value, you have to multiply the decimal by a power of 10 so that the expression has the same value.

Let’s look at an example.

180,000. =      18,000.0  x  101

                                                             1,800.00  x 102

                                                                180.000 x 103

                                                                  18.0000 x 104

                                                                    1.80000 x 105

                                   180,000 = 1.8 x 105

Notice that the decimal point was moved 5 places to the left, and the exponent is 5.

The world population is estimated to be about 6,800,000,000 people. Which answer expresses this number in scientific notation?

A) 7 x 109

B) 0.68 x 1010

C) 6.8 x 109

D) 68 x 108

Show/Hide Answer

Advanced Question

Represent 1.00357 x 10-6 in decimal form.

A) 1.00357000000

B) 0.000100357

C) 0.000001357

D) 0.00000100357

Show/Hide Answer

To write a small number (between 0 and 1) in scientific notation, you move the decimal to the right and the exponent will have to be negative.

                             0.00004     =        00.0004   x  10-1

                                               000.004   x  10-2

                                                           0000.04   x   10-3

                                                           00000.4   x  10-4

                                                           000004.  x  10-5

                                       0.00004     =   4 x 10-5

0.82 x 10-6

3 0
3 years ago
Read 2 more answers
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