after you study each sample problem and solution, work out the exercises on problem set paper. make sure to show all work.
example
the nucleus of a chromium atom contains 24 protons. what is the total charge on the nucleus of a chromium atom?
solution
step 1: list the given, known, and unknown values.
given: number of protons = 24
charge on one proton/electron, ( e = 1.6 imes 10^{-19} , ext{c} )
unknown: total charge = ? c
step 2: since we know the charge on one proton, we just multiply that by the total number of protons and solve.
( 24 , e )
( (24)(1.6 imes 10^{-19} , ext{c}) )
( 3.8 imes 10^{-18} , ext{c} )
exercises
1. the nucleus of a carbon atom contains six protons. what is the total charge on a carbon nucleus?
2. the nucleus of a lithium atom contains three protons. what is the total charge on a lithium nucleus?
3. the nucleus of an iron atom contains 26 protons. what is the total charge on the nucleus of an iron atom?
4. the nucleus of an oxygen atom contains 8 protons. what is the total charge on the nucleus of an oxygen atom?
5. what is the combined charge on ( 6.2 imes 10^{20} ) electrons?
6. what is the combined charge on ( 4.9 imes 10^{23} ) electrons?
7. what is the combined charge on ( 7.4 imes 10^{15} ) electrons?

Question

after you study each sample problem and solution, work out the exercises on problem set paper. make sure to show all work.
example
the nucleus of a chromium atom contains 24 protons. what is the total charge on the nucleus of a chromium atom?
solution
step 1: list the given, known, and unknown values.
given: number of protons = 24
       charge on one proton/electron, ( e = 1.6 	imes 10^{-19} , 	ext{c} )
unknown: total charge = ? c
step 2: since we know the charge on one proton, we just multiply that by the total number of protons and solve.
       ( 24 , e )
       ( (24)(1.6 	imes 10^{-19} , 	ext{c}) )
       ( 3.8 	imes 10^{-18} , 	ext{c} )
exercises
1. the nucleus of a carbon atom contains six protons. what is the total charge on a carbon nucleus?
2. the nucleus of a lithium atom contains three protons. what is the total charge on a lithium nucleus?
3. the nucleus of an iron atom contains 26 protons. what is the total charge on the nucleus of an iron atom?
4. the nucleus of an oxygen atom contains 8 protons. what is the total charge on the nucleus of an oxygen atom?
5. what is the combined charge on ( 6.2 	imes 10^{20} ) electrons?
6. what is the combined charge on ( 4.9 	imes 10^{23} ) electrons?
7. what is the combined charge on ( 7.4 	imes 10^{15} ) electrons?

Accepted Answer

### Exercise 1
# Explanation:
## Step 1: List values
Given: number of protons = 6, charge on one proton $ e = 1.6 \times 10^{-19}\, \text{C} $
Unknown: total charge $ = ?\, \text{C} $

## Step 2: Multiply protons and charge
Total charge $ = 6 \times e = 6 \times 1.6 \times 10^{-19}\, \text{C} $
$ = 9.6 \times 10^{-19}\, \text{C} $

# Answer: $ 9.6 \times 10^{-19}\, \text{C} $

### Exercise 2
# Explanation:
## Step 1: List values
Given: number of protons = 3, $ e = 1.6 \times 10^{-19}\, \text{C} $
Unknown: total charge $ = ?\, \text{C} $

## Step 2: Multiply protons and charge
Total charge $ = 3 \times 1.6 \times 10^{-19}\, \text{C} $
$ = 4.8 \times 10^{-19}\, \text{C} $

# Answer: $ 4.8 \times 10^{-19}\, \text{C} $

### Exercise 3
# Explanation:
## Step 1: List values
Given: number of protons = 26, $ e = 1.6 \times 10^{-19}\, \text{C} $
Unknown: total charge $ = ?\, \text{C} $

## Step 2: Multiply protons and charge
Total charge $ = 26 \times 1.6 \times 10^{-19}\, \text{C} $
$ = 4.16 \times 10^{-18}\, \text{C} $ (or $ 4.2 \times 10^{-18}\, \text{C} $ if rounded)

# Answer: $ 4.16 \times 10^{-18}\, \text{C} $ (or $ 4.2 \times 10^{-18}\, \text{C} $)

### Exercise 4
# Explanation:
## Step 1: List values
Given: number of protons = 8, $ e = 1.6 \times 10^{-19}\, \text{C} $
Unknown: total charge $ = ?\, \text{C} $

## Step 2: Multiply protons and charge
Total charge $ = 8 \times 1.6 \times 10^{-19}\, \text{C} $
$ = 1.28 \times 10^{-18}\, \text{C} $

# Answer: $ 1.28 \times 10^{-18}\, \text{C} $

### Exercise 5
# Explanation:
## Step 1: List values
Given: number of electrons = $ 6.2 \times 10^{20} $, charge on one electron $ = -1.6 \times 10^{-19}\, \text{C} $ (negative because electrons have negative charge)
Unknown: combined charge $ = ?\, \text{C} $

## Step 2: Multiply electrons and charge
Combined charge $ = 6.2 \times 10^{20} \times (-1.6 \times 10^{-19}\, \text{C}) $
$ = 6.2 \times (-1.6) \times 10^{20 - 19}\, \text{C} $
$ = -9.92 \times 10^{1}\, \text{C} = -99.2\, \text{C} $

# Answer: $ -99.2\, \text{C} $ (or $ -9.9 \times 10^{1}\, \text{C} $)

### Exercise 6
# Explanation:
## Step 1: List values
Given: number of electrons = $ 4.9 \times 10^{23} $, charge on one electron $ = -1.6 \times 10^{-19}\, \text{C} $
Unknown: combined charge $ = ?\, \text{C} $

## Step 2: Multiply electrons and charge
Combined charge $ = 4.9 \times 10^{23} \times (-1.6 \times 10^{-19}\, \text{C}) $
$ = 4.9 \times (-1.6) \times 10^{23 - 19}\, \text{C} $
$ = -7.84 \times 10^{4}\, \text{C} $

# Answer: $ -7.84 \times 10^{4}\, \text{C} $ (or $ -78400\, \text{C} $)

### Exercise 7
# Explanation:
## Step 1: List values
Given: number of electrons = $ 7.4 \times 10^{15} $, charge on one electron $ = -1.6 \times 10^{-19}\, \text{C} $
Unknown: combined charge $ = ?\, \text{C} $

## Step 2: Multiply electrons and charge
Combined charge $ = 7.4 \times 10^{15} \times (-1.6 \times 10^{-19}\, \text{C}) $
$ = 7.4 \times (-1.6) \times 10^{15 - 19}\, \text{C} $
$ = -11.84 \times 10^{-4}\, \text{C} = -1.184 \times 10^{-3}\, \text{C} $ (or $ -0.001184\, \text{C} $)

# Answer: $ -1.184 \times 10^{-3}\, \text{C} $ (or $ -0.001184\, \text{C} $)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Exercise 1

Step 1: List values

Step 2: Multiply protons and charge

Step 1: List values

Step 2: Multiply protons and charge

Step 1: List values

Step 2: Multiply protons and charge

Answer:

Exercise 2