Balance the reaction:
a FeS₂ + b O₂ => c Fe₂O₃ + d SO₂
Matching up the atoms on either side gives the system of equations
• Fe: a = 2c
• S: 2a = d
• O: 2b = 3c + 2d
We have 3 equations with 4 unknowns. Suppose we fix one of the variables, say a = 2. Then
2 = 2c ===> c = 1
2•2 = d ===> d = 4
2b = 3•1 + 2•4 ===> b = 11/2
and so the balanced reaction is
2 FeS₂ + 11/2 O₂ => Fe₂O₃ + 4 SO₂
or
4 FeS₂ + 11 O₂ => 2 Fe₂O₃ + 8 SO₂
Look up the molar masses of each component element:
• Fe: 55.845 g/mol
• S: 32.06 g/mol
• O: 15.999 g/mol
Then the molar masses of the reactants are
• FeS₂: 119.965 g/mol
• O₂: 31.998 g/mol
Convert the given masses to moles:
• (882 g FeS₂) (1/119.965 mol/g) ≈ 7.35 mol FeS₂
• (528 g O₂) (1/31.998 mol/g) ≈ 16.5 mol O₂
In the balanced reaction, 4 moles of FeS₂ combine with 11 moles of O₂, or equivalently 1 mol FeS₂ is needed for every 11/4 = 2.75 mol O₂. Now,
(16.5 mol O₂) / (2.75 mol O₂) = 6
while
(7.35 mol FeS₂) / (1 mol FeS₂) = 7.35
which means the reaction consumes all of the available O₂ and we're left with 7.35 - 6 = 1.35 mol FeS₂.
For every 11 mol O₂ among the reactants, 2 mol Fe₂O₃ are produced. Then 16.5 mol O₂ makes for
(11 mol O₂) / (2 mol Fe₂O₃) = (16.5 mol O₂) / x
===> x = 3.00 mol Fe₂O₃
which has a mass of
(3.00 mol Fe₂O₃) (160. g/mol) ≈ 479 g Fe₂O₃
To find the mass of Fe2O3 produced, we convert the given masses of FeS2 and O2 into moles and use the molar ratio in the balanced chemical equation. The mass of Fe2O3 produced is 1170.68 grams.
To solve this problem, we need to convert the given masses of FeS2 and O2 into moles. From the balanced chemical equation, we can see that the molar ratio between FeS2 and Fe2O3 is 1:1.
This means that the number of moles of Fe2O3 produced will be equal to the number of moles of FeS2. We can use the molar mass of Fe2O3 to convert moles to grams.
First, we calculate the number of moles of FeS2 and O2:
Moles of FeS2 = 882 g / 120.17 g/mol = 7.34 mol
Moles of O2 = 528 g / 32 g/mol = 16.5 mol
Since the molar ratio between FeS2 and Fe2O3 is 1:1, we know that 7.34 moles of FeS2 will produce 7.34 moles of Fe2O3.
Now, we can calculate the mass of Fe2O3:
Mass of Fe2O3 = Moles of Fe2O3 x Molar mass of Fe2O3
Mass of Fe2O3 = 7.34 mol x 159.69 g/mol = 1170.68 g
Therefore, 1170.68 grams of Fe2O3 are produced.
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Lila collected 116gallons of honey. After using some of the honey she collected for baking, Lila found that she only had 34 gallon of honey left. How much honey did she use for baking?
Answer: She would've used 82 gallons
A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?
Answer:
[tex]\huge\boxed{y-4=8(x+6)}[/tex]
Step-by-step explanation:
The equation of a line in the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m-slope\\\\(x_1;\ y_1)-point[/tex]
We have:
[tex]m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4[/tex]
Substitute:
[tex]y-4=8(x-(-6))\\\\y-4=8(x+6)[/tex]
A cookie factory uses 9/10 of a bag of flour in each batch of cookies. The factory used 4 1/2 bags of flour yesterday. How many batches of cookies did the factory make?
Find The slope of the line represented by the points in the table (use your notes to get the formula it needed).
4.
Number
of Hours
1
2.
3
4
Cost
($)
$17
$29
$41
$53
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,380 ft Determine the flag's width and length if the length is ft greater than the width.
Answer:
Length is 50ft, width is 160ft
Step-by-step explanation:
The graph shows the distribution of the amount of time (in minutes) people spend watching TV shows on a popular streaming service. The distribution is approximately Normal, with a mean of 71 minutes and a standard deviation of 15 minutes.
A graph titled Streaming T V has time (minutes) on the x-axis, going from 11 to 131 in increments of 15. The highest point of the curve is at 71.
What percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service?
a- 13.5%
b- 34%
c- 47.5%
d- 95%
answer:a 13.5
Using the normal distribution, it is found that the percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service is:
a) 13.5%
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 71, hence [tex]\mu = 71[/tex]The standard deviation is of 15, hence [tex]\sigma = 15[/tex]The proportion between 41 and 56 minutes is the p-value of Z when X = 56 subtracted by the p-value of Z when X = 41, hence:
X = 56:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{56 - 71}{15}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.16
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 71}{15}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.025
0.16 - 0.025 = 0.135
0.135 x 100% = 13.5%
Hence option a is correct.
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write an expression for "f increased by 3"
Answer:
f+3
incresed means +
Answer:
The expression for 'f increased by 3' will be f+3.
Step-by-step explanation:
This means that 3 will be added to 'f'. Since, 'f' is a variable and '3' is a numeral, therefore they cannot be added. The expression for it will be f+3.
Have a great day! :D
If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?
Answer:Full wall is 6 times 1/6 (6*1/6=1), so 6 times half a gallon, or 3 gallons.
Step-by-step explanation:
25+30=15x+10x
solve for X
Answer:
X=11/5
Step-by-step explanation:
Hope your cheating is nice
Answer:
[tex]x=\cfrac{11}{5}[/tex]
Step-by-step explanation:
[tex]25+30=15x+10x\\15x+10x=25+30\\25x=25+30\\25x=55\\\cfrac{25x}{25}=\cfrac{55}{25}\\x=\cfrac{11}{5}[/tex]
write the value of the underlined digit in words 6,302,450? 3 being the underlined number.
Answer:
Three hundred thousand
Step-by-step explanation:
Hope this helps
I NEED HELP ASAP! PLEASE
Answer:
16,32,16
Step-by-step explanation:
We can see that there is a pattern in this ratio table- 4, 8, 12. I can assume that the next number will be 16, beucase 4+4=8, 8+4=12, 12+4=16. For the apple juice, we just follow the same pattern as for the orange juice, by adding the number by itself, so the patttern is 8, 16,24, 32.
Share 7.20 naira between Tayo and Visit,so that Tayo gets 70 Kobo more than Bisi. how much does Tayo get?
Answer:
4.30 naira
Step-by-step explanation:
Splitting in half, we have that they both get 3.60 naira each. Adding 70 kobo to 3.60 naira, we have 4.30 naira. Since we need Tayo's share to be 70 kobo more than Bisi's, we give Tayo the bigger share and the left cash to Bisi (2.90 naira).
Tayo will get 3.95 more than the naira of the given shares.
What is an expression?In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that can be evaluated to obtain a value.
Let's call the amount that Visit gets "x".
According to the problem, Tayo gets 70 kobos (0.70 nairas) more than Visit. So, Tayo gets:
x + 0.70
The total amount of money shared between them is 7.20 naira. So, we can set up an equation:
x + (x + 0.70) = 7.20
Simplifying this equation, we get:
2x + 0.70 = 7.20
Subtracting 0.70 from both sides, we get:
2x = 6.50
Dividing both sides by 2, we get:
x = 3.25
To find out how much Tayo gets, we can use the equation we came up with earlier:
x + 0.70
Substituting x = 3.25, we get:
3.25 + 0.70 = 3.95
Therefore, Tayo will get 3.95 more than the naira.
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What is 10 - (-18) in a integer
Answer:
28
Step-by-step explanation:
10 - (-18)
=> 10 + 18
=> 28
Hoped this helped.
Answer:
10 - (-18)
= 10 + 18
= 28
Step-by-step explanation:
Help help help help help
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
Additional comment
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Peter Morris wants to verify the amount
deposited to his savings account. His new balance is $729.49,
his previous balance was $680.50, interest earned on his
account was $3.25, and withdrawals totaled $222.06. Find the
amount deposited to his savings account.
Answer:324.24??? Not sure just a guess.
Step-by-step explanation:
Testing a conjecture
What is the distance between -5 and 2?
units
So what do you think the answer would be
Answer:
the answer is 7
Step-by-step explanation:
maya used a drwaing to divide 86 she made groups of 17 with 1 left over. Draw a picture to determine how many groups may made.
Check the picture below.
The number of groups that may make will be 5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Maya utilized a drawing to partition 86 she made gatherings of 17 with 1 remaining over.
Then the number of the groups that may make will be given as,
⇒ (86 - 1) / 17
Simplify the expression, then we have
⇒ (86 - 1) / 17
⇒ 85 / 17
⇒ 5
The number of groups that may make will be 5.
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how can you simplify 24 to 96
Step-by-step explanation:
Reduce 24/96 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.
24 ÷ 2496 ÷ 24.
Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.
Step-by-step explanation:
Here is an Explanation
Reduce 24/96 to lowest terms
The simplest form of
24
96
is
1
4
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 24 and 96 is 24
Divide both the numerator and denominator by the GCD
24 ÷ 24
96 ÷ 24
Reduced fraction:
1
4
Therefore, 24/96 simplified to lowest terms is 1/4.
6=4x^3-10x^2 please hurry it's a test
Answer:
x = about 2.705
Step-by-step explanation:
Does this help? Are you supposed to find x? That's what I did but you don't state what exactly you need.... So.....?
2+5(8-5)
Is it 17 or 21 cause me in my sister having a full blown argument right now
Answer:
The answer is seventeen (17)
4.8 x 7 what is this problem?
Answer:
33.6
Step-by-step explanation:
This problem is a multiplication problem.
=> 4.8 x 7
=> 33.6
Therefore, the solution to 4.8 x 7 is 33.6.
The problem 4.8 x 7 is a multiplication problem. The solution to 4.8 x 7 is 33.6.
Here, we have,
given that,
The problem 4.8 x 7 is a multiplication problem.
To solve it, we multiply 4.8 by 7.
4.8 x 7
Therefore, the answer to the problem 4.8 x 7
This problem is a multiplication problem.
=> 4.8 x 7
=> 33.6
Therefore, the solution to 4.8 x 7 is 33.6.
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Which inequality correctly compares 2/5, 1/8, and 5/7
• 1/8 < 2/5 < 5/7
• 1/8 < 5/7 < 2/5
• 2/5 < 5/7 < 1/8
• 2/5 < 1/8 < 5/7
Plz be quick I’m being timed
Answer:
second or last
Step-by-step explanation:
Answer: 1/8 < 2/5 < 5/7
Step-by-step explanation:
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $8 per linear foot to install and the farmer is not willing to spend more than $4000, find the dimensions for the plot that would enclose the most area.
The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.
In this question we shall use the first and second derivative tests to determine the optimal dimensions of a rectangular plot of land. The perimeter ([tex]p[/tex]), in feet, and the area of the rectangular plot ([tex]A[/tex]), in square feet, of land are described below:
[tex]p = 2\cdot (w+l)[/tex] (1)
[tex]A = w\cdot l[/tex] (2)
Where:
[tex]w[/tex] - Width, in feet.[tex]l[/tex] - Length, in feet.In addition, the cost of fencing of the rectangular plot ([tex]C[/tex]), in monetary units, is:
[tex]C = c\cdot p[/tex] (3)
Where [tex]c[/tex] is the fencing unit cost, in monetary units per foot.
Now we apply (2) and (3) in (1):
[tex]p = 2\cdot \left(\frac{A}{l}+l \right)[/tex]
[tex]\frac{C}{c} = 2\cdot (\frac{A}{l}+l )[/tex]
[tex]\frac{C\cdot l}{c} = 2\cdot (A+l^{2})[/tex]
[tex]\frac{C\cdot l}{c}-2\cdot l^{2} = 2\cdot A[/tex]
[tex]\frac{C\cdot l}{2\cdot c} - l^{2} = A[/tex] (4)
We notice that fencing costs are directly proportional to the area to be fenced. Let suppose that cost is the maximum allowable and we proceed to perform the first and second derivative tests:
FDT
[tex]\frac{C}{2\cdot c}-2\cdot l = 0[/tex]
[tex]l = \frac{C}{4\cdot c}[/tex]
SDT
[tex]A'' = -2[/tex]
Which means that length leads to a maximum area.
If we know that [tex]c = 8[/tex] and [tex]C = 4000[/tex], then the dimensions of the rectangular plot of land are, respectively:
[tex]l = \frac{4000}{4\cdot (8)}[/tex]
[tex]l = 125\,ft[/tex]
[tex]A = \frac{(4000)\cdot (125)}{2\cdot (8)} -125^{2}[/tex]
[tex]A = 15625\,ft^{2}[/tex]
[tex]w = \frac{15625\,ft^{2}}{125\,ft}[/tex]
[tex]w = 125\,ft[/tex]
The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.
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A fair, six-sided dice is thrown once.
Select the probability of a 3 showing on the dice.
Answer:
1/2
Step-by-step explanation:
The dice has 6 faces therefore the probability that three will show is 3/6 which when divided gives you 1/2
19 increased by twice joses savings
Answer:
19 x 2 38 is ur answer to the problem
solve for x
2/x -2 = 3/2x +3
Step-by-step explanation:
Brice brought two 2-liter bottles of sport drink to serve at basketball practice. How many 100-milliliter servings of sport drink did Brice bring?
A
Answer:
20 servings of 100-milliliter sports drink
Step-by-step explanation:
Parents of children with developmental disorders can apply for federal funding for psychosocial rehabilitation. A government sociologist wants to know what percentage of applicants for this funding are in poverty. She obtains access to all their applications, groups the applications by state, and takes a simple random sample from each state's applications. Identify the population of interest to the sociologist.
a. Applicants for the federal funding who were in poverty
b. Applicants for the federal funding
c. Applicants who received the federal funding
d. Applicants whose applications were examined
Answer:
Applicants for the federal funding
Step-by-step explanation:
Line f passes through points (5, 10) and (9, 1). Line g is parallel to line f. What is the slope of line g?
Answer:
-9/4
also known as
-2 1/4
Step-by-step explanation:
(10-1)/(5-9) = 9/-4
parallel = same slope
Answer:
slope = - [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Calculate the slope m of line f using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (9, 1 )
m = [tex]\frac{1-10}{9-5}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]
Parallel lines have equal slopes , then
slope of line g = - [tex]\frac{9}{4}[/tex]
geomtry plz help 15 points
Answer:
it should be 60°. the single marks on each side means they are all equal
Answer:
m∠L=60º
Step-by-step explanation:
The triangle is an equilateral triangle meaning that all angles and sides are equal.
m∠L=60º
Hope this helps :)