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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Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9
21x/8−3y=−6
5. The price for
seedless oranges is $1.55 for the first
pound and $0.75 for each additional pound. Paul Paid $
5.35 to buy sour oranges.
How many pounds of seedless oranges did he buy?
Answer:
5 1/15 lb
Step-by-step explanation:
Equation:
5.35 = 1.55 + 0.75x [tex]\longmapsto\\[/tex] Subtract 1.55 from both sides
3.8 = 0.75x [tex]\longmapsto[/tex] Divide both sides by 0.75
5 1/15 lb
-Chetan K
Simplify the ratio 25 :15
Answer:
5/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 25 and 15 is 5
Divide both the numerator and denominator by the GCD
25 ÷ 5
15 ÷ 5
Reduced fraction:
5
3
Therefore, 25/15 simplified to lowest terms is 5/3.
brailiest pls hope it helps
x+3-3= -6
its my quick hot sauce
passez une bonne journée points faciles 2+2=?
5x + 3y = 4; solve for x.
Answer:
x= - 3/5y +4/5
Step-by-step explanation:
isolate x:
5x+ 3y= 4
5x= -3y+ 4
x= -3/5y +4/5
Calcula el área de un círculo cuyo diámetro mide 4 metros.
Answer:
12.56 m²
Step-by-step explanation:
Circle with diameter 4 has a radius of 2
Area of Circle = πr²
Area of Circle = 3.14(2²)
Area of Circle = 12.56
El círculo de diámetro 4 tiene un radio de 2
Área del círculo = πr²
Área del círculo = 3,14 (2²)
Área del círculo = 12.56
-Chetan K
Hello Please help me.
Answer:
Step-by-step explanation:
1) D
2) B
3) no solution
y ≤ 0.5x - 4 is area C including the red line
y ≥ 0.5x + 5 is area A including the blue line
PASSCODE DECODER RING SHRI o If it takes 6 hours to bake 3 cakes, then at that rate, how many cakes could be baked in 12 hours? If Ava makes $15 in 2 hours, what is her rate of pay? 3nt took 5 hours to mow 6 yards. At that rate, how many yards can be mowed in 20 hours? co malaya $ o 94 If 10 bags of ice cost $12, how much does 1 bag cost? 5 A car gets 30 miles per gallon of gas. At that rate, how many gallons would it take for the car to go 360 If you type 75 words in 3 minutes, at what rate do you type? RECORD PASSCODE Directions Complete the questions, match each answer on the decoder eing, med record the letter from that spot When complete, go back to The Nission page te access the posscode reader to check your answer and solve another part of the mystery
The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:
1. Given that 3 cakes takes 6 hours to bake, then:
1 cake = [tex]\frac{6}{3}[/tex]
= 2 hours
So that;
the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]
= 6
The number of cake to be baked in 12 hours is 6.
2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]
= $7.5 pr hour
Thus Ava's rate of pay is $7.5 per hour.
3. It took 5 hours to mow 6 yards. Thus;
To mow 1 yard = [tex]\frac{5}{6}[/tex] hours
The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]
= 20 x [tex]\frac{6}{5}[/tex]
= 24
The number of yards to be mowed in 20 hours is 24.
4. Given that 10 bags of rice cost $12, then;
1 bag = [tex]\frac{12}{10}[/tex]
= 1.2
1 bag = $1.2
The cost of a bag of rice is $1.2.
5. Rate = 30 miles per gallon
The number of gallons required = [tex]\frac{360}{30}[/tex]
= 12
Thus 12 gallons would be required by the car to travel 360 miles.
6. Rate = [tex]\frac{75}{3}[/tex]
= 25
Rate = 25 words per minute
The typing speed is 25 words per minute.
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Write a linear function f give f(0)=2 f(3)=-1
Answer:
f(x) = ax + b,
Step-by-step explanation:
Am Not Really Sure About The Answer, So Pls Try And Cross Check It
The company charges $85 for each
16-pound bowling ball. Over the past several months, the company sold 100,000 bowling balls. How much did the company earn for these sales?
Answer:
8,500,000
Step-by-step explanation:
if they sold 100,000 bowling balls and they are all 16 pound balls then the equation is (100,000 x 85) with then equals 8,500,000.
The states that a2 + b2 = c2, when finding the length of a side for a right triangle.
Answer:
Pythagoras Theorem
Step-by-step explanation:
Answer:
so if I do b1+a1=c1 ok me done
GIVING OUT BRAINLIEST
Answer:
y = 700x - 8
Step-by-step explanation:
2
Technology required. A plane leaves the ground with an elevation angle of 6 degrees.
The plane travels 10 miles horizontally.
a. How high is the plane at the time?
b. What is the distance of the plane's path?
Round answers to the nearest tenths.
How high is the plane at this time?
miles
What is the distance of the plane's path?
miles
The height of the plane at that time is 1.1 miles
The distance of the plane's path is 10.1 miles
The situation forms a right angle triangle.
Using trigonometric ratio,
tan 6° = opposite / adjacent
The height of the plane is the opposite side of the triangle. The adjacent
side is the distance travelled horizontally. Therefore,
tan 6° = h / 10
cross multiply
h = 10 tan 6°
h = 10 × 0.10510423526
h = 1.05104235266
height of the plane at that time = 1.1 miles
The distance of the plane path is the hypotenuse of the triangle formed.
Therefore,
c² = a² + b²
c² = 10² + 1.1²
c = √101.21
c = 10.0603180864
c = 10.1 miles
plane's path = 10.1 miles
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Find x.
Multiple choice.
8, 9, 10, 11
Answer:
Step-by-step explanation:
As RS is a straight line sin ∠RUT = sin ∠SUT
line UT bisects ∠RTS
Let θ be ∠UTR and ∠UTS
Law of sines
Left side triangle
3x/sinθ = 40/sinRUT
sinRUT = 40sinθ / 3x
Right side triangle
(x + 2) / sinθ = 16 / sinSUT
(x + 2) / sinθ = 16 / (40sinθ / 3x)
(x + 2)(40sinθ / 3x) = 16sinθ
(x + 2)(40sinθ) = 48xsinθ
40xsinθ + 80sinθ = 48xsinθ
40x + 80 = 48x
80 = 8x
x = 10
What's the kinetic energy of an object that has a mass of 12 kilograms and moves with a velocity of 10 m/s?
Answer:
Step-by-step explanation:
Assuming it has no spin
KE = ½mv²
KE = ½(12)10²
KE = 600 J
is the function y = -7 a linear function?
Explanation:
The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.
The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.
Holly ate 3 brownies from a pan with nine pieces what two equivalent fractions describe how much she ate?
The following dataset represents the number of minutes a student listens to music in a week for 50 students, sorted and
arranged in rows of 5. What is the 80th percentile of the data?
Using the percentile relation, the 80th percentile of the data is 77.
The 80th percentile of a data can be defined as :
80th percentile = 80% × (n+1)th term n = sample size = 50Hence, we have ;
80th percentile = 0.8 × (50 + 1)th term
80th percentile = 40.8 term = 41th term
Since, the days is sorted, the 80th percentile is the value at index 41.
Hence, the 80th percentile of the data is 77.
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Solve the inequalities from parts A and D for the variables b and n, respectively.
Part A:2b<56
Part D:n<56
Answer:
Part A: b < 28
Part D: n < 56
Step-by-step explanation:
part A: divide each term in and simplify.
Inequality Form: b < 28
part d: this is already solved but can be shown in multiple forms.
Inequality Form: n < 56
Interval Notation: ( -∞ , 56)
What's fish + nine?
I NEED HELP!?
Answer:
nine fish............
Answer: 9 Fish
Step-by-step explanation:
Adult tickets to the fall play cost $8 and student tickets cost $4 . The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?
The drama class sold blank adult tickets.
Answer:
60 adult tickets were bought.
Step-by-step explanation:
9514 1404 393
Answer:
80 tickets
Step-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then a-30 is the number of student tickets sold. The total revenue is ...
8a +4(a -30) = 840
12a -120 = 840 . . . . . . eliminate parentheses
a -10 = 70 . . . . . . . . . divide by 12
a = 80 . . . . . . . . . . . add 10
The drama class sold 80 adult tickets.
__
Check
The number of student tickets was 30 less, so 50 student tickets. The total revenue was ...
50($4) +80($8) = $200 +640 = $840 . . . . as required
Simplify this expression:
[tex](-3c^8)(2c^6d^8)\implies (-3)(2)c^8c^6d^8\implies -6c^{8+6}d^8\implies -6c^{14}d^8[/tex]
You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?
Answer:
5200 AED or 1404 USD
Step-by-step explanation:
You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.
5000 * 1.04 = 5200
If the question is asking in USD, the conversion rate from AED to USD is
AED * 0.27 = USD
We can substitute
5200 AED* 0.27 = 1404 USD.
An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance around the track is 400 meters. What dimensions for the rectangular region maximize the area of the rectangular region?
Answer:
width of rectangle = 2R = (200/π) = 400/π meters
length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters
Step-by-step explanation:
The distance around the track (400 m) has two parts: one is the circumference of the circle and the other is twice the length of the rectangle.
Let L represent the length of the rectangle, and R the radius of one of the circular ends. Then the length of the track (the distance around it) is:
Total = circumference of the circle + twice the length of the rectangle, or
= 2πR + 2L = 400 (meters)
This equation is a 'constraint.' It simplifies to πR + L = 400. This equation can be solved for R if we wish to find L first, or for L if we wish to find R first. Solving for L, we get L = 400 - πR.
We wish to maximize the area of the rectangular region. That area is represented by A = L·W, which is equivalent here to A = L·2R = 2RL. We are to maximize this area by finding the correct R and L values.
We have already solved the constraint equation for L: L = 400 - πR. We can substitute this 400 - πR for L in
the area formula given above: A = L·2R = 2RL = 2R)(400 - πR). This product has the form of a quadratic: A = 800R - 2πR². Because the coefficient of R² is negative, the graph of this parabola opens down. We need to find the vertex of this parabola to obtain the value of R that maximizes the area of the rectangle:
-b ± √(b² - 4ac)
Using the quadratic formula, we get R = ------------------------
2a
-800 ± √(6400 - 4(0)) -1600
or, in this particular case, R = ------------------------------------- = ---------------
2(-2π)
-800
or R = ----------- = 200/π
-4π
and so L = 400 - πR (see work done above)
These are the dimensions that result in max area of the rectangle:
width of rectangle = 2R = (200/π) = 400/π meters
length of rectangle = 400 - π(200/π) = 400 - 200 = 200 meters
Six less than the product of four and a number X
[tex]6 < 4x[/tex]
Hope this helps:)
In a school of 1,000 students, 600 study physics, 300 study Calculus, and 100 study both. What is the probability that someone who does not study calculus studies physics? Give your answer as a decimal to one decimal place.
The probability that someone who does not study calculus studies physics is 0.5
Since there are 1000 students in the school and 600 study physics, 300 study Calculus, and 100 study both, we need to find the number of students that study only physics to find the probability that someone who does not study calculus studies physics.
Let x = number of students who study both = 100, y = number of students who studies only physics and z = number of students who studies only calculus.
Given that the number of students who study physics are 600, we have
x + y = 600 (1)
Also, given that the number of students who study calculus are 300, we have
x + z = 300 (2)
From (1)
y = 600 - x
y = 600 - 100
y = 500
So, the probability of students that study only physics = probability that someone who does not study calculus studies physics is
P(physics) = number of students studying only physics/total number of students
= 500/1000
= 5/10
= 0.5
So, probability that someone who does not study calculus studies physics is 0.5
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Write an equation perpendicular to x-4y=20 that passes through the point (2,-5)
Answer:
x – 4y = 20
Step-by-step explanation:
Put the line above in Slope Intercept Form
You can do that by solving for y
y = (1/4)x - 5
The slope, m above is 1/4
The perpendicular will a negative inverse slope m = -4
In Slope Intercept Form your perpendicular line starts below
y = -4x + b
Use the coordinates of the given point on the line (2, -5) to insert and solve for b
-5 = -4(2) + b
-5 = - 8 + b
Add 8 to both sides of the equation
-5 + 8 = b
3 = b
Finally your perpendicular line
y = -4x + 3
I hope this helps
Check my arithmetic
Answer:
×4y=20
Step-by-step explanation:
mark me as brainlist please
If a = 3 and b = 5, find a/b= option 1 = 5/3 option 2 = 3/5 option 3 = 2/5
Answer:
34
Step-by-step explanation:
yeah
Answer:
Answer is option 2 = 3/5
Step-by-step explanation:
a/b=3/5
Please explain this to me please
Will give brainly if you actually answer the questions
Answer:
Step-by-step explanation:
11) $175(1 - 0.30)(1 + 0.06) = $129.85
12) slope is 2, so basic equation is
y = 2x + b
plug in your desired point
-5 = 2(-4) + b
b = 3
y = 2x + 3
