Combining 0.288 mol Fe2O3 with excess carbon produced 18.1 g Fe. What is the actual yield of iron in moles

Answers

Answer 1

Answer:

Answer:

To calculate the actual yield of iron in moles, we need to use the molar mass of iron (Fe) and the given mass of iron produced.

The molar mass of iron (Fe) is approximately 55.845 g/mol.

Given:

Amount of Fe2O3 = 0.288 mol

Mass of Fe produced = 18.1 g

To find the moles of Fe produced, we can use the molar mass of Fe:

moles of Fe = mass of Fe / molar mass of Fe

moles of Fe = 18.1 g / 55.845 g/mol

moles of Fe ≈ 0.324 mol

Therefore, the actual yield of iron in moles is approximately 0.324 mol.

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You have 6 different video games. How many different ways can you arrange the games side by side on a shelf?

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36 ways to stack 6+6+6+6+6+6

A vegetable garden with an area of 200 square feet is to be fertilized. If the length of the garden is 1 foot less than three times the width, find the dimensions of the garden. Please show work.

Answers

Answer:

Dimensions of the garden are 24 feet by 8.33 feet.

Step-by-step explanation:

Let the dimensions of the vegetable garden is length = l and width = w foot

Area of the vegetable garden = 200 square feet

Since length of the garden is 1 foot less than the 3 times the width.

l = 3w - 1

Area of the garden = w × l = 200

w(3w - 1) = 200

3w² - w = 200

3w² - w - 200 = 0

By quadratic formula

w = $\frac{1\pm \sqrt{1^(2)+2400}}{6}$

= $(1\pm √(2401))/(6)$

= $(1\pm 49)/(6)$

w = -8 or 8.33 foot

Since dimensions can not be negative therefore, width of the garden will be 8.33 foot

Since l = 3w - 1

= 3×8.33 - 1

= 25 - 1

= 24

Dimensions of the garden are 24 feet by 8.33 feet

Ok so I like to go in steps with these questions- first draw a picture and identify your variables.

W=width
L= 3w-1

Now we know that length times width gets us area so we plug in our variables into the area equation.

200 = w(3w-1)

When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0

Either factor that or use the quadratic formula to get
w= 8.33 and w= -8

Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.

Final answer:

w= 8.33ft
l= 23.99ft

*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*

A local hamburger shop sold a combined total of 574 hamburgers and cheeseburgers on Saturday. There were 74 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?

Answers

500 hamburgers, I believe.

Brine is a solution of salt and water. If a tub contains 50 gallons of a 5% solution of brine, how much water must evaporate to change it to an 8% solution?

Answers

Let x = amt of water evaporated :.05(50) = .08(50-x) 2.5 = 4 - .08x .08x = 4 - 2.5 .08x = 1.5 x = 18.75 lb of water evaporated : ; Check; amt of salt remains the same, only the percentage is different, right? .05(50) = .08(50-18.75) .05(50) = .08(31.25) 2.5 = 2.5

In ΔFGH, the measure of ∠H=90°, the measure of ∠G=21°, and FG= 9 feet. Find the length of GH to the nearest tenth of a foot.

Answers

Answer: 8.4 feet

Step-by-step explanation:

In ΔFGH, the measure of ∠H=90°, the measure of ∠G=21°, and FG = 9 feet. Find the length of GH to the nearest tenth of a foot.

(opposite of ∠G)

(adj. to ∠G)

(hypotenuse)

21°

\text{What function uses the HYPOTENUSE and the ADJACENT?}

What function uses the HYPOTENUSE and the ADJACENT?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos G = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{9}

cosG=

hypotenuse

adjacent

\cos 21=\frac{x}{9}

cos21=

9\cos 21=x

9cos21=x

Cross multiply.

x=8.4022\approx \mathbf{8.4}\text{ feet}

x=8.4022≈8.4 feet

Type into calculator and roundto the nearest tenth of a foot.

8.4

(opposite of ∠G)

(adj. to ∠G)

(hypotenuse)

21°

4. Find the average rate ofchange, from 20 to 80 in
the table below.
х
20
40
60
80
100
y
15
35
65
105
215

Answers

Answer:

20 x 80 = 160

15 x 105 = 1,575

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