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faust18 [17]
3 years ago
10

N2 + 3H2 → 2NH3

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Step-by-step explanation:

1. N2 + 3H2 → 2NH3

How many moles of NH3 could you make with 4.2021 g of N2?

From the reaction;

1 mol of N2 produces 2 mol of NH3

1 mol of N2 = 14g of N2

14g of N2 produces 2 mol of NH3

4.2021 g of N2 produces x mol of NH3

14 = 2

4.2021 = x

x = 4.2021  * 2 / 14 = 0.6003 mol of NH3

2. 2Na + Cl2 → 2NaCl

How many moles of Cl2 do you need to use in order to react with 34.485 g of Na?

From the equation of the reaction;

2 mol of Na reacts with 1 mol of Cl2

1 mol of Na = 23g of Na

2 mol of Na - 46g of Na

46g of Na reacts with 1 mol of Cl2

4.485 g of Na reacts with x mol of Cl2

46 = 1

4.485 = x

x = 4.485 * 1 / 46 = 0.0975 mol of Cl2

3. H2SO4 + 2NaNO2 → 2HNO2 + Na2SO4

How many grams of NaNO2 do you need in order to make 24.14714 g of Na2SO4?

From the reaction;

2 mol of NaNO2 produces 1 mol of Na2SO4

2 mol of NaNO2 = 68.995 g/mol * 2mol = 137.99g

1 mol of Na2SO4 = 142.04 g

137.99g of NaNO2 produces 142.04 g of Na2SO4

xg of NaNO2 produces 24.14714 g of Na2SO4?

137.99 = 142.04

x = 24.14714

x = 24.14714 * 137.99 / 142.04 = 23.459g

4. 2Na + 2H2O → 2NaOH + H2

How many grams of NaOH could you make with 8.0465 g of Na?

From the reaction;

2 mol of Na produces 2 mol of NaOH

2 mol of Na = 23g/mol * 2mol = 46g

2 mol of NaOH = 40g/mol * 2 = 80g

46 g of Na produces 80g of NaOH

8.0465 g of Na produces xg of NaOH

46 = 80

8.0465 = x

x = 8.0465 * 80 / 46 = 13.994g

5. 2Mg + O2 → 2MgO  

If you are burning 5.8332 g of Mg, how many grams of MgO will this make?

From the reaction;

2 mol of Mg produces 2 mol of MgO

2 mol of Mg = 24 g/mol * 2mol = 48g

2 mol of MgO = 40.3 g/mol  * 2mol = 80.6g

48g of Mg produces 80.6 g  of MgO

5.8332 g of Mg produces xg of MgO

48 = 80.6

5.8332 = x

x = 5.8332 * 80.6 / 48   = 9.8g

6. FeCl3 + 3NaOH → Fe(OH)3 + 3NaCl

How many grams of NaCl could you make with 2.43306 g of FeCl3?

From the reaction;

1 mol of FeCl3 produces 3 mol of NaCl

1 mol of FeCl3 = 162.2 g

3 mol of NaCl = 58.44 g/mol * 3 mol = 175.32 g

162.2g of FeCl3 produces 175.32 g of NaCl

2.43306 g of FeCl3 produces xg of NaCl

162.2 = 175.32

2.43306 = x

x = 2.43306 * 175.32 / 162.2 = 2.63g

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iris [78.8K]

Answer:

y = - \frac{4}{3} x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

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Answer:

n=(\frac{1.960(10)}{5})^2 =15.36 \approx 16

So the answer for this case would be n=16 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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Solution to the problem

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The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (2)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (3)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.96, replacing into formula (3) we got:

n=(\frac{1.960(10)}{5})^2 =15.36 \approx 16

So the answer for this case would be n=16 rounded up to the nearest integer

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