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Goryan [66]
3 years ago
9

A venti latte (502mL) contains 0.322g caffeine, C8H10N4O2, express this concentration in molarity.

Chemistry
1 answer:
Natalija [7]3 years ago
7 0

Answer:

0.00331M

Explanation:

Molarity of a solution can be calculated as follows:

Molarity = number of moles (n) ÷ volume (V)

In the information provided in this question, the volume = 502mL = 502/1000 = 0.502L, mass of caffeine = 0.322g

Molar mass of caffeine (C8H10N4O2), where C = 12, H = 1, N = 14, O = 16 is as follows:

Molar mass = 12(8) + 1(10) + 14(4) + 16(2)

= 96 + 10 + 56 + 32

= 194g/mol

Using, moles = mass/molar mass

moles = 0.322/194

moles = 1.66 × 10-³ moles

mole = 0.00166mol

Molarity = number of moles ÷ volume

Molarity = 0.00166mol ÷ 0.502L

Molarity = 0.00331M.

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We are asked to calculate the density of gold. The density of a substance is its mass per unit volume. It is calculated using the following formula.

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This is an incomplete question, here is a complete question.

Aqueous sulfuric acid (H₂SO₄) reacts with solid sodium hydroxide (NaOH) to produce aqueous sodium sulfate (Na₂SO₄) and liquid water (H₂O) . If 12.5 g of water is produced from the reaction of 72.6 g of sulfuric acid and 77.0 g of sodium hydroxide, calculate the percent yield of water. Round your answer in significant figures.

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First we have to calculate the moles of H_2SO_4 and NaOH.

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\text{Moles of }H_2SO_4=\frac{72.6g}{98g/mol}=0.741mol

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\text{Moles of }NaOH=\frac{\text{Given mass }NaOH}{\text{Molar mass }NaOH}

\text{Moles of }NaOH=\frac{77.0g}{40g/mol}=1.925mol

Now we have to calculate the limiting and excess reagent.

The balanced chemical equation is:

H_2SO_4+2NaOH\rightarrow Na_2SO_4+2H_2O

From the balanced reaction we conclude that

As, 1 mole of H_2SO_4 react with 2 mole of NaOH

So, 0.741 moles of H_2SO_4 react with 0.741\times 2=1.482 moles of NaOH

From this we conclude that, NaOH is an excess reagent because the given moles are greater than the required moles and H_2SO_4 is a limiting reagent and it limits the formation of product.

Now we have to calculate the moles of H_2O

From the reaction, we conclude that

As, 1 mole of H_2SO_4 react to give 2 mole of H_2O

So, 0.741 moles of H_2SO_4 react to give 0.741\times 2=1.482 moles of H_2O

Now we have to calculate the mass of H_2O

\text{ Mass of }H_2O=\text{ Moles of }H_2O\times \text{ Molar mass of }H_2O

Molar mass of H_2O = 18 g/mole

\text{ Mass of }H_2O=(1.482moles)\times (18g/mole)=26.68g

Now we have to calculate the percent yield of water.

\text{Percent yield}=\frac{\text{Actual yield}}{\text{Theoretical yield}}\times 100

Now put all the given values in this formula, we get:

\text{Percent yield}=\frac{12.5g}{26.68g}\times 100=46.8\%

Thus, the percent yield of water is, 46.8 %

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