Ethyl alcohol is formed by enzyme action on sugars and starches during fermentation. C 6 H 12 O 6 → 2 CO 2 + 2 C 2 H 6 O If the density of ethyl alcohol is 0.789 g/mL, how many quarts can be produced by the fermentation of 100.0 lb of sugar?

Hello. In this problem, we're told lactose and dairy food is converted solely into lactic acid in a process called him a lactic fermentation. Given that the density of lactic acid is 1.21 g per cubic centimeter. Calculate the volume and courts of lactic acid that can be produced when £50 of lactose is fermented for given that £1 is equal to 454 g and one leader is equal to 1.57 quarts. Looking at the balance direction equation, we see that one mole of lactose Reacts to produce four moles of lactic acid. We'll begin our calculation with the 50 lb of lactose. We're trying to determine from this quantity of lactose. How much lactic acid can be produced? Make use of the relationship between pounds and grams. £1 is equal to 454 g. Well, then make use of the molar mass of lactose to go from master moles. one mole of lactose has a mass of three and 42 .2, g. Then go to our relationship from the balanced reaction equation for every one mole of lactose that reacts. We produce four moles of lactic acid. Can they make use of the more mass of lactic acid to go from most to mass one mole of lactic acid, That's a massive 90 .07, 8 grams. And then we can make use of the density of lactic acid. We have 1.2, 1 g per cubic centimeter. Recall that a cubic centimeter is equivalent to the millimeter. We can convert our male leaders to leaders. There's 1000 ml in everyone. Leader and then we can make use of the relationship between leaders and courts. One leader is equal to 1.057 sports. So we'll make sure that our units cancel. So we have pounds of lactose in the numerator cancels with pounds of lactose in the denominator grams of lactose cancels, moles of lactose, cancels moles of lactic acid cancels grams of lactic acid cancels cubic centimeters, cancels milliliters cancels and leaders cancels. So we're left with ports. This works out to 20.9 ports of lactic acid. This volume of lactic acid corresponds to answer. B Thanks for watching. Hope this helped.

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6. Chemical Reactions & Quantities

Stoichiometry

GOB Chemistry

6. Chemical Reactions & Quantities

Stoichiometry

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3:15 minutes

Problem 60

Textbook Question

Ethyl alcohol is formed by enzyme action on sugars and starches during fermentation.
C₆H₁₂O₆ → 2 CO₂ + 2 C₂H₆O
If the density of ethyl alcohol is 0.789 g/mL, how many quarts can be produced by the fermentation of 100.0 lb of sugar?

Verified step by step guidance

Convert the mass of sugar from pounds to grams. Use the conversion factor: 1 lb = 453.592 g.

Determine the molar mass of glucose (C6H12O6) by summing the atomic masses of its constituent atoms: 6 carbon (C), 12 hydrogen (H), and 6 oxygen (O).

Calculate the number of moles of glucose in the given mass of sugar by dividing the mass of glucose (in grams) by its molar mass.

Use the stoichiometry of the reaction to determine the moles of ethyl alcohol (C2H6O) produced. From the balanced equation, 1 mole of glucose produces 2 moles of ethyl alcohol.

Convert the moles of ethyl alcohol to volume in quarts. First, calculate the mass of ethyl alcohol using its molar mass, then use the density (0.789 g/mL) to find the volume in milliliters. Finally, convert milliliters to quarts using the conversion factor: 1 quart = 946.353 mL.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Fermentation Process

Fermentation is a metabolic process that converts sugars into acids, gases, or alcohol using microorganisms, primarily yeast. During this process, glucose (C6H12O6) is broken down anaerobically, resulting in the production of ethanol (C2H6O) and carbon dioxide (CO2). Understanding fermentation is crucial for calculating the yield of ethyl alcohol from sugar.

Stoichiometry

Stoichiometry involves the calculation of reactants and products in chemical reactions based on balanced equations. In this case, the stoichiometric relationship between glucose and ethanol indicates that one mole of glucose produces two moles of ethanol. This concept is essential for determining how much ethyl alcohol can be produced from a given amount of sugar.

Density and Volume Conversion

Density is defined as mass per unit volume, and it is crucial for converting between mass and volume measurements. Given the density of ethyl alcohol (0.789 g/mL), one can calculate the volume of alcohol produced from the mass obtained from fermentation. This conversion is necessary to express the final yield in quarts, a common volume measurement.

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Titanium metal is obtained from the mineral rutile, TiO2. The process requires multiple steps, as shown in the following reactions:

TiO₂(s) + 2 Cl₂(g) + 2 C(s) → TiCl₄(s) + 2 CO(g)

TiCl₄(s) + 2 Mg(s) → Ti(s) + 2 MgCl₂(s)

b. How many moles of TiO2 are needed to form one mole of titanium?

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Textbook Question

The chemical reaction of hydrogen with oxygen produces water.

2 H₂(g) + O₂(g) → 2 H₂O(g)

c. How many moles of H₂O form when 2.5 moles of O₂ reacts?

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Textbook Question

When table sugar (sucrose, C₁₂H₂₂O₁₁) is heated, it decomposes to form C and H₂O.

b. How many grams of carbon are formed by the breakdown of 60.0 g of sucrose?

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Textbook Question

Although Cu is not sufficiently active to react with acids, it can be dissolved by concentrated nitric acid, which functions as an oxidizing agent according to the following equation:

Cu(s) + 4 HNO₃(aq) → Cu(NO₃)₂(aq) + 2 NO₂(g) + 2 H₂O(l)

b. Is 35.0 g of HNO3 sufficient to dissolve 5.00 g of copper?