In a 74.0-g aqueous solution of methanol, CH4O, the mole fraction of methanol is 0.140. What is the mass of each component?

Answers

Answer 1
Answer:

Answer:

The correct answer is 16.61 grams methanol and 57.38 grams water.

Explanation:

The mole fraction (X) of methanol can be determined by using the formula,  

X₁ = mole number of methanol (n₁) / Total mole number (n₁ + n₂)

X₁ = n₁/n₁ + n₂ = 0.14

n₁ / n₁ + n₂ = 0.14 ---------(i)

n₁ mole CH₃OH = n₁ mol × 32.042 gram/mol (The molecular mass of CH₃OH is 32.042 grams per mole)

n₁ mole CH₃OH = 32.042 n₁ g

n₂ mole H2O = n₂ mole × 18.015 g/mol  

n₂ mole H2O = 18.015 n₂ g

Thus, total mole number is,  

32.042 n₁ + 18.015 n₂ = 74 ------------(ii)

From equation (i)

n₁/n₁ + n₂ = 0.14

n₁ = 0.14 n₁ + 0.14 n₂

n₁ - 0.14 n₁ = 0.14 n₂

n₁ = 0.14 n₂ / 1-0.14

n₁ = 0.14 n₂/0.86 ----------(iii)

From eq (ii) and (iii) we get,  

32.042 × 0.14/0.86 n₂ + 18.015 n₂ = 74

n₂ (32.042 × 0.14/0.86 + 18.015) = 74

n₂ = 74 / (32.042 × 0.14/0.86 + 18.0.15)

n₂ = 3.1854 mol

From equation (iii),  

n₁ = 0.14/0.86 n₂

n₁ = 0.14/0.86 × 3.1854

n₁ = 0.5185 mol

Now, presence of water in the mixture is,  

= 3.1854 mole × 18.015 gram per mole  

= 57.38 grams

Methanol present in the mixture is,  

= 0.5185 mol × 32.042 gram per mole

= 16.61 grams

Answer 2
Answer:

Final answer:

In a 74.0 g aqueous solution of methanol with a mole fraction of 0.140, the mass of methanol is approximately 10.36 g and the mass of water is approximately 63.64 g.

Explanation:

The problem involves the calculation of the mass of the components of an aqueous solution of methanol (CH3OH). First, we need to know that the mole fraction is defined as the ratio of the number of moles of a component to the total number of moles of all components in the mixture.

Given that the mole fraction of methanol is 0.140, this means that the rest of the solution (i.e., water) is 1 - 0.140 = 0.860. To find the mass of each component, we need to consider the total mass of 74.0 g.

The mass of methanol can be calculated as 74.0 g * 0.140 = 10.36 g. And the mass of water would be 74.0 g * 0.860 = 63.64 g.

So, in this aqueous solution, you have approximately 10.36 g of methanol and 63.64 g of water.

Learn more about Mole Fraction here:

brainly.com/question/29808190

#SPJ11


Related Questions

Under what set of conditions does HCl(g) deviate the most from ideal behavior?a) high temperature and low pressure.b) low temperature and high pressure.c) high temperature and high pressure.d) low temperature and low pressure. e) standard temperatore and pressure.
1. What is the angular distance north or south from the earth's equator beginning at0° at the equator and ending at 90° at either pole?a. Weatherb. Altitudec. Latituded. Climate
Write the equation for the alpha decay of C-11. Write the equation for the beta decay of Be-10HELP HELP HELP
Calculate the molar mass of the following:(a)the anesthetic halothane, C2HBrClF3(b)the herbicide paraquat, C12H14N2CL2(c)caffein, C8H10N4O2(d)urea, CO(NH2)2(e)a typical soap,C17H35CO2Na
How many grams of chloride are there in 256 g of magnesium chloride?

Counting atoms worksheet

Answers

Answer: if you are looking for a worksheet go to teachers pay s teachers or Pinterest

Explanation: these are very reliable sources to find good worksheets

Match the vocabulary word with the defination.___1.Hypothesis
___2.Variables
___3.Conclusion
___4.Scientific Method
___5.Procedure

a.The steps you take to complete the experiment
b.Factors that changes in an experiment
c.A possible solution to a problem
d.The result of the experiment
e.The process scientist follow to complete an investigation

Answers

Hypothesis - A possible solution to a problem

Variables - Factors that changes in an experiment

Conclusion - The result of the experiment

Scientific Method - The process scientists follow to complete an investigation

Procedure - The steps you take to complete the experiment

Answer:

1. d

2. b

3. d

4. e

5. a

explanation:

there's nothing else to explain

Draw this image below. It shows one ton of feathers and one ton of bricks a. Compare the mass of the two substances: b. Compare the volume of the two substances:
C. Which of the two substances will have a greater density?
d. Why? Your explanation must include the terms "mass" and "volume", and it must include the definition you provided in #2​

Answers

I don't understand the question

Can you elaborate further

Help me as soon as possible I’m gonna dieeee

Answers

I think it’s Boiling point but I’m not sure
I think it’s D I’m not sure .........

To plan ahead using REPS and Checks, choose the minimum space cushion needed to maintain folloying distance traveling at 25 MPH (for a cargo van)?

Answers

The minimum space cushion defines the required amount of space which vehicles should maintain in other to afford them the time and space to gain control in emergency scenarios. Hence, the minimum space cushion required in the scenario is 4 seconds.

In cases of mishaps or accidents, the space cushion might just afford other cars the space to maneuver their way to safety rather than being caught up in the collison or accident.

The required space cushion in most scenario is usually between 2 - 5 seconds, with additional space afforded depending on the length and type of the vehicle.

Therefore, to ensure safety, the required minimum spacecushion to be left when driving being a cargo van traveling at a speed of 25mph is 4 seconds.

Learn more :brainly.com/question/24535523

Final answer:

In order to ensure safety while driving a cargo van at 25 MPH, the driver should maintain a space cushion of about 3-4 van lengths, which accounts for speed, reaction time, and distance needed to apply brakes and avert a collision.

Explanation:

The subject of your question revolves around optimal space cushion required for safety while driving a cargo van at the speed of 25 MPH, adhering to REPS (Reference point, Eye lead time, Posting and Scanning) and Checks (Check side mirrors and Rearview mirror every 5-8 seconds). This question falls under the domain of physics, as it involves velocity (speed of the vehicle), distance (space cushion), and time.

As a general rule of thumb, for every 10 miles per hour, a driver should ideally stay approximately one car length away from the car in front of them. Therefore, at 25 MPH, the driver should maintain a distance of at least 2.5 car lengths. In the case of a cargo van, which is typically larger than a regular car, this distance should ideally be increased to 3-4 van lengths to ensure safe stopping distance and reaction time in case of any sudden stoppage by the vehicle ahead.

Learn more about Driving Safety here:

brainly.com/question/32865405

#SPJ11

Which chemical equation follows the law of conservation of mass?

Answers

The chemical equation presented in option A follows the law of conservation of mass.

The principle of conservation of mass states, mass can neither be created nor destroyed but can be transformed from one form to another.

A reaction that follows the law of conservation of mass,  must have equal number of moles each elements in reactants side and products side.

Only option A follows the law of conservation of mass;

2LiOH \ + \ + H_2CO_3 \ ---> \ Li_2CO_3 \ + \ 2H_2O

Thus, we can conclude that the chemical equation presented in option A follows the law of conservation of mass.

Learn more here:brainly.com/question/13383562

Answer:

Option A

Explanation:

The expression that obeys the law of conservation of mass is choice A;

         2LiOH  +  H₂CO₃   →   Li₂CO₃  + 2H₂O

According to the law of conservation of mass; "in a chemical reaction, matter is neither created nor destroyed". By this law, mass is usually conserved.

The equation shows that mass is conserved because the number of moles of each specie is found on both sides

                                                Number of moles

                                 Li                   O                  H              C

Reactants                 2                    5                   4               1

Products                   2                    5                   4               1

This shows that mass is indeed conserved.