Asked Sep 3, 2019

34.4 gallon of toluene, 85.4 lbm of ethyl acetate, and 3.26 ft cubic of ethanol is poured into a tank. Find the mass fraction of each component.


Expert Answer

Step 1

Given information:

Volume of Toluene (vt)= 34.4 gallon

Mass of Ethyl acetate (me) = 85.4 lbm

Volume of Ethanol (vEtOH) = 3.26 ft3

The mass fraction for all above components, poured into a tank, is to be calculated. Since, the volume is given for Toluene and Ethanol, the first step is to calculate the mass (in kg) using the density of these components.

Density of Toluene ρt = 867 kg/m3

Density of Ethanol ρEtOH = 789 kg/m3

As the density is in SI units, the following unit conversions are to be considered while calculating mass of all the components.

Unit conversion:

1 gallon = 0.0038 m3

1 ft3 = 0.028 m3

1 lbm = 0.4536 kg

The unit conversion of mass of Ethyl acetate to kg is given in equation (1). The unit conversion of volume of Toluene and Ethanol to m3 is shown in equation (2) and (3) respectively.


Image Transcriptionclose

me 85.4 lbmx 0.4536 kg 1lbm (1) 38.72 kg 34.4 gallonx 0.0038 m* 1 gallon (2) =0.13 m3 E1OH 3.26 ft3x0.028 m3 1 f3 (3) -0.091 m2

Step 2

It is known that density of a component is the ratio of its mass to volume. So, the mass for Toluene and Ethanol is calculated in equation (4) and (5) respectively.


Image Transcriptionclose

Mass of Toluene (m, PtVolume of Toluene (v,) 867 kg/m3 0.13 m m4113.33 kg Mass of Ethan ol (m E10H' = 1", (4) PE1OH Volume of Ethanol (vEtOH 789 kg/m3= EtOH 0.091 m3 (5) m "EtOH =72.02 kg

Step 3

Mass fraction for an ith component in a given mixture of n components is given by equation (6). The total mass of the...


Image Transcriptionclose

Mass of component i Total mass of the mixture Total mass of mixture= mOH +"e+mt (6) 72.02 kg+38.72 kg+113.33 kg = 224.07 kg (7)


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in


Chemical Engineering

Chemical Engineering

Related Chemical Engineering Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: 6. The manufacture of such products as penicillin, tetracycline, vitamins, and other pharmaceuticals...

A: Part (a)The basis of the process is taken as 98 lb/hr of the feed. The symbol used for vitamins is ‘...


Q: 4.8 A surge tank in Fig. E4.8 is designed with a slotted weir so that the outflow rate, w, is propor...

A: Apply material balance on the given system as:


Q: You may have eaten “astronaut ice cream” as a kid at a science museum or planetarium to experience t...

A: Applying overall energy balance across the vacuum below in equation (1), the work term in overall en...


Q: Water at 20C with a mass flow rate of 1.0 kg/s enters an annulus formed by an inner pipe having an O...

A: Water is flowing at the rate of 1.0 kg/s in the annulus at the temperature 20°C. The inner pipe outs...


Q: Ethanol is produced by the hydration of ethylene. Some of the ethanol product is converted in an und...

A: Let the basis of the calculations be 100 moles of effluents from the reactor. Thus, the mole fractio...


Q: Hi this is what it can help please provide the explanation for solutions don’t worry about the  exac...

A: (a) To detrmine whether the contents are liquid, vapour, liquid in equilibrium with its vapourThe na...


Q: 6. Methanol is produced by reacting carbon monoxide and hydrogen. A fresh feed stream containing CO ...

A: Part (a)Convert the reactor effluent to molar basis and let the mass of the effluent be 100g.


Q: A substrate is decomposed in the presence of an enzyme according to the Michaelis-Menten equation wi...

A: Part (a)Let the reaction taking place in the CSTR be, S→P According to the Michaelis-Menten equation...


Q: The T-x-y and P-x-y diagrams for the binary benzene-toluene system is shown below. a. The bubble poi...

A: Part (c)The Antoine equation to be used is written below.Here, Pi* is the vapor pressure of the comp...