Physics, 20.10.2020 20:01 pastmarion

The level of toluene (a flammable hydrocarbon) in a storage tank may fluctuate between 10 and 400 cm from the top of the tank. since it is impossible to see inside the tank, an open-end manometer with water or mercury as the manometer fluid is to be used to determine the toluene level. one leg of the manometer is attached to the tank 500 cm from the top. a nitrogen blanket at atmospheric pressure is maintained over the tank contents. felder, richard m.; rousseau, ronald w.; bullard, lisa g.. elementary principles of chemical processes, 4th edition (page 81). wiley. kindle edition.

Answers: 2

Show answers

Answers

Answer from: mecennabosaaen

Complete Question

The complete question is shown on the first and second uploaded image

When water is used the reading is $R = 2281.6 \ cm$

When mercury is used the reading is $R = 23.83 \ cm$

The best fluid to use is mercury because for water a slight change in toluene level will cause a large change in height .

Explanation:

From the question we are told that

The length of the leg of the manometer to the top of the tank is d = 500cm

The toluene level where in the tank where the height of the manometer fluid level in the open arm is equal to the height where the manometer is connected to the tank is h =150 cm

The manometer reading is R

Generally at the point where the height of the open arm is equal to the height of the of the point connected to the tank ,

The pressure at the height of the both arms of the manometer corresponding to the base of the tank are equal

i.e P_1 = P_2

Here P_1 is the pressure of the manometer at the point corresponding to the base of the tank and this is mathematically represented as

$P_{atm} + P_1 = P_{atm} + P_t$

Here P_t is the pressure due to the toluene level in the tank and in the arm of the manometer connected to the tank and this is mathematically represented as

$P_t = \rho_t * g * h_i$

Here

$\rho_t$ is the density of toluene with value $\rho_t = 867 kg/m^3$

h_i is the height of the connected arm above the point equivalent to the base of the tank , this mathematically represented as

h_i = d - h + R

and P_2 is the the pressure at the open arm of the manometer at the point equivalent to the base of the base of the tank and this is mathematically represented as

$P_2 = \rho_f * g * h_f$

Here

$\rho_f$ is the density of the fluid in use , if it is water the density is

$\rho_w = 1000 \ kg /m^3$

and if it is mercury the density is

$\rho_m = 13600 \ kg /m^3$

h_f is the height of the fluid in the open arm of the manometer from the point equivalent to the base of the tank which is equivalent the manometer reading R

So when the fluid is water we have

$P_{atm} + \rho_t* g *(d - h + R) = P_{atm} + \rho_f * g * h_f$

=> $\rho_t* (d - h + R) = \rho_w * h_f$

=> 867 (500 - 150 + R) = 1000 * R

=> $R = 2281.6 \ cm$

So when the fluid is mercury we have

$\rho_t* (d - h + R) = \rho_m * h_f$

=> 867 (500 - 150 + R) = 13600 * R

=> $R = 23.83 \ cm$

The difference in the mercury reading for mercury due to the fact that they have different densities as we have seen in this calculation

So the best fluid to use is mercury because for water a slight change in toluene level will cause a large change in height .

Answer from: Quest

Hello how was your day? ? i hope it was good

Answer from: Quest

The next element is345640

Another question on Physics

Physics, 22.06.2019 11:50

An electron is traveling with initial kinetic energy k in a uniform electric field. the electron comes to rest momentarily after traveling a distance d. (a) what is the magnitude of the electric field

Answers: 3

Answer

Physics, 23.06.2019 03:10

You have been hired to design a spring-launched roller coaster thatwill carry two passengers per car. the car goes up a 10-m highhill, then descends 15m to the track's lowest point. you'vedetermined that the spring can be compressed a maximum o 2.0m andthat a loaded car will have a maximum mass of 400kg. for safetyreasons, the spring constant should be 10% larger than the minimumneeded for the car to just make it over the top. a) what spring constant (k) should you specify ? b) what is the maximum speed of a 350 kg car if the spring iscompressed the full amount.

Answers: 2

Answer

Physics, 23.06.2019 06:00

Aforklift raises a box above the floor and does 2,000 j of work. if the forklift motor consumes 3,000 j of electrical energy from the battery to raise the box, what is the efficiency of the lift?

Answers: 2

Answer

Physics, 23.06.2019 09:50

Make a drawing of the electric field lines around a positive charge, then make a second drawing of the electric field lines around a negative charge.

Answers: 3

Answer

You know the right answer?

The level of toluene (a flammable hydrocarbon) in a storage tank may fluctuate between 10 and 400 cm...

Questions