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

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.

Answer from: Quest

More information

Other questions on the subject: Physics

Physics, 22.06.2019 02:00, LadyHolmes67

The motor m applies a time-varying force of f (200 t) n, where t is in seconds. box b with mass 200 kg starts from rest, and the coefficients of kinetic and static friction are 0.2 and us 0.3 the acceleration due to gravity is g 9.8 m/s2 b 300 a) find the time ' when the box starts to move. b) calculate the speed of the crate at 3 s c) calculate the power delivered by the motor at t 3 s

Answers: 3

continue

Physics, 22.06.2019 04:00, binodkharal2048

Which configuration would produce an electric current? a) rotate a coil of copper wire between two magnets. b) connect a wire between a copper and zinc strip sitting in a beaker of water. c) connect a wire to the (+) positive end of a battery and the other end to a light bulb. d) connect a wire to the negative end of a battery and the other end to a light bulb.

Answers: 2

continue

Physics, 22.06.2019 05:50, Dweath50

Give your knowledge of these things in your paper, you will compare and contrast analog and digital signals to determine which is more reliable for encoding and transmitting information. you’ll compare these features: signal shape numerical values for signal measurements amount of data that can be transmitted energy requirements privacy and security (ability of the signal to be encoded in a secret code) clarity of signal in the space provided, write down what you already know about any of these features. if you’re not sure, write down questions you might have about the features.

Answers: 3

continue

Physics, 22.06.2019 19:30, FireFlight

Point charges q1=+2.00μc and q2=−2.00μc are placed at adjacent corners of a square for which the length of each side is 1.50 cm . point a is at the center of the square, and point b is at the empty corner closest to q2. take the electric potential to be zero at a distance far from both charges. part a what is the electric potential at point a due to q1 and q2? express your answer with the appropriate units.

Answers: 2

continue

You know the right answer?

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