A glass of water with a mass of 0.45kg at 20∘C is to be cooled to 0∘C by dropping ice cubes at 0∘C into it. The latent heat of fusion of ice is 334kJ/kg, and the specific heat of water is 4.18kJ/kg⋅∘C. The amount of ice that needs to be added is.

Answers

Answer 1

By using the concept of heat transfer, we need to add 0.045kg or 45g of ice to the glass of water to cool it from 20∘C to 0∘C.

The heat lost by the water is equal to the heat gained by the ice cubes. We can use the following equation to calculate the heat transfer:

Q = m_w * c_w * ΔT + m_i * L_f

where Q is the heat transfer, m_w is the mass of water, c_w is the specific heat of water, ΔT is the temperature change (20-0 = 20∘C), m_i is the mass of ice, and L_f is the latent heat of fusion of ice.

We know the values of m_w (0.45kg), c_w (4.18kJ/kg⋅∘C), ΔT (20∘C), and L_f (334kJ/kg). We can rearrange the equation to solve for m_i:

m_i = (Q - m_w * c_w * ΔT) / L_f

Substituting the values, we get:

m_i = [(0.45kg) * (4.18kJ/kg⋅∘C) * (20∘C) - 0] / (334kJ/kg

m_i = 0.045kg

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Related Questions

What was the role of the rotors in the enigma machine?.

Answers

Answer:

Implements a reordering of the letters of the alphabet.

Explanation: GIVE ME 5 STARS AND a HEART!!!                                      Those contacts are wired across the rotor so that each contact on the left connects to the contact on the right in some scrambled arrangement. Each rotor, therefore, implements a reordering of the letters of the alphabet, which mathematicians call a permutation.

What's the difference between a scale and a scale drawing?

Answers

scale is used to make a scale drawing. every scale drawing has it's sclae written for proper interpreatation

What is a scale?

A Scale is the ratio of a sketched model and the actual measuremnts while a scale drawing is a sketched model that was carefully made such that every measurement in the sketch could be represented to the site or actual mearuement through the scale with very little or no error

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To make a scale drawing, scale is used. For correct interpretation, every scale drawing has its own scale inscribed on it.

What exactly is a scale?

A scale drawing is a sketched model that has been meticulously prepared so that every measurement in the sketch may be conveyed to the site or actual measurement through the scale with very little or no mistake.

A weighing apparatus or equipment with two pans of equal weight hung from its ends —usually used in the plural, either pan or tray of a balance scale.

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Additional scals apply to the
of the Class I locations,
O a anterior and posterior sections
O b. distal and medial boundaries
O c conduit entrances
O d. horizontal as well as vertical boundaries

Answers

location of the class depends on satiation

Explain how the ideal vapour compression refrigerator cycle is an improvement upon the Carnot cycle. Use any two of the problems to explain.

Answers

answer explanation:Basically, the Carnot cycle is turning a heat differential into mechanical energy, then using mechanical energy to recreate the heat differential. A heat pump only turns mechanical energy into a heat differential. It exchanges the gas being compressed on an ongoing basis and does not extract mechanical energy from it, this continuous loss of mechanical energy input is what allows continuous generation of a heat differential.

Also, the Carnot cycle is an idealized theoretical model, not a practically achievable engineering goal. It illustrates the essential mechanism by which heat differentials can be turned into mechanical energy and vice versa, it has to ignore the fact of inefficiency in conversion between mechanical energy and heat differential for the sake of illustrating a set of ideal processes. A real refrigeration system has to deal with the question of whether the system is pumping away more heat than it generates itself through inefficiency.

A platinum resistance temperature detector has a resistance of 100.00 V at 0°C, 138.50 V at 100°C and 175.83 V at 200°C. What will be the nonlinearity error in °C at 100°C if the detector is assumed to have a linear relationship between 0 and 200°C?

Answers

Answer:

  about 1.54 °C

Explanation:

The error will be the difference between the temperature interpreted from the resistance value and the actual temperature. The linear equation used to translate the resistance reading to temperature will be ...

  T = (200 -0)/(175.83 -100.00)(R -100.00)

  T ≈ 2.637479(R -100)

At the temperature of 100°C, the resistance value of 138.50 will be interpreted to be a temperature of ...

  T = 2.637479(138.50 -100) ≈ 101.543°C

This represents an error of 1.543°C relative to the actual temperature.

What should you do if you encounter a fishing boat while out in your vessel?.

Answers

Answer:

if you encounter fishing or hunting boats while you are paddling, be courteous.

Give them a wide berth.

Never run overfishing lines. Be aware that anglers may have lines out to the sides of their boat or trolling behind them.

Explanation:

A square aluminum plate 5 mm thick and 150 mm on a side is heated while vertically suspended in quiescent air at 75°c. determine the average heat transfer coefficient for the plate when its temperature is 15°c by two methods: using results from the similarity solution to the boundary layer equations, and using results from an empirical correlation.

Answers

By using the boundary layer equation, the average heat transfer coefficient for the plate is equal to 4.87 W/m²k.

Given the following data:

Surface temperature = 15°C

Bulk temperature = 75°C

Side length of plate = 150 mm to m = 0.15 meter.

How to calculate the average heat transfer coefficient.

Since we have a quiescent room air and a uniform pole surface temperature, the film temperature is given by:

[tex]T_f=\frac{T_{s} + T_{\infty} }{2} \\\\T_f=\frac{15 + 75 }{2} \\\\T_f = 45[/tex]

Film temperature = 45°C to K = 273 + 45 = 318 K.

For the coefficient of thermal expansion, we have:

[tex]\beta =\frac{1}{T_f} \\\\\beta =\frac{1}{318}[/tex]

From table A-9, the properties of air at a pressure of 1 atm and temperature of 45°C are:

Kinematic viscosity, v = [tex]1.750 \times 10^{-5}[/tex] m²/s.Thermal conductivity, k = 0.02699 W/mk.Thermal diffusivity, α = [tex]2.416 \times 10^{-5}[/tex] m²/s.Prandtl number, Pr = 0.7241.

Next, we would solve for the Rayleigh number to enable us determine the heat transfer coefficient by using the boundary layer equations:

[tex]R_{aL}=\frac{g\beta \Delta T l^3}{v\alpha } \\\\R_{aL}=\frac{9.8 \;\times \;\frac{1}{318} \;\times \;(75-15) \;\times \;0.15^3 }{1.750 \times 10^{-5}\; \times \;2.416 \times 10^{-5} } \\\\R_{aL}=\frac{9.8\; \times 0.00315 \;\times \;60\; \times\; 0.003375 }{4.228 \times 10^{-10} }\\\\R_{aL}=1.48 \times 10^{7}[/tex]

Also take note, g(Pr) is given by this equation:

[tex]g(P_r)=\frac{0.75P_r}{[0.609 \;+\;1.221\sqrt{P_r}\; +\;1.238P_r]^\frac{1}{4} } \\\\g(P_r)=\frac{0.75(0.7241)}{[0.609 \;+\;1.221\sqrt{0.7241}\; +\;1.238(0.7241)]^\frac{1}{4} }\\\\g(P_r)=\frac{0.543075}{[0.609 \;+\;1.221\sqrt{0.7241}\; +\;1.238(0.7241)]^\frac{1}{4} }\\\\g(P_r)=\frac{0.543075}{[2.5444]^\frac{1}{4} }\\\\g(P_r)=\frac{0.543075}{1.2630 }[/tex]

g(Pr) = 0.430

For GrL, we have:

[tex]G_{rL}=\frac{R_{aL}}{P_r} \\\\G_{rL}=\frac{1.48 \times 10^7}{0.7241} \\\\G_{rL}=1.99 \times 10^7[/tex]

Since the Rayleigh number is less than 10⁹, the flow is laminar and the condition is given by:

[tex]N_{uL}=\frac{h_{L}L}{k} = \frac{4}{3} (\frac{G_{rL}}{4} )^\frac{1}{4} g(P_r)\\\\h_{L}=\frac{0.02699}{0.15} \times [\frac{4}{3} \times (\frac{1.99 \times 10^7}{4} )^\frac{1}{4} ]\times 0.430\\\\h_{L}= 0.1799 \times 62.9705 \times 0.430\\\\h_{L}=4.87\;W/m^2k[/tex]

Based on empirical correlation method, the average heat transfer coefficient for the plate is given by this equation:

[tex]N_{uL}=\frac{h_{L}L}{k} =0.68 + \frac{0.670 R_{aL}^\frac{1}{4}}{[1+(\frac{0.492}{P_r})^\frac{9}{16}]^\frac{4}{19} } \\\\h_{L}=\frac{0.02699}{0.15} \times ( 0.68 + \frac{0.670 (1.48 \times 10^7)^\frac{1}{4}}{[1+(\frac{0.492}{0.7241})^\frac{9}{16}]^\frac{4}{19} })\\\\h_{L}=4.87\;W/m^2k[/tex]

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When are we going to abandon internal combustion engines?

Answers

Answer:

2035

Explanation:

Most car and truck companies say that they will completely get rid of internal combustion engines by 2035.

How can we love our country? Not by words but by deeds. - Jose P. Laurel

Answers

A person can love their country by deed through the act of helping people and by volunteering in the cleaning out community.

What is this Jose P. Laurel quote about?

Jose P. Laurel is known to be a man who emphasis that the love that one has for his or her country is not shown only by words but also by deed

He believe that it is not an occasional virtue people often display. He stated that people need to have unflinching determination to serve their country.

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Are there more pressing issues that we should be focusing on?(i.e. inflation and gas prices?)

Answers

Answer:

gas

Explanation:

As we speak gas is to high and is making it unconfortable for people to live normaly.

Which organization would provide business and leadership training to a high school hospitality student?

Answers

Answer:

Future Business Leaders of America

Explanation:

In python

Write an expression that executes the loop body as long as the user enters a non-negative number.

Note: If the submitted code has an infinite loop, the system will stop running the code after a few seconds and report "Program end never reached." The system doesn't print the test case that caused the reported message.

Sample outputs with inputs: 9 5 2 -1
Body
Body
Body
Done.

Answers

Answer:

inputed = input("Choose some numbers, each separated with a space: ")

chosen = list(inputed)

chosen = chosen.remove(' ')

for value in chosen:

if '-' not in value:

print(Body)

else:

print(Done)

break

Explanation:

The for loop will go through every value in the list (your numbers) and check if it is positive or negative.

It was a mistake that i put in under 13 of age can you put it for 27

Answers

Answer:

ill try to help you :)

Explanation:

does advanced auto parts install engine air filter

Answers

Answer:

You have to do it yourself.

Explanation:

A strain gauge is used to measure the strain on a vibrating beam which can vibrate up to a maximum frequency of 60 Hz. The strain gauge analog signal is converted in to a digital signal via an Analog to Digital Converter (ADC) in order to store the data on a computer hard drive. The engineer responsible for this measurement mistakenly selects a sampling frequency of 90 Hz for the ADC. (a) Determine the alias frequency due to the small sampling frequency. (b) Propose a sampling frequency that will not result into aliasing of the analog signal (make sure to provide your rationale for selecting this frequency)

Answers

The aliased frequency that is due to small sampling frequency is 675 Hz.

The proposed sampling frequency is 2f = 120

How to solve for the aliased frequency

The signal frequency that is given in the question is 60Hz

The sampling frequency is 90Hz

a. Using Nyquist frequency,

fn = 0.5*90Hz = 45Hz

The aliased frequency =  |n*fn - fs|

aliased frequency = |n*fn - fs|

We have  n >= 1/Fs = 17ms

Then the aliased frequency is = 17 x 45 - 90

= 675 Hz

b) The Nyquist sampling theorem

In order to avoid aliasing the sampling frequency, this has to be at least two times the highest frequency.

Therefore Fs =

2xF = 120Hz

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Joe maylan an employee of acme company has been sent to do some work in the highland company's main lobby. This job will take two days. Which type of pass should joe be given?

Answers

The type of Pass that Joe Maylan should be given is called; Temporary Pass

What is temporary pass?

In factories or industries, there are different types of pass given to workers and visitors visit such places on a daily basis. In this case Joe maylan is going to do a job in the company for just 2 days and as such the type of pass he willl get will be a temporary pass.

It will be a temporary pass because it is a document pass issued for short-term use or due to an emergency.

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what would be the output signal
of two input binary signal given
by A - 100101 and B = 110110
are applied to:
a) OR-gate
b) NAND-gate and XOR gate

Answers

U lungul 200 m. If A = 100101 and B = 110110 are applied to X-NOR gate, then the output will be :- plo (1) 101100 (2)011011 (31110111 (4) 010011 As shown in ..


Which of the following would not be a good reason to use a linear model?
Thank

Answers

The disadvantage of using a linear model is that; It is sensitive to outliers and prone to multicollinearity.

What is the Linear Regression Model?

Linear regression is defined as a regression technique whereby the independent variable has a linear relationship with the dependent variable.

Now, there are some advantages of this model in statistics such as;

Linear regression performs exceptionally well for linearly separable data.It is easy to implement and interpret.It carries out extrapolation beyond a specific data set.

However, there are some disadvantages such as;

It is very sensitive to outliers.

It is prone to having multicollinearity.

It assumes linearity between dependent and independent variables.

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b) Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k = 1.8 W/m·K, and surface area A = 30 m2. The left side of the wall is maintained at a constant temperature of T1 = 90°C while the right side loses heat by convection to the surrounding air at

Answers

Answer:

A is correct

Explanation:

I took the test

List three examples of waves that can transfer energy without going through a medium

Answers

Electromagnetic waves can transfer energy without a material medium.

3 examples of elctromagnetic energy include: Radio wave, X-rays and gamma rays

What is wave?

A wave is a disturbance that transfers energy from one point to another.

Electromagnetic waves are waves that does not require a material medium for the tranfer of energy

Radio waveGamma raysX-raysLight wave

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Consider a homogeneous spherical piece of radioactive material of radius ro = 0.04 m that is generating heat at a constant rate of ėgen = 5 x 107 w/m3 . the heat generated is dissipated to the environment steadily. the outer surface of the sphere is maintained at a uniform temperature of 110°c and the thermal conductivity of the sphere is k = 15 w/m·k. assuming steady one-dimensional heat transfer, (a) express the differential equation and the boundary conditions for heat conduction through the sphere, (b) obtain a relation for the variation of temperature in the sphere by solving the differential equation, and (c) determine the temperature at the center of the sphere.

Answers

Answer:

Please report my answer

Explanation:

I want my account deleted

A nuclear ________ reactor heats a liquid to an extremely high temperature in order to power a nuclear rocket. (7 letters)

Answers

Answer:

Thermal

Explanation:

There are seven letters in the word "thermal". High temperature would indicate the liquid needs to be at a high heat. Thermal means "heat". Therefore, the answer should be thermal.

Here's what the answer should be: A nuclear thermal reactor heats a liquid to an extremely high temperature in order to power a nuclear rocket.

I hope this helps!

-No one

You may not operate a vehicle unless all child passengers __________ are securely fastened into an approved child restraint device.

Answers

Answer:

You may not operate a vehicle unless all child passengers under the age of 16 years are either wearing a safety belt assembly or are securely fastened into an approved child restraint device.

Explanation:

About what thickness of aluminum is needed to stop a beam of (a) 2.5-MeV electrons, (b) 2.5-MeV protons, and (c) 10-MeV alpha particles?

Answers

The thickness of aluminium needed to stop the beam electrons, protons and alpha particles at the given dfferent kinetic energies is 1.5 x 10⁻¹⁴ m.

Thickness of the aluminum

The thickness of the aluminum can be determined using from distance of closest approach of the particle.

[tex]K.E = \frac{2KZe^2}{r}[/tex]

where;

Z is the atomic number of aluminium  = 13e is charge r is distance of closest approach = thickness of aluminiumk is Coulomb's constant = 9 x 10⁹ Nm²/C²For 2.5 MeV electrons

[tex]r = \frac{2KZe^2}{K.E} \\\\r = \frac{2 \times 9\times 10^9 \times 13\times (1.6\times 10^{-19})^2}{2.5 \times 10^6 \times 1.6 \times 10^{-19}} \\\\r = 1.5 \times 10^{-14} \ m[/tex]

For 2.5 MeV protons

Since the magnitude of charge of electron and proton is the same, at equal kinetic energy, the thickness will be same. r = 1.5 x 10⁻¹⁴ m.

For 10 MeV alpha-particles

Charge of alpah particle = 2e

[tex]r = \frac{2KZe^2}{K.E} \\\\r = \frac{2 \times 9\times 10^9 \times 13\times (2 \times 1.6\times 10^{-19})^2}{10 \times 10^6 \times 1.6 \times 10^{-19}} \\\\r = 1.5 \times 10^{-14} \ m[/tex]

Thus, the thickness of aluminium needed to stop the beam electrons, protons and alpha particles at the given dfferent kinetic energies is 1.5 x 10⁻¹⁴ m.

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A conductive loop on the x-y plane is bounded by rho = 2.0 cm, rho = 6.0 cm, φ = 0º and φ = 90º. 2.0 a of current flows in the loop, going in the aφ direction on the rho = 2.0 cm arm. determine h at the origin

select one:
a. 8.4 az (a/m)
b. 4.2 ay (a/m)
c. 8.4 ax (a/m)
d. 4.2 az (a/m)

Answers

Answer:

b. 4.2 az (A/m)

Explanation:

b is the answer

Traveling a average speed at 55mph how many miles will you travel in9 hours

Answers

You will go 495 miles in 9 hours

How frequently should vehicle registration be renewed?

Answers

Answer:

When the renewal period comes around (with respect to the license expiry date).

Explanation:

What is the definition of gross axle weight rating?.

Answers

The definition of gross axle weight rating is to give give out the weight the axle of a vehicle can support.

engineering economics​

Answers

Explanation:

mathematics education grade 7

Which of the following statements about resistance is TRUE?

Resistance resists or opposes the amount of protons flowing through voltage.


Resistance allows the amount of neutrons flowing through a circuit.

Resistance resists or opposes the amount of neutrons and protons flowing through a circuit.

Resistance resists or opposes the amount of electrons flowing through a circuit.

Answers

Answer:

I think it's the no 3rd

Explanation:

hope this helps

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