10 kg of -10 C ice is added to 100 kg of 20 C water. What is the eventual temperature, in C, of the water? Assume an insulated container.
a) 9.2
b)10.8
c)11.4
d)12.6
e)13.9

Answers

Answer 1

The eventual temperature of the water is approximately 0.568°C. Answer: [a) 9.2]

To solve this problem, we can use the principle of conservation of energy. The energy lost by the water as it cools down will be equal to the energy gained by the ice as it warms up until they reach thermal equilibrium.

The energy lost by the water can be calculated using the specific heat capacity of water, which is 4.186 J/g°C. The energy gained by the ice can be calculated using the specific heat capacity of ice, which is 2.108 J/g°C, and the heat of fusion of ice, which is 334 J/g.

First, we need to calculate the amount of energy required to raise the temperature of the ice from -10°C to 0°C:

Q_1 = m_ice * c_ice * ΔT_ice

= 10 kg * 2.108 J/g°C * (0°C - (-10°C))

= 2108 J/g * 10,000 g

= 21,080,000 J

Next, we need to calculate the amount of energy required to melt the ice at 0°C:

Q_2 = m_ice * ΔH_fusion

= 10 kg * 334 J/g

= 3,340,000 J

Then, we need to calculate the amount of energy required to raise the temperature of the resulting water from 0°C to the final temperature T:

Q_3 = m_water * c_water * ΔT_water

= 100 kg * 4.186 J/g°C * (T - 0°C)

= 418.6 J/g * 100,000 g * (T - 0°C)

= 41,860,000 J * (T - 0°C)

Since the total energy gained by the ice is equal to the total energy lost by the water at thermal equilibrium, we can write:

Q_1 + Q_2 = Q_3

Substituting the values of Q_1, Q_2, and Q_3, we get:

21,080,000 J + 3,340,000 J = 41,860,000 J * (T - 0°C)

Simplifying this equation, we get:

T = (21,080,000 J + 3,340,000 J) / (41,860,000 J) + 0°C

= 0.568 + 0°C

= 0.568°C

Therefore, the eventual temperature of the water is approximately

0.568°C. Answer: [a) 9.2]

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Related Questions

A light weight vehicle traveling 50 mph can stop in approximately
a. 200 meters.
b. 5 blocks.
c. 200 feet.
d. 6 seconds.

Answers

A light weight vehicle traveling 50 mph can stop in approximately 200 feet.

How a car break works?

The break system of a car is composed by several items that are always working together to slow down and bring a vehicle to a complete stop. It also has the function of keeping the car stationary when it is parked. In general, this system has two manual activation modes: the lever and the pedal, with the exception of vehicles adapted for people with disabilities.

Most vehicles today use the disc brake system. Disc brakes work by using pads, which are held inside a hydraulic caliper, receiving pressure to brake. Such pads generate friction on a disc, which makes the vehicle stop permanently.

The drum brake is another type, being older and dependent on the famous linings to cause friction in the wheel and stop the vehicle. A hydraulic cylinder makes the plies move inside the drum, which is a hollow part fastened with screws and attached to the wheels. This type of brake is on the rear wheels, for the most common models.

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Write a class having two private variables and one-member function which will return the area of the rectangle.

Answers

Using the knowledge in computational language in C++ it is possible to write the code being write a class having two private variables

Writting the code in C++:

#include <iostream>

using namespace std;

class Rectangle { /*create a class named Rectangle*/

  private:

  float l,b; /*this class has two private variables l and b*/

  public:

  float getArea(float l, float b) /*this class has one member-function getArea which returns the area of the rectangle*/

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  }

};

int main () { /*the main function to check the working of our Rectangle class*/

 float l,b;

 Rectangle r1; /*create an object r1 of Rectangle class*/

 cout<<"Enter the length of the rectangle: ";

 cin>>l; /*input the length of the rectangle from the user*/

 cout<<"Enter the breadth of the rectangle: ";

 cin>>b; /*input the breadth of the rectangle from the user*/

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}

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Modern aircraft are designed in a way that, when all seats are occupied, the baggage compartment is full, and all fuel tanks are full, the aircraft is:

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Modern aircraft are designed in a way that, when all seats are occupied and baggage is full, and all fuel tanks are full, the aircraft is overloaded.

What is aircraft storage?

Aircraft storage refers to all storage systems in an aircraft for human transportation and also to transport products among countries.

The aircraft storage system is well calculated to work is a maximum capacity in commercial fly lines.

In conclusion, modern aircraft are designed in a way that, when all seats are occupied and baggage is full, and all fuel tanks are full, the aircraft is overloaded.

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Someone claims that the volume flow rate in a circular pipe with laminar flow can be determined by measuring the velocity at the centerline in the fully developed region, multiplying it by the cross-sectional area, and dividing the result by 2. Do you agree

Answers

The answer is 6 because I just took the test!

Metal wireways are sheet metal troughs with _____________ for housing and protecting electrical conductors and cable.

Answers

Answer:

Metal wireways are sheet metal "U"s with removable housing for protecting electrical equipment, wires, and cables.

Explanation:

These are especially used to run wire in manufacturing environments.

How are new slip rings attached to the rotor core during alternator rebuilding?

Answers

The new slip rings is been  attached to the rotor core during alternator rebuilding by b. Soldered on.

What is the process of Soldering ?

Soldering  is the use of Solder which is a metal alloy  consisting tin and lead and is the way of joining  different types of metals together by melting solder.

This is been used on new slip rings to get it  attached to the rotor core during alternator rebuilding .

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CHECK THE COMPLETE QUESTION BELOW:

How are new slip rings attached to the rotor core during alternator rebuilding?

a. Machine clamped

b. Soldered on

c. Crimped on

d. epoxy glue

A line has a slope of 2/5 and contains the point (-10, -6). What is the y-intercept (b) of the line?

Answers

Answer:

y-intercept = -2

Explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this formula, "m" represents the slope and "b" represents the y-intercept. Remember how the Point (-10, -6) contains one "x" value and one "y" value. Using these values in addition to the slope, you can plug them into the equation to find the y-intercept.

x = -10 (from point)

y = -6 (from point)

m = 2/5

y = mx + b                                            <----- Slope-intercept form

y = (2/5) x + b                                       <----- Plug 2/5 into "m"

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-6 = -4 + b                                             <----- Multiply 2/5 and -10

-2 = b                                                    <----- Add 4 to both sides

Therefore, the value of the y-intercept is b = -2. The complete equation of the line is:

y = (2/5)x - 2

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A a result of the graph shown, for any given output level, the veritcal distance between the avc and the atc curves represents total fixed cost (TFC).

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This is known as vertical separation and it is said to be the distance that exist between two vertical positions.

Note that vertical coordinates are seen for expressing vertical position: depth, and others and as such,

See full question below

The vertical distance between the ATC and AVC curve represents

a) marginal cost (MC)

b) average fixed cost (AFC)

c) total fixed cost (TFC)

d) total cost (TC) - total variable cost (TVC)

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To put out a class D metal fire, you must smother the fire and eliminate the oxygen element in the fire.

What is a Class D fire?

A class D fire is a type of fire that cannot be extinguished by water. This is because adding water to it reacts with other elements in the fire intensifying the fire even more.

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By so doing, smothering the fire eliminates the oxygen element in the fire, thereby extinguishing the fire.

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It should be noted that the time frame that the data was collected matters a lot in order to get a valid conclusion.

In this case, the statement that summarizes the data is that the population data should be collected over a much lingers period of time in order to draw a valid conclusion.

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The options to the question:

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c. The data show stable population trends in native species providing evidence that the engineering project has no negative impact on the ecosystem.

d. The population data should be collected over a much lingers period of time in order to draw a valid conclusion.

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Answer:

The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements.

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What are Hydraulics?

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An important difference between expressways and freeways is that expressways feature intersections, whereas freeways use: a) interchanges b) medians c) rumble strips d) green guide signs

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An important difference between expressways and freeways is that expressways feature intersections, whereas freeways use a) interchanges.

Technician A says that a voltage drop on the ground side of a bulb won’t affect its brightness because the electricity has already been used up. Technician B says that a voltage drop is one way to determine if there is unwanted resistance in a circuit. Who is correct?

Answers

Answer:

  Technician B

Explanation:

For a given circuit current, the voltage drop is an indication of the resistance in the circuit.

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What is manual transmission?

The Definition of the term manual transmission is regarded as a kind of a system where there is the changing gears in a manual way.

Hence, In the case above about manual transmission, the gears are engaged manually is correct.

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Through Engineering, human achievement continues to advance. Write about your favorite example of engineering in action and what impresses you about it from an Engineering standpoint.

Answers

Hydroelectric power plants are outstanding engineering devices that allow people to obtain energy from renewable sources.

What is a hydroelectric power plant?

A hydroelectric power plant is a center for the production of electricity based on hydropower energy systems.

Hydroelectric power plants exploit the energy of water masses (e.g., a stream) to produce clean energy for million of people around the world.

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In conclusion, hydroelectric power plants are outstanding engineering devices that allow people to obtain energy from renewable sources.

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Which is not one of the primary characteristic of unit testing:

Answers

Answer:

Unit testing is a software development process in which the smallest testable parts of an application, called units, are individually and independently scrutinized for proper operation. This testing methodology is done during the development process by the software developers and sometimes QA staff. The main objective of unit testing is to isolate written code to test and determine if it works as intended.

Unit testing is an important step in the development process, because if done correctly, it can help detect early flaws in code which may be more difficult to find in later testing stages.

Unit testing is a component of test-driven development (TDD), a pragmatic methodology that takes a meticulous approach to building a product by means of continual testing and revision. This testing method is also the first level of software testing, which is performed before other testing methods such as integration testing. Unit tests are typically isolated to ensure a unit does not rely on any external code or functions. Testing can be done manually but is often automated. It might be helpful

a. Calculate the equivalent resistance of the circuit

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Answer:

no any think photo.

Explanation:

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What are the techniques in controlling the traffic?

There are Devices that are typically used in the traffic control, and this can  include speed bumps as well as the barricades to block streets.

Others techniques are:

turn prohibitions stop signs raised pavement markers.

Traffic restraint can also entails the includes programs  that can foster bicycle as well as the pedestrian travel.

The rapid structural safety assessment help in inspecting and evaluating the concrete structure as well in determining  the damaged structure if it is  unsafe for personnel within the building .

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True or false? if i were to hook up an ac voltage source to a resistor, the voltage drop across the resistor would be in phase with the current in the circuit.

Answers

if a person were to hook up an ac voltage source to a resistor, the voltage drop across the resistor would be in phase with the current in the circuit and this is a true statement.

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A resistor is known to be a form of a passive tool that does not create or consume power.

Note that it often changes electrical energy into heat and as such, if a person were to hook up an ac voltage source to a resistor, the voltage drop across the resistor would be in phase with the current in the circuit and this is a true statement.

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Vivian's Violins has sales of $326,000, contribution margin of $184,000 and fixed costs total $85,000. Vivian's Violins net operating income is Blank______. Multiple choice question. $241,000 $57,000 $99,000

Answers

Based on the calculations, Vivian's Violins net operating income is equal to: D. $99,000.

How to calculate net operating income?

Mathematically, the net operating income of an individual or business firm can be calculated by using this formula:

Net operating income = Contribution margin - Total fixed costs

Given the following data:

Sales = $326,000Contribution margin = $184,000Fixed costs total $85,000

Substituting the given parameters into the formula, we have;

Net operating income = $184,000 - $85,000

Net operating income = $99,000.

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A handsfree device may be used if it can be activated or deactivate with a?

Answers

A handsfree device may be used if it can be activated or deactivate with a cellphone.

What is hands-free?

Handsfree is a device which when connected to a cell device can be used in listening to audio, video and messages.

A driver can also activate or deactivate with a swipe when connect to the vehicle audio device.

Therefore,

A handsfree device may be used if it can be activated or deactivate with a cellphone.

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If extension done in a stork position, during backward bending in a standing position of a special test for lumbar spine, produces pain in the lumbar or sacral regions of the spine, it may indicate _____.

Answers

The answer is 7 because I just took the test!

When passing another car, make sure you maintain at least a _______ safety cushion

Answers

The answer is 4 because I just took the test!

The only difference between all GMA welding machines and some FCA welding machines is that all GMA welding machines must have a ______________.

Answers

Answer: Shielding gas solenoid

Explanation:

An isolation transformer whose main purpose is to reduce voltage spikes will have a turns ratio of?

Answers

Answer:

An isolation transformer whose main purpose is to reduce voltage spikes will have a turns ratio of 1 to 1.

This is due to the windings input and output having the same waveform and amplitude.

Soru No 3
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Answers

D) Never in a million years

When a system is in deep vacuum;
a. never add refrigerant to the system.
b. never use a micron gauge.
c. never energize the compressor.
d. never energize system fans and blowers.

Answers

When a system is in a deep vacuum, never energize the compressor. The correct option is a.

What is a deep vacuum?

A deep vacuum is a system in which the boiling point of liquid lowers down and the temperature lowers for outgassing. They help in freeze drying, metallurgy, distillation, etc. It used 500 or less than 500 microns for deep vacuum.

Vacuum tubes, such as cathode ray tubes, and electron microscopes are made possible by the electronic resistivity of the vacuum. Torr is the unit used to measure vacuums.

Thus, the correct option is a. never energize the compressor.

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When converting liquid level units to sensor output signal units, you should first convert the liquid level units to _____ units

Answers

The answer is 2 because I just took the test!

When converting liquid-level units to sensor output signal units, you should first convert the liquid-level units to engineering units.

The engineering units are the actual physical measurements of the liquid level, such as meters, feet, inches, or any other relevant unit of length or depth.

Once the liquid level is expressed in engineering units, you can then proceed with the conversion to the sensor output signal units, which typically involves scaling the engineering units to match the range and sensitivity of the sensor's output.

This ensures that the sensor provides an accurate and meaningful representation of the liquid level, making it easier to interpret and use the data for various applications.

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Determine the carburizing time necessary to achieve a carbon concentration of 0.30 wt.% at a position of 4 mm into an iron-carbon alloy that initially contains 0.10 wt.% C. The surface concentration is to be maintained at 0.90 wt.% C, and the treatment is to be conducted at C. Use the diffusion data for -Fe in Table 5.2

Answers

The carburizing time necessary to achieve a carbon concentration is 31.35 hours

How to find the Carburizing Time?

To determine the carburizing time necessary to achieve the given carbon concentration, we will use the equation:

(Cs - Cx)/(Cs - C0) = ERF(x/2√Dt)

where;

Cs is Concentration of carbon at surface = 0.90

Cx is Concentration of carbon at distance x = 0.30

Distance x = 4 mm = 0.004 m

C0 is Initial concentration of carbon = 0.10

ERF() = Error function at the given value

D = Diffusion of Carbon into steel

t = Time necessary to achieve given carbon concentration ,

Thus, plugging in the relevant values gives;

(Cs - Cx)/(Cs - C0) = (0.9 - 0.3)/(0.9 - 0.1)

= 0.6/0.8 = 0.75

now, ERF(z) = 0.75 and as such using ERF table, we can say that;

Z = 0.814. Thus;

(x/2√Dt) = 0.81

Using the table of diffusion data, we have;

At a temperature of  (1100°C) or 1373 K, we have;

D = 5.35 × 10⁻¹¹ m²/sec.

Calculating the carbonizing time by using the equation z = (x/2√Dt);

where;

t is carbonizing time

Thus;

0.814 = (0.004/(2 × √5.35 × 10⁻¹¹ × √t))

0.814 = 0.004 /(1.4628 × 10⁻⁵ × √t)

0.814 × 1.4628 × 10⁻⁵ × √t = 0.004

1.19072 × 10⁻⁵ × √t = 0.004  

√t = 0.004/(1.19072 × 10⁻⁵)

√t = 335.93

t = 112848.96 seconds

Converting to hours gives;

t = 112848.96/3600

t = 31.35 hours

Therefore, the carburizing time necessary to achieve a carbon concentration is 31.35 hours

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