Three liquids are at temperatures of 2°C, 21°C, and 34°C, respectively. Equal masses of the first two liquids are mixed, and the equilibrium temperature is 5 C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 30.1°C.
Find the equilibrium temperature when equal masses of the first and
third are mixed.
Answer In units of 'C.

Answers

Answer 1

Answer:

m - mass of each liquids (all masses are equal )

C_1C 1 - specific heat of the first third C_2C 2 - specific heat of the second  liquid

C_3C 3- specific heat of the third liquid

Temperature of liquids: T_1=7 ◦C,T_2=20◦C, T_3=34◦CT

1 =7◦C,T 2 =20◦C,T 3=34◦C

Temperature of 1+2 liquids mix: T_{12}=11^oCT

12 =11 oC

Temperature of 2+3 liquids mix: T_{23}=22.6^oCT

23=22.6 oC

Temperature of 1+3 liquids mix: T_{13} - ?T 13 −?

When the first two are mixed:

m C₁ (T₁ − T_{12}) + m C₂ (T₂ − T_{12}) = 0 \\ C₁ (7− 11) + C₂ (20 − 11) = 0\\ 4C_1=9C_2\\ C_1=2.25C_2mC₁(T₁−T 12)+mC₂(T₂−T 12 )=0C₁(7−11)+C₂(20−11)=04C \1=9C 2C 1 =2.25C 2

​When the second and therd are mixed:

m C_2 (T_2 − T_{23}) + m C_3 (T_3 − T_{23}) = 0 \\ C_2 (20−22.6) + C₂ (34 −22.6) = 0\\ 2.6C_2=11.4C_3\\ C_2=4.38C_3mC 2 (T 2 −T 23 )+mC 3 (T 3 −T 23 )=0C 2(20−22.6)+C₂(34−22.6)=02.6C 2 =11.4C 3C2 =4.38C 3

​When the first and therd are mixed:

m C_1 (T_1 − T_{13}) + m C_3 (T_3 − T_{13}) = 0 \\ C_1 (7−T_{13}) + C_3 (34 −T_{13}) = 0\\ C_1=2.25C_2=2.25(4.38C_3)=9.86C_3\\ 9.86C_3 (7−T_{13})=-C_3(34 −T_{13})\\ 9.86 (7−T_{13})=-(34 −T_{13})\\ T_{13}=9.5^oCmC 1(T1 −T13)+mC 3(T3−T13 )=0C1 (7−T13 )+C 3(34−T 13 )=0C1 =2.25C2=2.25(4.38C3 )=9.86C39.86C3 (7−T13 )=−C3(34−T13 )9.86(7−T13)=−(34−T13 )T13 =9.5 oCT_{13}=9.5^oCT 13 =9.5 o C:


Related Questions

A 160 kg cart has a momentum of 870 kg m/s. What is the velocity of the cart?

Answers

Answer: 5.44 m/s

Explanation:

Given:

Mass of cart: 160 kg

Momentum of cart: 870 kg•m/s

[tex]$$Momentum $|\rho|=m \times v$$$\begin{aligned}&870 \ kg\cdot m/s=160 \mathrm{~kg} \times v \\&v=5.44 \mathrm{~m} / \mathrm{s}\end{aligned}$$[/tex]

Answer:

The momentum is defined as :

P=mv

Where m is the mass and v is the velocity. In this case we know the mass is 160 kg and the momentum is 870 kg plugging in this equation above and solving for the velocity we have

870=160V

V=870÷160

V=5.44

Therefore, the velocity of the cart is 5.44 m/s.

Question 20 I need help ASAP!!

Answers

Answer:

1.) Gas = Are the particles moving quickly in a radom pattern?

2.) Plasma = Are the particles electrically charged?

3.) Solid = Are the particles vibrating in a fixed position?

4.) Liquid = Are the particles sliding past each other?

Hope this helps!

Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.
Write out your problem and submit it for Part 1. Be sure to end your scenario with a question

Answers

Answer:

hey

Explanation:

Displacement covered by the man calculated by using Pythagoras theorem is 10 km.

What is Pythagoras Theorem ?

Pythagoras theorem states that, for a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the altitude and base sides.

Here,

The Pythagoras Theorem can be written as,

c² = b² + a²

where c is the hypotenuse, b is the base and a is the altitude of the triangle.

An example of application of the Pythagoras theorem is,

A man started walking from his home and covered a distance of 8 km towards the east and then turned right and walked a distance of 6 km towards the south, what is his displacement now from his starting point ?

A line drawn from his current position and his initial point represents the displacement covered by the man.

Let the starting point be A, then he walks to the point B and then he turns right and walks upto the point C.

Drawing a figure including all the data, we get a right angled triangle, ABC. So,

The base of the triangle, BC = 6 km

Altitude of the triangle, AB = 8 km

The displacement of the man = hypotenuse of the triangle

d = AC

According to Pythagoras Theorem,

AC² = BC² + AB²

AC² = 6² + 8² = 100

AC = √100

Therefore, displacement, d = AC = 10 km.

Hence,

Displacement covered by the man calculated by using Pythagoras theorem is 10 km.

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Attaching the image file here.

If a typical house requires 235 W of electric power on average, how much deuterium fuel would have to be used in a year to supply these electrical needs

Answers

For a typical house requires 235 W of electric power on average,  deuterium fuel used is mathematically given as

E=79206.75

How much deuterium fuel would have to be used in a year to supply these electrical needs?

Generally, the mass and time statement  of deuterium is mathematically given as

Mass deuterium=2.014g

time =3.15*107s= 1year

In conclusion, energy

E=235*3.15*107s

E=79206.75

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. A marble sphere with a diameter of 1/4 inch is fully immersed in the oil of density 0.961 g/cm3 . Calculate the buoyant force exerted on the marble sphere by the oil.

Answers

Answer:

See below    ( was it REALLY 1/4 INCH??)

Explanation:

Calculate the volume of the sphere

v = 4/3 pi r^3

 this times the density of the oil will give g displacement

   then f = ma

4/3 pi (.25 in  * 2.54 cm/inch) ^3  * .961 = 1.0307 gm

1.0307 gm   is   .0010307 kg

f = ma = .0010307 * 9.8 = .0101 N

According to Newton's Law of Gravity, if two objects were to move twice as far apart, the force of gravity between them would be...

Answers

The force of gravity between them given the data from the question, would decrease by a factor of 4

Newton's law of gravity

F = GM₁M₂ / r²

Where

F is the force G is the gravitational constant M₁ and M₂ are the masses of the objectsr is the distance apart

Data obtained from the question Initial distance apart (r₁) =  rInitial force (F₁) = FFinal distance apart (r₂) = 2rFinal force (F₂) =?

How to determine the final force

F = GM₁M₂ / r²

Cross multiply

Fr² = GM₁M₂

GM₁M₂ = constant

F₁r₁² = F₂r₂²

With the above formula, we can obtain the final force as follow:

F₁r₁² = F₂r₂²

F × r² = F₂ × (2r)²

Fr² = F₂ × 4r²

Divide both side by 4r²

F₂ = Fr² / 4r²

F₂ = F / 4

Thus, we can conclude that the final force will decrease by a factor of 4

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How does water form in the clouds? Explain how

Answers

When air rises in the atmosphere it gets cooler and is under less pressure. When air cools, it's not able to hold all of the water vapor it once was. Air also can't hold as much water when air pressure drops. The vapor becomes small water droplets or ice crystals and a cloud is formed.

I hope this helps you..

Seeds are often found on which part of a gymnosperm?

branch
leaf
cone
stem

Answers

Answer: Cone



Explanation: gymnosperm, any vascular plant that reproduces by means of an exposed seed—unlike angiosperms, or flowering plants, whose seeds are enclosed by mature fruits. The seeds of many gymnosperms (literally, “n4ked seeds”) are borne in cones and are not visible until maturity.

Which of the following processes is more easily observable for light with a short wavelength?

help please.

Answers

Answer:

Option B

Explanation:

Option B

Answer is PHOTOELECTRIC EFFECT

The spring of a dart gun exerts a force on a 0.02 kg dart as it is launched from the gun with 4.00 J of KE. At what velocity does the dart come out of the gun?

Answers

Let's see

KE=1/2mv²

m is mass and v is velocity

2KE=mv²4(2)=0.02v²8=2v²/1002v²=800v²=400v=20m/s

The half life of uranium-235 is 4. 5 billion years. If 0. 5 half-lives have elapsed, how many years have gone by?


a. 9 billion

b. 2. 25 billion

c. 4. 50 billion

d. 4. 0 billion

Answers

Answer:

2.25 billion years

Explanation:

i am smort

An electric appliance is connected by wires to a 240-volt source of voltage. If the combined resistance of the appliance and wires is 12 ohms, how much current is flowing through the circuit?

Answers

Voltage=V=240VResistance=R=12ohmCurrent be I

Apply ohms law

V=IR240=12II=240/12I=20A

Answer :-

Current is 20 Ampere .

Explanation :-

As per the provided information in the given question, we have been given that the Potential Difference is 240 Volt's . Resistance is given as 12 Ohm's . And, we have been asked to calculate the Current .

For calculating the Current , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Current \: = \: \dfrac{Voltage}{Resistance} \: }} \\ [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \Longrightarrow \: \: \: \sf { Current \: = \: \dfrac{Voltage}{Resistance} } \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Current \: = \: \dfrac{ \: 240 \: }{12} } \\ [/tex]

[tex] \Longrightarrow \: \: \textbf {\textsf { Current \: = \: 20 }} \\ [/tex]

Hence :-

Current = 20 Ampere .

[tex] \underline {\rule {180pt}{4pt}} [/tex]

Additional Information :-

[tex] \Longrightarrow \: \: \: \sf {Voltage \: = \: Current \: \times \: Resistance} [/tex]

[tex] \Longrightarrow \: \: \: \sf {Current \: = \: \dfrac {Voltage}{Resistance} } [/tex]

[tex] \Longrightarrow \: \: \: \sf {Resistance \: = \: \dfrac {Voltage}{Current} } [/tex]

In a circuit, when the electrical resistance increases, the current _______ because it is _______ for the electrons to flow

Answers

In a circuit, when the electrical resistance increases, the current _______ because it is _______ for the electrons to flow.

[tex] \\ [/tex]

Answer:

In a circuit, when the electrical resistance increases, the current decreases because it is blocking for the electrons to flow.

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Light of wavelength 630 nm (630 x 10-9 m) is used to produce a double slit diffraction pattern where the third order image is 0.10 m from the central image using a diffraction grating constant of 4.9 x 10-5 m. How far is the screen from the slits? SHOW ALL WORK

Answers

For Light of wavelength 630 nm (630 x 10-9 m) is used to produce a double slit diffraction pattern where the third order image is 0.10 m the distance of  the screen from the slits  is mathematically given as

D = 26m

How far is the screen from the slits?

Generally, the equation for the small-angle approximation  is mathematically given as

x = n(Landa)D/d

therefore,

D =  0.10x4.9 x 10-5/(3x630 x 10-9)

D = 26m

In conclusion, the distance of  the screen from the slits is

D = 26m

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A light bulb has a resistance of 360 . What is the current in the bulb when it has a potential difference of 120 V across it?

0.33 A
3 A
480 A
43,200 A

Answers

Answer:

333 mAmps      .33 A

Explanation:

v = ir

v/r = i

120 v / 360 ohm = .3333 A

Answer:

A). 0.33A

Explanation:

You throw a 0.5 kg ball with a force of 10 N. What is the acceleration of the ball?

Answers

Answer:

20m/s^2

Explanation:

F=ma, therefore 10N = 0.5kg * a. Solve for a.

in this image of a series circuit, which light bulb will the current reach first

a. bulb a
b. bulb b
c. bulb c
d. a, b, and c simultaneously

Answers

I think the answer is D.

Explanation: Assuming that all the bulbs in a circuit are identical, incandescent-style ones, they will all light up at the same time.

Starting from rest, an object accelerates on a straight level surface at the rate of 2 m/s for 10 s. 9. What is the speed of the object at the end of 10 s? (A)5 m/s (B) 10 m/s (C) 20 m/s (D) 30 m/s (E) 40 m/s​

Answers

Answer:

C

Explanation:

a = v-u / t

a×t = v (u= 0 therefore is ignored)

2m/s² × 10s = v

v= 20m/s

What is the current in a bulb if the resistance of its filament is 2 ohms and it is connected across a 6-volt battery

Answers

Answer:

3 amps

Explanation:

V = IR

6 = I * 2

I = 3 amps

Continental air masses usually contain less moisture because they...


...originate over water.


...originate over ice.


...move from water onto land.


...originate over land.

brainliest for correct answer

Answers

Answer:

I believe its either the 3rd or 4th one

Explanation:

I'm not sure if these are correct sorry if this is a false or unhelpful anwser

What does sound travel through?

Answers

Answer:

Solids liquids and gases

Explanation:

sound will not travel in a vacuum

If you pull a permanent magnet rapidly away from a tank circuit, what is likely to happen in that circuit?.

Answers

Answer:

attract the magnetic ratio engine light of rock level

Can electromagnetic waves travel in a vacuum?

Yes
Or
No

Answers

Answer:

Yes

Explanation:

Yes because Electromagnetic waves differ from mechanical waves in that they do not require a medium to propagate. This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.

2 ton car that starts from rest under the action of traction engine for 30 seconds gains speed 52 km / h. the coefficient of friction between the wheels of the car and the road is 0.02. find: the work done by the traction of the engine and the friction beam on the car at this time​

Answers

Answer:

1 m/s=3.6km/her

56km/hr=?

=56km/hr×1m/s/3.6km/her

velocity is 15.5m/s

Explanation:

w=fs

a=v/t

a=15.5m/s/30s

a=465m/s^2

w=fs

w=0.02×

Mike is pushing a car up a ramp. What could Mike do to reduce the effort force he needs to use to push the car?

Answers

Answer:

He could use a really big pulley system or get in it and drive or call a tow truck.

explain how to identify the points under compression and tension ​

Answers

Answer:

Pls make me brainliest

Explanation:

the compression force is the force generated from compressing an object or substance. When shearing forces are aligned into each other, they are called compression forces.

The compression force is used to power everything from compression brakes to hand tools. The compressive strength of materials and structures is an important engineering consideration.

The compression force can be visualized by placing an object on a spring. When the spring is compressed and then released, the object is ejected into the air.

This is a result of the compression force that is generated from compressing the spring.

This system has a constant velocity, and there is an equilibrium because the tension in the cable, which is pulling up the object, is equal to the weight force, i.e., mg. Where M is a mass, and g is the acceleration caused by gravity, which is pulling down the object.

The Formula of Tension.

T = Mg

Tension word becomes from a Latin word meaning “to stretch.” Testing part of the force, Like one type of pull force. All physical objects that are in contact may exert forces on each other.

This contact forces different names based on these types of objects in contact. Where one of the objects exerting the force happens to be a rope, string, chain, or cable we call the force tensions

Marcus plucks at an outstretched coil and observes the following wave motion. what is the motion of the particles in this kind of wave? a hand holds the left end of a set of waves. the wave has longer and shorter spaces between successive waves as it spreads to the right. a label wave motion is above the series of waves and an arrow next to the label points right. the particles will move up and down over large areas. the particles will move up and down over small areas. the particles will move side to side over small areas. the particles will move side to side over large areas.

Answers

The motion of the particles in this kind of wave will be option C that is The particles will move side to side over small areas.

What is a wave?

A wave can be described as a disturbance that travels through a medium from one location to another location.

When Marcus plucks an outstretched coil, the coli sets into wave like motion that is oscillates to and fro. The particles of the medium do not move along the wave but just vibrate sideways about a fixed position.

The particles would move side to side over very small areas. Such type of wave is known as a mechanical wave. A Sound wave is a mechanical wave.

The particles vibrate in the direction of the motion of the wave. The wave carries forward the energy.

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Answer:

C is the correct answer. :)

Explanation:

If new evidence is discovered that a theory does not accommodateoptions:

the theory is disproved and thrown out


the theory then becomes a law


the theory is generally modified in light of this new evidence


the theory can not change so it stays the same

Answers

Answer:

The theory is generally modified in light of this new evidence.

2.
What is the coefficient of friction between a block of wood that weighs 12.2
N and requires a force of 2 N to pull along at a constant velocity?
Want
Equation and solve
Given

Answers

Answer:

0.163934

Explanation:

Kinetic friction can be calculated by coefficient of kinetic friction * normal force. In this question the Mg is = to normal force (12.2 N). Therefore using sum of forces equations we get 2N = coefficient of kinetic friction * 12.2N. divide 2 by 12.2 to get the coefficient.

The potential difference across a conducior is 6.0V. What is the energy dissipaled when a current of 5.0 A flows for 1 minute?

Answers

Answer:

1/2 watt hr    

Explanation:

watts = V I   =   6 * 5 = 30 watts   for 1/60 hr

30 watts * 1/60 hr = 1/2  watt hr

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