A 20 g block of ice is cooled to −65 ◦C. It

is added to 570 g of water in an 76 g copper

calorimeter at a temperature of 26◦C.

Find the final temperature. The specific

heat of copper is 387 J/kg ·

◦C and of ice is

2090 J/kg ·

◦C . The latent heat of fusion of

water is 3.33 × 10^5

J/kg and its specific heat

is 4186 J/kg ·

◦C .

Answer in units of ◦C.

Answers

Answer 1

Answer:

The final temperature is approximately 23.55°C

Explanation:

The given parameters are;

The mass of the ice block, m₁ = 20 g

The initial temperature of the block, T₁ = -65°C

The mass of the water to which the block is added, m₂ = 570 g

The mass of the copper container containing the water, m₃ = 76 g

The initial temperature of the water and the copper, T₂ = 26°C

The specific heat capacity of copper, c₃ = 387 J/(kg·°C)

The specific heat capacity of ice, c₄ = 2,090 J/(kg·°C)

The latent heat of fusion of ice, l = 3.33 × 10⁵ J/kg

The specific heat capacity of water, c₁ = 4,186 J/(kg·°C)

We have;

ΔQ = m₁·c₁·ΔT + m₁·l = m₂·c₂·ΔT + m₃·c₃·ΔT

Therefore, we get;

20 × 2,090 × -65 +  20 × 3.33 × 10⁵ + 20 × T × 4,186  = 570 × 4,186 × (26 - T) + 76 × 387 × (26 - T)

Using a graphing calculator, we get;

83720·T + 3943000 = 62801232 - 2415432·T

The final temperature, T ≈ 23.55 °C


Related Questions

WILL MAKE BRAINLIEST! How does Hooke’s law help us understand the force and energy in elastic materials?

Answers

Answer:

How does Hooke’s law help us understand the force and energy in elastic materials?:

When the elastic materials are stretched, the atoms and molecules deform until stress is been applied and when the stress is removed they return to their initial state

Explanation:

Highlight two factors which shows that heat from the sun does reach the earth's surface by convection.

Answers

radiation

when the suns radiation fall on the earth and its objects they receive heat energy and hence get heated. Thus the suns heat reaches the earth by. the process of radiation

Absence of medium is the factor which shows that heat from the sun does reach the earth's surface by convection.

The heat of the sun reaches the earth only through radiation because radiation does not require any medium for the transfer of energy but convection and conduction required a medium to transfer heat energy.

We know that there is no medium present in vacuum so convection and conduction are impossible in a vacuum that's why the sun's heat does not reach the earth by conduction or convection.

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Minh spent the weekend on his Wii and now has carpal tunnel syndrome. His 120 V outlet has an electrical current of 8A. What is the resistance in the Wii?

Answers

The resistance is 15 ohms.

Also, it's dissipating 960 watts whenever it's turned on. So it's almost as hot as a toaster, and Minh no longer has hands.

Find the tension in the two groups that are holding the 2.9 kg object in Pl., One makes an angle of 35.6° with respect to the vertical group 2 is pulling horizontally

Answers

Answer:

≈ 20.35 N [newton's of tension]

Explanation:

( (2.9 × 9.8) ÷ cos(35.6°) ) × sin (35.6°) =

( (28.42) ÷ (≈0.813) ) × (≈0.582) =

(≈34.96) × (≈0.582) = 20.3449446.... ≈ 20.35

Which material transmits the most visible light?
A.Sunglass lens
B.Mirror
C.Clear glass
D.Black cloth

Answers

Answer:

c

Explanation:

A young boy swings a yo-yo horizontally above his head so that the yo-yo has a centripetal acceleration of 200 m/s^2. If the yo-up’s string is 0.33 m long, what is the yo-up’s tangential speed?

Answers

Answer:

v = 8.12 m/s

Explanation:

The centripetal acceleration of the yo-yo is given by the following formula:

[tex]a_c = \frac{v^2}{r}\\\\v^2 = a_cr\\v = \sqrt{a_cr}[/tex]

where,

v = tangential speed = ?

ac = centripetal acceleration = 200 m/s²

r = radius = length of string = 0.33 m

Therefore, using the given values in the formula, we get:

[tex]v = \sqrt{(200\ m/^2)(0.33\ m)}[/tex]

v = 8.12 m/s

A flute plays a note with a frequency of 266Hz. What is the speed of sound if the wavelength is 1.3m?

Answers

Explanation:

Wave speed  =  (frequency)  x  (wavelength)

                      =  (266 /sec)  x  (1.3 meters)

Why must the Moon travel more than a full orbit around the Earth for the full moon to be complete?

Answers

Answer:

The difference between the sidereal and synodic months occurs becuase as our moon moves around the earth, the earth also moves around our sun. Our moon must travel a little farther in its path to make up for the added distance and complete the phase cycle.

Explanation:

Hope this helps.

Can someone please help me with science.

Answers

On the dog's return trip (between t = 10 and t = 12.5 seconds), the slope of the position function is steeper than during the first 5 seconds, which means the dog ran home faster. The only option that captures this is D.

You can check to make sure that the dog indeed runs twice as fast on the return trip. The slope of the position function during the first 5 seconds is

(change in position) / (change in time) = (5 - 0) / (5 - 0) = 5/5 = 1

while during the return trip, it is

(0 - 5) / (12.5 - 10) = -5/2.5 = -2

Ignoring the sign (which only indicates the direction in which the dog was running), we see that the dog's speed on the return trip was indeed twice as high as during the first 5 s.

If all the forces acting on an object are balanced then the net force acting on it is zero. True or, false?

Answers

Answer:

true

Explanation:

if all forces are equal then there would be no stronger force to give any net force so it would be zero

6. Sandy adds 3 sugar packets to her tea in order to make it sweeter. She stirs in the sugar and then takes a sip. She notices that not all the sugar was dissolved. What type of solution did she make?

A. Saturated B.Unsaturated C.Supersaturated D.Mildly saturated

Answers

Answer:

C.Supersaturated

Explanation:

There are three types of solution:

SATURATED SOLUTION:

It is the solution that contains maximum amount of solute dissolved in a solution in normal conditions.  

UNSATURATED SOLUTION:

It is the solution that contains less than the maximum amount of solute dissolved in a solution in normal conditions. It has space for more solute to be dissolved in it.

SUPERSATURATED SOLUTION:

It contains more than the maximum amount of solute dissolved in it. Such a solution has no capacity to dissolve any more solute under any conditions.

Since the sugar is no more dissolving in the tea and has settled down. Therefore, the solution is:

C.Supersaturated

takes 5 seconds and 2,000 J for a crane to lift a very heavy object. Which of these correctly describes power and energy for this action?

2,000 J of energy was converted into some other energy, requiring 10,000 W of power.
2,000 J of energy was converted into some other energy each second, requiring 400 W of power
2,000 J of power was converted into 400 W of energy.
2,000 J of power was converted into some other power every second, requiring 10,000 W of energy.

Answers

A crane takes 5 s and 2,000 J to lift an object. That is, 2,000 J of energy was converted into some other energy each second, requiring 400 W of power.

What is power?

In physics, power is the amount of energy transferred or converted per unit time.

A crane uses 2,000 J of energy (E) to perform work (W) is 5 s (t). Let's calculate the power used (P).

P = W / t = 2,000 J / 5 s = 400 W

Which of these correctly describes power and energy for this action?

2,000 J of energy was converted into some other energy, requiring 10,000 W of power. No, the required power was 400 W.2,000 J of energy was converted into some other energy each second, requiring 400 W of power. Yes.2,000 J of power was converted into 400 W of energy. No, energy cannot be converted into power.2,000 J of power was converted into some other power every second, requiring 10,000 W of energy. No, the required power was 400 W.

A crane takes 5 s and 2,000 J to lift an object. That is, 2,000 J of energy was converted into some other energy each second, requiring 400 W of power.

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#SPJ1

Which of the following statements is true about absolute zero?

It is the point at which electrons separate from the nucleus of atoms.
It is the point at which electrons separate from the nucleus of atoms.

It is theoretically the point at which all particle motion stops.
It is theoretically the point at which all particle motion stops.

It occurs at 273 degrees Kelvin.
It occurs at 273 degrees Kelvin.

It is the point at which protons separate from neutrons in the nucleus

Answers

Answer:

It is the point at which electrons separate from the nucleus of atoms. It is the point at which electrons separate from the nucleus of atoms. It is theoretically the point at which all particle motion stops. ... It occurs at 273 degrees Kelvin. ... It is the point at which protons separate from neutrons in the nucleus.

Explanation:

I have an unknown volume of gas at a pressure of 0.500 atm and a temperature of 325 K. If I raise the pressure to 1.20 atm, decrease the temperature to 320. K, and measure the final volume to be 48.0 liters, what was the initial volume of the gas?

Answers

Answer:

117

Explanation:

the formula is P1V1 over T1 is equals to P2V2 over T2

A point source emits sound waves with a power output of 135 watts. What is the sound level (in dB) at a distance of 10 m

Answers

Answer:

The sound level of the point source at a distance of 10 meters is approximately 110.294 decibels.

Explanation:

First, we calculate the intensity ([tex]I[/tex]), in watts per square meter, by the Inverse-Square Law:

[tex]I= \frac{\dot W}{4\pi\cdot r^{2}}[/tex] (1)

Where:

[tex]\dot W[/tex] - Power, in watts.

[tex]r[/tex] - Radius, in meters.

And the sound intenity level ([tex]L[/tex]), in decibels, is expressed by:

[tex]L = 10\cdot \log_{10} \frac{I}{I_{o}}[/tex] (2)

Where [tex]I_{o}[/tex] is the reference sound intensity, in watts per square meter.

If we know that [tex]\dot W = 135\,W[/tex], [tex]r = 10\,m[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then we find that sound level at a distance of 10 meters is:

[tex]I= \frac{\dot W}{4\pi\cdot r^{2}}[/tex]

[tex]I = 0.107\,\frac{W}{m^{2}}[/tex]

[tex]L = 10\cdot \log_{10} \frac{I}{I_{o}}[/tex]

[tex]L \approx 110.294\,dB[/tex]

The sound level of the point source at a distance of 10 meters is approximately 110.294 decibels.

Which of the following ways of writing 1000w is incorrect?
1) 1 kW
2) 1 x 10³ W
3) 10 x 10³ W
4) 1.0 x 10³ W

Answers

Answer:

the third one is incorrect

Explanation:

10 x 10³= 10^1 x 10^3 = 10^4

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

Answers

Answer:

The average speed for the runner B for the first 25 seconds was;

30/25 = 1.2 m/s

Explanation:

The average speed of an object is given by the following formula

[tex]Average \ speed = \dfrac{Total \ distance \ covered}{Total \ time \ taken \ to \ cover \ the \ distance}[/tex]

From the graph, we have;

The coordinates of the runner B at the start = (0, 0)

The coordinates of the runner B after 25 seconds = (25, 30)

The total distance covered by the runner B after 25 seconds = The difference between the position at 25 seconds and the origin which is 30 meters

∴ The total distance covered by the runner B after 25 seconds = 30 meters

The time it takes the runner B to cover the distance = The 25 seconds

[tex]\therefore \ For \ the \ runner \ B, the \ average \ speed = \dfrac{30 \ meters}{25 \ seconds} = 1.2 \ m/s[/tex]

The average speed for the runner B for the first 25 seconds = 30 m/(25 s) = 1.2 m/s.


1.
David is 10% taller than Peter and Peter is 5% shorter than John. It is given that the height of Peter
is 171 cm.
(a) Find the height of John.
Iso
(2 marks)
(b) David claims that he is the tallest person among the three. Do you agree? Explain your answer.
(2 marks)​

Answers

Answer:

I don't know if I can help you with that

A proton travels through uniform magnetic and electric fields. The magnetic field is in the negative x direction and has a magnitude of 2.48 mT. At one instant the velocity of the proton is in the positive y direction and has a magnitude of 1840 m/s. At that instant, what is the magnitude of the net force acting on the proton if the electric field is (a) in the positive z direction and has a magnitude of 5.19 V/m, (b) in the negative z direction and has a magnitude of 5.19 V/m, and (c) in the positive x direction and has a magnitude of 5.19 V/m

Answers

Answer:

a)   F = 15.6 10⁻¹⁹  k^   N,  b)  F = -1  10⁻¹⁹  k^   N,

c)  F = (8.3 i^ + 73 k^) 10⁻¹⁹ N

Explanation:

In this exercise we calculate the magnetic and electric force separately.

Let's start by calculating the magnetic force

       F_m = q v x B

where bold letters indicate vectors, the modulus of this expression is

       F_m = q v B

the direction is given by the right hand rule, where the thumb points in the direction of velocity, the fingers are extended in the direction of the magnetic field and the palm is in the directional ne force if the charge is positive

let's calculate the magnitude

      F_m = 1.6 10⁻¹⁹  1840  2.48 10⁻³

      F_m = 7.3 10⁻¹⁹ N

we calculate the direction, the thumb is in the direction of + y,

fingers extended in the direction of -ax

the palm remains + z

therefore the magnetic force is in the direction of the positive side of the z axis

The electric force is

        F_e = q E

give several possibilities for the electric field

a) electric field E = 5.19 V / m in the direction of + z

we calculate

        F_e = 1.6 10⁻¹⁹ 5.19

        F_e = 8.3 10⁻¹⁹ N

the total force is

       F = F_m + F_e

       F = (8.3 k ^ + 7.3 k ^) 10⁻¹⁹

       F = 15.6 10⁻¹⁹  k^   N

b) in the -z direction

       F_e = -8.3 10⁻¹⁹ k^   N

       F = Fm + Fe

       F = (-8.3 k ^ + 7.3 k ^) 10⁻¹⁹

       F = -1  10⁻¹⁹  k^   N

c) in the + x direction

       F_e = 8.3 10⁻¹⁹  i^   N

the total force is

       F = (8.3 i^ + 73 k^) 10⁻¹⁹ N

PLEASE HELP!!!!!!!!!!!!!!!!Match the label with the reason it might be important to the consumers.
1. country of origin
Kelli only buys vegetables grown
without pesticides.
Angie only buys foods made with
2. Organic Certification
sea salt to cut sodium intake.
3. dietary guideline
Nikki prefers to buy local products
to lessen her carbon footprint.

Answers

Answer:

1 is Nikki

2 is Kelli

3 is Angie

Explanation:

Hope this helps!

PLEASE HELP ME I AM TIMED!

Answers

Answer:

Well my good friend the other person did not give U a good answer, it is actually the third one

Explanation: well it is the most logical of all the answers if you think about it and a lot of the creatures we have in the water today are thought of to have once lived on land based on the fossils we still find to this very day my friend

A car and a semi-truck are both traveling along a road. Based on Newton's 2nd law, what will happen if both cars apply the same type of brakes at the same time?

Answers

Answer: ask god in your prayers

Explanation: im here for the same reason you are

I DONT KNOW THE ANSWER

Answer:

The semi-truck will stop after the car.

Explanation:

It will do that because the semi-truck has more mass than the car.

A car travels 9 km East, turns around, then travels 3 km West. What is the car's
DISPLACEMENT? *

Answers

Explanation:

I think you are 100℅ clear.

What is the color of lava at its hottest? Help asap

Answers

yellow !!!!!!!!!!!!!!!!

Please help please real quick

Answers

Answer:

1. (a) The final velocity is 20 m/s

(b) The distance travelled is20 meters

2. The distance travelled by the train in the 30 seconds is 825 meters

3. The most correct option is;

(d) 53 km

4. The heat, developed by the electric iron is 15,000 joules

5. a) In the first network the resistance between A and B is 2 Ω

b) In the second network the resistance between A and B is 4Ω

c) In the third network the resistance between A and B is 6Ω

d) In the fourth network the resistance between A and B is 2Ω

Explanation:

1. (a) The parameters of the cheetahs motion are;

The initial motion (velocity) of the cheetah = 0 m/s (The cheetah starts from rest)

The acceleration of the cheetah, a = 2 m/s²

The duration of the acceleration of the cheetah, t = 10 seconds

The kinematic equation of the motion of uniform acceleration, of the cheetah can be written in the following form;

v = u + a·t

s = u·t + 1/2·a·t²

Where;

v = The final velocity

u = The initial velocity = 0 m/s

a = The acceleration of the cheetah = 2 m/s²

s = The distance traveled

∴ v = 0 + 2 × 10 = 20

The final velocity, v = 20 m/s

(b) From s = u·t + 1/2·a·t², we have;

s = 0 × 10 + 1/2 × 10 × 2² = 20

The distance travelled, s = 20 meters

2. The given details of the motion of the train are;

The initial velocity of the train, u = 20 m·s⁻¹

The acceleration of the train, a = 0.5 m·s⁻²

The duration of the train's acceleration, t = 30 seconds

Therefore, the distance travelled, 's', is given by; s = u·t + 1/2·a·t²

∴ s = 20 × 30 + (1/2) × 0.5 × 30² = 825

The distance travelled by the train in the 30 seconds, s = 825 meters

3. The given distance the truck covers with the average speed of 80 km/h, d₁ = 40 km

The distance the truck then covers with the average speed of 40 km/h, d₂ = 40 km

[tex]Average \ speed = \dfrac{Total \ distance}{Time}[/tex]

[tex]\therefore time, \, t = \dfrac{Total \ distance}{Average \ speed}[/tex]

The time it takes the truck to cover the 40 km at 80 km/h = 40 km/(80 km·h) t₁ = 0.5 hour

The time it takes the truck to cover the 40 km at 80 km/h = 40 km/(40 km·h) t₂ = 1 hour

The total time taken to cover both 40 km distances, t = t₁ + t₂

∴ The total time taken to cover both 40 km distances, t = (0.5 + 1) hour = 1.5 hours

The total distance covered at both speeds, d = d₁ + d₂

∴ d = 40 km + 40 km = 80 km

The average speed of the truck for the total distance, [tex]v_{average}[/tex] = d/t

∴ [tex]v_{average}[/tex] = 80 km/1.5 hours = 53.[tex]\overline 3[/tex] km/h ≈ 53 km/h

The average speed of the truck for the total distance, [tex]v_{average}[/tex] ≈ 53 km/h

The correct option is (d) 53 km

4. The heat, 'H', developed by the electric iron is given by the following formula;

H = I²·R·t

Where;

I = The current flowing in the electric iron = 5 A

R = The resistance of the iron = 20Ω

t = The time duration of the flow of the current = 30 s

∴ H = (5 A)² × 20 Ω × 30 s = 15,000 joules

The heat, developed by the electric iron, H = 15,000 joules

5. Let 'R' represent the resistance between A and B in each network

a) For the first network, we have;

1/R = 1/(2 + 2) + 1/(2 + 2) = 1/4 + 1/4 = 1/2

∴ R = 2 Ω

∴ The resistance between A and B is 2 Ω

b) For the second network, we have;

R = 1/(1/2 + 1/2) + 3 = 4

R = 4Ω

∴ The resistance between A and B is 4 Ω

c) For the third network, we have;

R = 2 + 1/(1/4 + 1/4) + 2 = 6

R = 6Ω

∴ The resistance between A and B is 6 Ω

d) For the fourth network, we have;

R = 1/(1/2 + 1/2) + 1/(1/2 + 1/2) = 2

R = 2Ω

∴ The resistance between A and B is 2 Ω

Juan is studying a group of cells under a microscope. His teacher tells him that the cells either came from the leaf of a tomato plant or the scale of a lizard. Juan could conclude that the cells came from the tomato plant if they contained?

Answers

Answer:

chloroplasts

Explanation:

Imagine you leave the dock on a fishing boat that travels east for 30 kilometers when the captain realizes he left the fishing rods on the dock. It takes him 40 minutes to travel out against the current but only 20 minutes to return to the dock.

Answers

Answer:

Average speed is 60 km/hr whereas average velocity is 0 km/ hr.

Explanation:

The average speed of the boat is 60 km/ hr while on the other hand, the average velocity of the boat is 0 km/ hr because average speed is the total distance covered by the boat in total time and average velocity is the displacement covered by the boat in total time. The total distance covered by the boat is 60 km and the total time is 60 minutes which is equals to one hour so the answer is 60 km/hr whereas the displacement is the shortest distance between initial and final position which is 0 in this case so 0 divided by 60 minutes or one hour is also 0.

Suppose a blanket has a sock stuck to it due to static electricity. When you pull the sock off of the blanket, what happens to the potential energy between them?

Answers

Explanation:

When you pull the sock off of the blanket, the socks gain electrons out of blanket. This makes socks slightly negatively charged. The potential energy of the socks rise whereas potential energy of the blanket reduces. This happens because of exchange of electrons between socks and blanket.


Why is the magnetic force considered to be an action datance force

A Magnets in de bo exert a force

B. Magnets do not have to touch each other to experience a force.

C. Magnets push each other apan to increase the distance between them.

D Magnets mast be large in sire in onder to eden a force that is strong enough to notice

Answers

I think b is the right one

Seasons are more noticeable in places that are____from to the equator

Farther
Or
Closer

2.gravity and wind move water
True or false

It is for today pls help

Answers

1. farther
2. true

the equator is a weirdo
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