When you mix two substances, the heat gained by one substance is equalto the heat lost by the other substance. Suppose you place 125 g of aluminum ina calorimeter with 1,000 g of water. The water changes temperature by 2 °C andthe aluminum changes temperature by â74.95 °C.

Required:
a. Water has a known specific heat capacity of 4.184 J/g °C. Usethe specific heat equation to find out how much heat energy the watergained (q).
b. Assume that the heat energy gained by the water is equal to the heat energy lost by the aluminum. Use the specific heat equation to solve for the specific heat of aluminum. (Hint: Because heat energy is lost, the value of q is negative.)

Answers

Answer 1

Answer:

A) 8,368 J

B) 0.893 J/gºC

Explanation:

A)

The heat gained by the water can be obtained solving the following equation:

       [tex]q_{g} = c_{w} * m * \Delta T (1)[/tex]

where cw = specific heat of water = 4.184 J/gºCm= mass of water = 1,000 gΔT = 2ºC Replacing these values in (1) we get:

       [tex]q_{g} = c_{w} * m * \Delta T = 4.184 J/gºC*1,000 g* 2ºC = 8,368 J (2)[/tex]

B)

Assuming that the heat energy gained by the water is equal to the one lost by the aluminum, we can use the same equation, taking into account that the energy is lost by the aluminum, so the sign is negative:  -8,368 J.Replacing by the mass of aluminum (125 g), and the change in temperature (-74.95ºC), in (1), we can solve for the specific heat of aluminum, as follows:

       [tex]q_{l} = c_{Al} * m_{Al} * \Delta T (3)[/tex]

⇒    [tex]-8,368 J = c_{Al}* 125 g * (-74.95ºC) (4)[/tex]

       [tex]c_{Al} = \frac{-8,368J}{125g*(-74.95ºC} = 0.893 J/gºC (5)[/tex]

Answer 2

Answer:

A: the heat gained is 8368 J (8.368 KJ)

B: 0.893 J/g°C

Explanation:

A:

q = ?

m = 1000 g

C = 4.184 J/g°C

△T = 2°C

q = mc△T

q = (1000g) (4.184 J/g °C) (2 °C)

q = 8368 J

B:

q = mc△T

---------------

△T    △T

c = q / m△T

c = - 8368 J / (125 g) (-74.95 °C)

c = 0.893 J/g°C


Related Questions

Why is it important that an astronomer studies physics?

Answers

Physicists and astronomers conduct research to understand the nature of the universe and everything in it. These scientists observe, measure, interpret, and develop theories to explain celestial and physical phenomena using mathematics. From the vastness of space to the infinitesimal scale of subatomic particles, they study the fundamental properties of the natural world and apply the knowledge gained to design new technologies.

Answer:

Astrophysicists study the physics of the universe. “Astrophysics” is a term that is often used interchangeably with “astronomy.” Atomic, molecular, and optical physicists study atoms, simple molecules, electrons, and light, as well as the interactions among them

Explanation:

A baseball player swings his bat with hisarms fully extended. If hisarms are pulled in closer to the body, and he swings again, which of the following is true aboutthe angular momentum and kinetic energy of the player?
Angular Momentum Kinetic Energy
(A) Increases Increases
(B) Increases Remains Constant
(C) Remains Constant Increases
(D) Remains Constant Remains Constant
(E) Decreases Remains Constant

Answers

Answer:

(D) Remains Constant Remains Constant

Explanation:

Taking a swing with his arms closer to his body does not change the angular momentum or kinetic energy of this player.

The angular momentum is constant or stays the same if an object is spinning, except there is an external torque which acts on it. Also the kinetic energy stays constant as long as magnitude still remains the same and the only thing that is changing here is direction

Two long parallel wires are 4 cm apart and carry currents of 2 A and 6 A in the same direction. calculate the force between the wire perimeter of wire length

Answers

Answer:

The  force per unit length of the wire is 6 x 10⁻ N/m.

Explanation:

Given;

distance between the two parallel wires, r = 4 cm

current in the first wire, I₁ = 2 A

current in the second wire, I₂ = 6 A

The force per unit length of the wire is calculated as;

[tex]\frac{f}{l} = \frac{\mu I_1 I_2}{2\pi r} \\\\\frac{f}{l} =\frac{4\pi \times 10^{-7} \ \times \ 2 \ \times \ 6}{2\pi \ \times \ 0.04} \\\\\frac{f}{l} = 6 \ \times \ 10^{-5} \ N/m\\\\[/tex]

Therefore, the  force per unit length of the wire is 6 x 10⁻ N/m.

What would be the electrostatic force between an electron and a neutron? Explain your answer

Answers

What class is this for

2. A 60 kg diver jumps off a diving board with a height of 10
meters and accelerates toward the ground. At the point shown
in the diagram, she has 1,764 Joules of gravitational energy
and 4,116 Joules of kinetic energy. What is the diver's total
mechanical energy at that point?

Answers

Answer:5,880

Explanation:Lol if I get this wrong sorry I’m trying to do this also but if you add the 1,764 joules and 4,116 joules in total if you add them all up it’ll give you 5,880 hope that helps.

if a object has a mass of 20g and a volume of 3.5cm3 what is the density

Answers

Answer:

5.71  g/cm^3

Explanation:

Recall that density is defined as:

density = mass/volume

therefore in our casewe have:

density = 20 g / 3.5 cm^3 = 5.71  g/cm^3

The winter solstice, the shortest day of the year in the Northern hemisphere, occurs when the Earth is in which position?

Answers

Answer:

A

Explanation:

Which property of the wave makes it-(C)
the loudest? Choose the correct answer
Low amplitude o
High amplitude o
Low frequency O
High frequency O​

Answers

Answer:

low amplitude hope it will help you

the first one
explanation: i took the test so i know what the answer is :)

A 0.750-m-long pulse is travelling at a speed of 6.12 m/s in a spring. How long does it take the pulse to pass any point on the spring?

Answers

Answer:

0.122secs

Explanation:

Speed  = Distance/Time

Given

Speed = 6.12m/s

Distance = 0.750m

Substitute

Time - Distance//Speed

Time = 0.75/6.12

Time = 0.122secs

Hence it takes the pulse 0.122secs

What are similarities between homogeneous mixture and
heterogeneous mixture

Answers

Answer:

they both are the mixture of substance

Answer:

a homogeneous mixture is a uniform mixture whose components appear to be in a single state while a heterogeneous mixture is non uniform mixture whose components remain separate

Explanation:

example of homogeneous_ water and ethanol

heterogeneous_ water and chalk

The greenhouse effect is

Answers

The greenhouse effect is the process by which radiation from a planet's atmosphere warms the planet's surface to a temperature above what it would be without this atmosphere. Radiatively active gases in a planet's atmosphere radiate energy in all directions

1. What is the frame of reference for a plane moving at 500 km/h?
O A the clouds
O B the other planes in the sky
O C the ground
O d the passengers

Answers

Answer:

A: the clouds

Explanation: none

The answer is C, The ground

Explanation: Gradpoint

Some one plz help plzzzz

Answers

Answer:

8mph

Explanation:

speed=mph.

half an hourx2.

4 milesx2.

8 miles per hour.

That is the speed.

Hope this helps :D

If it takes you 10 seconds to move a chair 5 meters across the floor, using a force of 2 Newtons, how much power did you put out?

Answers

Answer:

1watt

Explanation:

Given parameters:

Time  = 10s

Distance  = 5m

Force  = 2N

Unknown:

Power  = ?

Solution:

Power is defined as the rate at which work is being done by a body.

  Power  = [tex]\frac{Work done }{time }[/tex]  

Work done  = Force x distance  = 2 x 5  = 10J

So;

    Power = [tex]\frac{10}{10}[/tex]   = 1watt

Answer:

1

Explanation:

1) Should I take vitamin D supplements in the winter?

Answers

Yes you need the light or just go outside to get it from the sun

will give brainliest :)Two objects having equal masses and velocities collide with each other and come to a rest. What type of a collision is this and why?

A. Elastic collision, because internal kinetic energy is conserved

B .Inelastic collision, because internal kinetic energy is not conserved

C. Elastic collision, because internal kinetic energy is not conserved

D. Inelastic collision, because internal kinetic energy is conserved

Answers

Answer:

B. lnelastic collision, because interest kinetic energy is not conserved .

I hope it helps ❤❤

The type of collision experienced by the two objects is inelastic collision, because internal kinetic energy is not conserved.

There are two types of collisions that two objects moving directly or opposite each may experience:

Elastic collision, andInelastic collision.

In elastic collision, both momentum and kinetic energy of the to objects are conserved.

In inelastic collision, only momentum is conserved while kinetic energy decreases after the collision.

Thus, we can conclude that the type of collision experienced by the two objects is inelastic collision, because internal kinetic energy is not conserved.

Learn more here:https://brainly.com/question/18432099

Relationship between Animal and land

Answers

Animals depend on land for shelter and food. These things come harder depending on the climate and the weather.

The micrometer (1 μm) is often called the micron. (a) How many microns make up 3.0 km? (b) How many centimeters equal 3.0 μm? (c) How many microns are in 3.0 yd?

Answers

Answer:

3 x 10⁻⁹km

3 x 10⁻⁴cm

2.73 x 10⁶μm

Explanation:

 A micron is a subunit of measurement usually for length dimensions.

                     1μm   = 1 x 10⁻⁶m

a. How many microns make up 3km;

         Now convert to meter first;

                 1000m  = 1km

           So, 3km will be made up of 3000m

So;

          1 x 10⁻⁶m    =     1μm  

         3000m  =   [tex]\frac{3000}{1 x 10^{-6} }[/tex]   = [tex]\frac{3 x 10^{3} }{ 1 x 10^{-6} }[/tex]   = 3 x 10⁻⁹km

b.  How many centimeters equal 3.0 μm?

            Since;

                        1μm   = 1 x 10⁻⁶m

                         3μm  = 3 x 1 x 10⁻⁶  = 3 x 10⁻⁶m

So;

            100cm  = 1m;

                  1m  = 100cm

             3 x 10⁻⁶m  = 3 x 10⁻⁶  x 10²   = 3 x 10⁻⁴cm

c. How many microns are in 3.0 yd?  

              1yd  = 0.91m

              3yd  = 3 x 0.91  = 2.73m

So;

            1 x 10⁻⁶m    =     1μm  

              2.73m will give [tex]\frac{2.73}{1 x 10^{-6} }[/tex]   = 2.73 x 10⁶μm

           

The net force on the propeller of a 3.2 kg model airplane is 7.0N forward. What is the acceleration of the airplane? If it starts from rest, what is the velocity of the plane after 2.5 seconds?

Answers

Answers:

Acceleration = 2.1875 m/s^2

Velocity after 2.5 seconds = 5.46875 m/s

=======================================================

Work Shown:

Part 1

The mass is m = 3.2 and the force is F = 7.0

Apply the formula F = ma to find the acceleration to be...

F = ma

7.0 = 3.2*a

7.0/3.2 = a

2.1875 = a

a = 2.1875

The acceleration is 2.1875 m/s^2

Every second, the velocity of the plane is increasing by 2.1875 m/s.

----------------------

Part 2

We have the following variables

vi = initial velocity = 0 m/s (since it starts from rest)vf = unknown final velocity (what we're trying to figure out)t = change in time = 2.5 secondsa = acceleration = 2.1875 m/s^2

Using one of the kinematics equations, we can then say,

vf = vi + a*t

vf = 0 + 2.1875*2.5

vf = 5.46875

After 2.5 seconds, the airplane is traveling 5.46875 m/s.

5.46875 m/s converts to roughly 12.2332 mph.

Question 1: Bicycle pump

In this problem, you will look at the pressure developed by the piston in a

bicycle pump

Air at atmospheric pressure (1.0 x 105 Pa) is compressed at constant

temperature in a bicycle pump so that its volume is reduced by a factor of

5.

What is the pressure of the air when compressed?

Answers

Answer: The pressure  of the air when compressed is [tex]5.0\times 10^5Pa[/tex]

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

[tex]P\propto \frac{1}{V}[/tex]     (At constant temperature and number of moles)

[tex]P_1V_1=P_2V_2[/tex]  

where,

[tex]P_1[/tex] = initial pressure of gas  = [tex]1.0\times 10^5Pa[/tex]

[tex]P_2[/tex] = final pressure of gas  =?

[tex]V_1[/tex] = initial volume of gas  = V

[tex]V_2[/tex] = final volume of gas  = [tex]\frac{V}{5}[/tex]

[tex]1.0\times 10^5\times V=P_2\times \frac{V}{5}[/tex]  

[tex]P_2=5.0\times 10^5Pa[/tex]

Therefore, the pressure  of the air when compressed is [tex]5.0\times 10^5Pa[/tex]

PLEASE HELP ASAP

a boy swings a bucket containing 2.4 kg of water in a vertical circle of radius 0.6 m at a constant rotational rate of 1 revolution every 1.4 seconds. Find the following quantities:


the angular speed of water in rad/sec


the tangential speed of the water in meters/sec

Answers

Answer:

a) ω = 4.49 rad/s

b) v = 2.69 m/s

Explanation:

a) The angular speed can be found by using the rotational rate:

[tex] \omega = \frac{1 rev}{1.4 s}*\frac{2\pi rad}{1 rev} = 4.49 rad/s [/tex]

Hence, the angular speed is 4.49 rad/s.

                           

b) The tangential speed is given by:

[tex] v = \omega*r = 4.49 rad/s*0.6 m = 2.69 m/s [/tex]

Therefore, the tangential speed is 2.69 m/s.

I hope it helps you!            

PLEASE ANSWER ASAP BEFORE MY TEACHER AND MY MOM KILLES ME PLEASE ASAP

The first person with the right answer gets to be a brainlest

In the attachment there is a density column where there is colour

Question: tell me why is the red at the bottom of the density column if it is the least dense

Answers

The red at the bottom is just the holder for the beaker. It’s not apart of the density.

That is not meant to be red, it‘s the bottom of the beaker. The star is at the very bottom of the beaker. it’s just the base of the beaker.

Which is the BEST scientific explanation for temperature? *
A)how hot something is
B)how much kinetic energy an object has.
C)how far away molecules are from each other.
D)the average kinetic energy of the molecules.

Answers

Answer:

B

Explanation:

bc all the other answers seem way to simple and boring

explain why chlorinated swimming pool water would be a homogeneous mixture ​

Answers

Answer:

A chlorinated swimming pool would be a homogenous mixture because chlorine and water diffuse through each other and cannot be separated out as distinct materials. It is impossible to separate the chlorine from water as they homogenously mix and cannot be separated into their pure forms.

Explanation:

Plzzzzz help me plzzz

Answers

8 miles per hour

(extra space)

How long does it take for an airplane to change its velocity from 140 m/s to 180 m/s if its
acceleration is 4.0 m/s?? How far does it travel during this time? (10. s, 1600 m)
Proof please

Answers

Answer:

Explanation:

a = 4ms⁻²,  Vf = 180 m/s  &  Vi = 140m/s

a = [tex]\frac{Vf-Vi}{t}[/tex]

4 = [tex]\frac{180-140}{t}[/tex]

t = 40/4

t = 10sec

To Measure Distance Use third Equation of Motion:

2aS = Vf²-Vi²

S = [tex]\frac{180*180 - 140*140}{2(4)}[/tex]

S = 12800/8 = 1600m

What happens when electromagnetic waves cause a disturbance in electric
and magnetic fields?
A. They cancel vibrations in electric and magnetic fields.
B. The fields line up parallel to each other.
C. The electromagnetic waves transfer energy.
D. Any particles in the fields move with them.

Answers

Answer:

c

Explanation:

just answered it

Answer:

C. The electromagnetic waves transfer energy.

Explanation:

1.
Examples of pure substances are elements and _________.
mixtures
compounds
2.
Iron and aluminum are examples of _____________.
pure substances
compounds
3.
A ____________ is a physical combination of things that can be separated.
mixture
compound

Answers

Answer:

compounds

pure substances

mixture

Answer:

1 . compound

2. pure substances

3. compound

Kate must do 39 days of training each year as a naval reservist. How will she serve that time?
A.
one month plus one week
B.
three weeks in the summer plus two in the winter
C.
one weekend per month plus two weeks
D.
two weeks in the spring plus three in the fall

Answers

Answer:

c

Explanation:

i did the test

a particle is moving with shm of period 8.0s and amplitude 5.0cm. find (a) the speed of particle when it is 3.0m from the centre of its motion​(b) the maximium speed (c) the maximium acceleration

Answers

Answer:

a) [tex]speed=\pi cm/s[/tex]

b) [tex]v_{max}=\frac{5\pi}{4} cm/s[/tex]

c) [tex]a_{max}=\frac{5\pi^{2}}{16} cm/s^{2}[/tex]

Explanation:

The very first thing we must do in order to solve this problem is to find an equation for the simple harmonic motion of the given particle. Simple harmonic motion can be modeled with the following formula:

[tex]y=Asin(\omega t)[/tex]

where:

A=amplitude

[tex]\omega[/tex]= angular frequency

t=time

we know the amplitude is:

A=5.0cm

and the angular frequency can be found by using the following formula:

[tex]\omega=\frac{2\pi}{T}[/tex]

so our angular frequency is:

[tex]\omega=\frac{2\pi}{8s}[/tex]

[tex]\omega=\frac{\pi}{4}[/tex]

so now we can build our equation:

[tex]y=5sin(\frac{\pi}{4} t)[/tex]

we need to find the speed of the particle when it is 3m from the centre of its motion, so we need to find the time t when this will happen. We can use the equation we just found to get this value:

[tex]y=5sin(\frac{\pi}{4} t)[/tex]

[tex]3=5sin(\frac{\pi}{4} t)[/tex]

so we solve for t:

[tex]sin(\frac{\pi}{4} t)=\frac{3}{5}[/tex]

[tex]\frac{\pi}{4} t=sin^{-1}(\frac{3}{5})[/tex]

[tex]t=\frac{4}{\pi}sin^{-1}(\frac{3}{5})[/tex]

you can directly use this expression as the time or its decimal representation:

t=0.81933

since we need to find the speed of the particle at that time, we will need to get the derivative of the equation that represents the particle's position, so we get:

[tex]y=5sin(\frac{\pi}{4} t)[/tex]

[tex]y'=5cos(\frac{\pi}{4} t)*\frac{\pi}{4}[/tex]

which simplifies to:

[tex]y' =\frac{5\pi}{4}cos(\frac{\pi}{4} t)[/tex]

and we can now substitute the t-value we found previously, so we get:

[tex]y'=\frac{5\pi}{4}cos(\frac{\pi}{4} (0.81933))[/tex]

[tex]y'=\pi[/tex]

so its velocity at that point is [tex]\pi[/tex] cm/s

b) In order to find the maximum velocity we just need to take a look at the velocity equation we just found:

[tex]y' =\frac{5\pi}{4}cos(\frac{\pi}{4} t)[/tex]

its amplitude will always give us the maximum velocity of the particle, so in this case the amplitude is:

[tex]A=\frac{5\pi}{4}[/tex]

so:

[tex]v_{max}=\frac{5\pi}{4} cm/s[/tex]

c) we can use a similar procedure to find the maximum acceleration of the particle, we just need to find the derivative of the velocity equation and determine its amplitude. So we get:

[tex]y'= \frac{5\pi}{4}cos(\frac{\pi}{4} t)[/tex]

We can use the chain rule again to find this derivative so we get:

[tex]y" =-\frac{5\pi}{4}sin(\frac{\pi}{4} t)*(\frac{pi}{4})[/tex]

so when simplified we get:

[tex]y"=-\frac{5\pi^{2}}{16}sin(\frac{\pi}{4} t)[/tex]

its amplitude is:

[tex]A=\frac{5\pi^{2}}{16}[/tex]

so its maximum acceleration is:

[tex]a_{max}=\frac{5\pi^{2}}{16} cm/s^{2}[/tex]

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