You wish to cool a 1.83 kg block of tin initially at 88.0°C to a temperature of 57.0°C by placing it in a container of kerosene initially at 24.0°C. Determine the volume (in L) of the liquid needed in order to accomplish this task without boiling. The density and specific heat of kerosene are respectively 820 kg/m3 and 2,010 J/(kg · °C), and the specific heat of tin is 218 J/(kg · °C).

Answers

Answer 1

Answer:

0.273 liters are needed to accomplish this task without boiling.

Explanation:

The minimum boiling point of kerosene is [tex]150\,^{\circ}C[/tex]. According to this question, we need to determine the minimum volume of liquid such that heat received is entirely sensible, that is, with no phase change.

If we consider a steady state process and that energy interactions with surrounding are negligible, then we get the following formula by the Principle of Energy Conservation:

[tex]\rho_{k}\cdot V_{k}\cdot c_{k}\cdot (T-T_{k,o}) = m_{t}\cdot c_{t}\cdot (T_{t,o}-T)[/tex] (1)

Where:

[tex]\rho_{k}[/tex] - Density of kerosene, measured in kilograms per cubic meter.

[tex]V_{k}[/tex] - Volume of kerosene, measured in cubic meters.

[tex]c_{k}[/tex], [tex]c_{t}[/tex] - Specific heats of the kerosene and tin, measured in joule per kilogram-Celsius.

[tex]T_{k,o}[/tex], [tex]T_{t,o}[/tex] - Initial temperatures of kerosene and tin, measured in degrees Celsius.

[tex]T[/tex] - Final temperatures of the kerosene-tin system, measured in degrees Celsius.

Please notice that the block of tin is cooled at the expense of the temperature of the kerosene until thermal equilibrium is reached.

From (1), we clear the volume of kerosene:

[tex]V_{k} = \frac{m_{t}\cdot c_{t}\cdot (T_{t,o}-T)}{\rho_{k}\cdot c_{k}\cdot (T-T_{k,o})}[/tex]

If we know that [tex]m_{t} = 1.83\,kg[/tex], [tex]c_{t} = 218\,\frac{J}{kg\cdot ^{\circ}C}[/tex], [tex]T_{t,o} = 88\,^{\circ}C[/tex], [tex]T_{k,o} = 24.0\,^{\circ}C[/tex], [tex]T = 57\,^{\circ}C[/tex], [tex]c_{k} = 2010\,\frac{J}{kg\cdot ^{\circ}C}[/tex] and [tex]\rho_{k} = 820\,\frac{kg}{m^{3}}[/tex], then the volume of the liquid needed to accomplish this task without boiling is:

[tex]V_{k} = \frac{(1.83\,kg)\cdot \left(218\,\frac{J}{kg\cdot ^{\circ}C} \right)\cdot (88\,^{\circ}C-57\,^{\circ}C)}{\left(820\,\frac{kg}{m^{3}} \right)\cdot \left(2010\,\frac{J}{kg\cdot ^{\circ}C} \right)\cdot (57\,^{\circ}C-24\,^{\circ}C)}[/tex]

[tex]V_{k} = 2.273\times 10^{-4}\,m^{3}[/tex]

[tex]V_{k} = 0.273\,L[/tex]

0.273 liters are needed to accomplish this task without boiling.


Related Questions

A box slides down a ramp inclined at 24◦ to the horizontal with an acceleration of 1.7 m/s 2 . The acceleration of gravity is 9.8 m/s 2 . Determine the coefficient of kinetic friction between the box and the ramp.

Answers

Answer:

0.445

Explanation:

In friction, the coefficient of friction formula is expressed as;

[tex]\mu = \frac{F_f}{R}[/tex]

Ff is the frictional force = Wsinθ

R is the reaction = Wcosθ

Substitute inti the equation;

[tex]\mu = \frac{Wsin \theta}{W cos\theta} \\\mu = \frac{sin \theta}{cos\theta} \\\mu = tan \theta[/tex]

Given

θ = 24°

[tex]\mu = tan 24^0\\\mu = 0.445\\[/tex]

Hence the coefficient of kinetic friction between the box and the ramp is 0.445

Tsunami waves are caused by earthquakes in the ocean floor. As the waves approach the shore, they usually grow in height. When this occurs, which aspect of the wave is changing?

A. amplitude
B. direction
C. frequency
D. speed
E. wavelength

Answers

Answer:

LETTER A. AMPLITUDE

:)

Answer:

A

Explanation:

HELP PLS i need this

Answers

Answer:

here you have to find the range

Explanation:

[tex]range=\frac{u^{2}sin2\theta }{g}[/tex]

[tex]\frac{4.22^{2} * sin2(63) }{10}[/tex]

1.4431m

The moon is significantly smaller than the sun. Why is the moon able to fully block the sun from our view on
Earth?

Answers

Answer:

The moon is 400x smaller but it's also 400x closer so it looks the same size even though it's not

Explanation:

To solve this we must be knowing each and every concept related to moon. Therefore, the moon is able to fully block the sun from our view on earth as  it is 400 times.

What is moon?

Any celestial object that revolves around a planet, such as the eight main planets, dwarf planets, or minor planets, is referred to as a moon. In order to distinguish the moon from other celestial bodies that circle other bodies, the term "natural satellite" may also be used to describe the moon.

The Galilean moons orbiting Jupiter, called after astronomer as well as discoverer Galileo Galilei, were the first moons found outside of the moon of Earth. The moon is significantly smaller than the sun. The moon is able to fully block the sun from our view on earth as the moon appears the same size despite the fact that it's 400 times smaller because it is 400 times closer and hence smaller.

Therefore, the moon is able to fully block the sun from our view on earth as  it is 400 times.

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How do labels protect us at the grocery store? Will gove Brainliest to RIGHT answer :)

Answers

to guide us on where stuff are or what the stuff are called and used for

could anyone solve this...its kinda urgent.​

Answers

Answer:

1) A = lost volts, B = lower, C = a small pressure, D, = Newtons kg, E = Modulation.

2) A = True(?), B = true, C = True, D = True, E = not sure sorry.

Explanation:

in which unit is atmospheric pressure measured?​

Answers

Answer:

Originally Answered: What is the unit of measurement of pressure in the atmosphere? The SI derived unit of pressure is the pascal , abbreviated Pa. This is a pressure exerted by a force of 1 newton acting over an area of 1m².

Explanation:

Hope this helps you a lot my boo!

Atmospheric pressure is expressed in several different systems of units: millimetres (or inches) of mercury, pounds per square inch (psi), dynes per square centimetre, millibars (mb), standard atmospheres, or kilopascals.

do all objects have inertia

a) true
b) false

Answers

Answer:

The answer is A. Which is true

When you're super tired and you lose energy, what energy are you actually losing?
I said Physics class, but it's really for Science class.

Answers

Answer:

it is chemical energy

Explanation:

that is the energy used by our body, so it is the one that we will loose. and the energy that we gain is also chemical energy

A weight lifter holds a 800 newton barbell over his head at a height of 6 meters. How much work does the weight lifter do on the barbell?
A. 4800 J
B. 0 J
C. 4800 W
D. 0 W

Answers

Answer:

B. o J

hope it helps......

Answer:

A. 4800J

Explanation:

use the formula of work u also can get answer

Define pressure in short

Answers

Answer:

hope it helps......

Explanation:

Pressure, in the physical sciences, the perpendicular force per unit area, or the stress at a point within a confined fluid.

Why is thermal energy from the Sun transferred to Earth through electromagnetic waves instead of any other type of thermal energy transfer?
Electromagnetic waves can carry energy through matter.
Electromagnetic waves can travel through empty space.
Electromagnetic waves can move through gases faster than other types of energy transfer.
Electromagnetic waves can move more energy than other types of energy transfer.

Answers

Answer:

Electromagnetic waves can travel through empty space.

Explanation:

Electromagnetic waves are defined as the waves that are created due to the vibrations between a magnetic field and an electric field.

Earth atmosphere is made up of several gases and spaces between them. Thermal energy from the sun require to pass through space by electromagnetic radiation. Electromagnetic waves can travel through empty space and that is why other type of waves are unable to transfer thermal energy.

Hence, the correct answer is "Electromagnetic waves can travel through empty space".

Answer:

Electromagnetic waves can travel through empty space.B.

Explanation:

Calculate the magnitude of the gravitational force between Goku with a mass of 62 kg and King Kai’s planet with a mass of 1.458x1015 kg if the distance between their centers of mass is 31 m.

Answers

Answer:

6227.866 N

Explanation:

F = G . m(goku) . m(planet) / d²

F = 6.674 x 10-¹¹ x 62 x 1.458 . 10¹⁵ / 31²

F = 6227.866 N

A square tile having 50cm side is made to withstand a pressure of 200N/m^2 find out if a force of 45N can be applied on the tile

Answers

Explanation:

Given that,

Side of a square tile, a = 50 cm = 0.5 m

Pressure withstand by it, P = 200 Pa

We know that,

Pressure = force/area

[tex]F=P\times A\\\\=200\times (0.5)^2\\\\=50\ N[/tex]

It is the force that tile withstand is 50 N. The force applied upon the time is 45 N. As 45 N can be applied on the tile  because 45 N < 50 N.

find the ratio of the lengths of the two mathematical pendulums, if the ratio of periods is 1.5​

Answers

Answer:

The ratio of lengths of the two mathematical pendulums is 9:4.

Explanation:

It is given that,

The ratio of periods of two pendulums is 1.5

Let the lengths be L₁ and L₂.

The time period of a simple pendulum is given by :

[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]

or

[tex]T^2=4\pi^2\dfrac{l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}[/tex]

Where

l is length of the pendulum

[tex]l\propto T^2[/tex]

or

[tex]\dfrac{l_1}{l_2}=(\dfrac{T_1}{T_2})^2[/tex] ....(1)

ATQ,

[tex]\dfrac{T_1}{T_2}=1.5[/tex]

Put in equation (1)

[tex]\dfrac{l_1}{l_2}=(1.5)^2\\\\=\dfrac{9}{4}[/tex]

So, the ratio of lengths of the two mathematical pendulums is 9:4.

You get a job delivering water. You calculate how much work is done picking up each 20 L bottle of
water and raising it vertically 1 m. For every 100 bottles you deliver, you will use Select.... (g =
9.8 m/s2)
-196J
-2,000 J
-19,600 J
-196,000J

Answers

Answer:

The work done by picking up 100 20-L bottles and raising it vertically 1 meter is 19614 joules.

Explanation:

By the Work-Energy Theorem, the work needed to raise vertically 100 bottles of water is equal to the gravitational potential energy, units for work and energy are in joules:

[tex]\Delta W = \Delta U_{g}[/tex] (1)

Where:

[tex]\Delta W[/tex] - Work.

[tex]\Delta U_{g}[/tex] - Gravitational potential energy.

The work is equal to the following formula:

[tex]\Delta W = n\cdot \rho \cdot V \cdot g \cdot \Delta h[/tex] (2)

Where:

[tex]n[/tex] - Number of bottles, dimensionless.

[tex]\rho[/tex] - Density of water, measured in kilograms per cubic meter.

[tex]V[/tex] - Volume, measured in cubic meters.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]\Delta h[/tex] - Vertical displacement, measured in meters.

If we know that [tex]n = 100[/tex], [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]V = 0.02\,m^{3}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]\Delta h = 1\,m[/tex], then the work done is:

[tex]\Delta W = (100)\cdot \left(1000\,\frac{kg}{m^{3}} \right)\cdot (0.02\,m^{3})\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (1\,m)[/tex]

[tex]\Delta W = 19614\,J[/tex]

The work done by picking up 100 20-L bottles and raising it vertically 1 meter is 19614 joules.

Atoms have no electric charge because they

A. Have an equal number of charged and non charged particles.

B. Have neutrons in their nuclei.

C. Have an equal number of electrons and protons

D. Have an equal number of neutrons and protons

Answers

Answer choice c is the correct choice

Atoms have no electric charge because they have an equal number of electrons and protons.

Explanation:

Atom is the smallest unit of matter.It is comprised of three subatomic particles: protons, electrons, and neutrons.Electrons are found outside the nucleus of an atom and are negatively charged.Protons are found inside the nucleus of an atom and are positively charged.Neutrons are found inside the nucleus of an atom and have no charge.They are electrically neutral because they have an equal number of protons and electrons.

So from this, we can conclude that atoms have no electric charge because they have an equal number of electrons and protons. Option C is correct.

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A car drives 16 miles south and then 12 miles west. What is the magnitude of the car's displacement?
04 miles
16 miles
20 miles
28 miles

Answers

Answer:

The answer is 20 miles

Explanation:

You would use a^2+b^2=c^2 to get the displacement.

So 16^2+12^2=c^2

400=c^2

c=20

Discribe the law of reflection

Answers

Answer:

the angle of reflection equals the angle of incidence—θr = θi. The angles are measured relative to the perpendicular to the surface at the point where the ray strikes the surface.

Explanation:

A microscope uses a mirror to reflect light to the specimen under the microscope. ... An astronomical reflecting telescope uses a large parabolic mirror to gather dim light from distant stars. A plane mirror is used to reflect the image to the eyepiece.

Please answer faast!!!

Answers

Answer:

Any medium or material of high refractive density e.g Water which refracts the light rays 1&2 away from their normal

Ifa cup of coffee is at 90°C and a person with a body temperature of 36°C touches it, how will heat flow between
them?
O from the hand to the cup
O from the cup to the hand
O from the cup to the surrounding air
O from the hand to surrounding air

Answers

from the cup to the hand
It will flow from cup to hand



A. about 1.8
B. about 9.1
C. about 18.1
D. about 28.3
Please help me

Answers

Answer:(b)

Explanation:

Given

GK=16 units

KH=y units

using Sine rule

[tex]\frac{\sin G}{y}=\frac{\sin H}{16}\\\frac{\sin 30^{\circ}}{y}=\frac{\sin 62^{\circ}}{16}\\y=16\times \frac{\sin 30^{\circ}}{\sin 62^{\circ}}\\\\y=16\times \frac{0.5}{0.883}\\y=9.06\ \approx \ 9.1\ units[/tex]

State the meaning of specific heat capacity of copper is 380 J/kg°C.​

Answers

Answer:

Specific heat capacity means that in order to raise copper by 1C per kg, it needs 380J of heat energy.

Boo help me please!!!!!!!​

Answers

it’s definitely not radiation!

Answer:

??

Explanation:

How much power does a machine have that does 15204 J of work in 40 seconds?

Answers

Explanation:

since P=W/t

P=15204/40

P=380.1 Watt

Two tougboats are toeing a ship each exerts a force of 6000N and the angle between the two ropes is 60 calculate the resultant force on the ship

Answers

Answer:

10392.30N

Explanation:

We proceed by computing the individual force exerted by the boats

For the first boat

The angle is 30 degree to the vertical

Hence

Force = F cos θ

F=6000 cos 30

F=6000*0.866

F=5196.15 N

Since the boats are two and also at the same angle and also exerting the same force

The Net force = 2*5196.15

Net force=10392.30N

Which of the following will change the strength of a magnetic field?
1.increase speed
2.change the amount of electric current
3.remove atoms
4.it is always the same

Answers

2. change the amount of electric current

A student who weighs 500 N on Earth travels to a planet whose mass and radius are twice that of Earth. His weight on that planet is about
A. 1000 N
B. 500 / V2 N
C.500 N
D. 250 N​

Answers

Answer:

B

Explanation:

Weight of the student on that planet is about 250 N. option (D) is correct.

What is Newton’s universal law of gravitation?

Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.

Let the mass of the student be m.

Mass of the Earth = M.

Radius of the Earth = R,

So, gravitational force applied on the student on Earth surface :

GMm/R² = 500 N.

Again,

mass of the planet = 2M

Radius of the planet = 2R.

So, gravitational force applied on the student on the surface of the planet  = G(2M)m/(2R)²

= 1/2 {GMm/R²

= 1/2 × 500 N

= 250 N.

Hence, His weight on that planet is about 250 N. option (D) is correct.

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What are the properties of a concave mirror

Answers

Answer:

Concave mirrors produce real and virtual images.

Explanation:

(Concave mirrors can produce both real and virtual images)

They can be upright (if virtual) or inverted (if real)

They can be behind the mirror (if virtual) or in front of the mirror (if real)

T hey can also be enlarged, reduced, or the same size as object.

Answer:

Some properties of the given mirror are summarized in the below portion.

Explanation:

Unless the material is dropped between some of the focus as well as the mirror:

Throughout that particular instance, the ground image component is immersive but instead larger than those of the attribute and it has a similar orientation as the attribute.

Unless the object is located between some of the center point of that same mirror as well as the focus area:

Throughout this particular instance, the mirror version is genuine and larger than that of the attribute. In additament, the image formation was therefore reversed.

give the relation of resistance of wire with the length and thickness.​

Answers

Answer:

The answer to this question is given below in the explanation section.

Explanation:

Give the relation of resistance of wire with the length and thickness:

Resistance:

There is a resistance to the flow of an electric current through most conductors.

The length of wire increases

The thickness of wire decreases

The resistance of a long wire is greater then the resistance of a short wire because electrons collide with more ions as they pass through.

The relationship between resistance and wire length is proportional. The resistance of thin wire is greater then the resistance of a thick wire because a thin wire has fewer electrons to  carry the current.The relationship between resistance and the area of the cross section of wire is inversely proportional.

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