(a) The work done by the ideal gas during the isothermal exapnsion process is -3.556 J.
(b) The heat added to the gas during this process is 3.556 J.
Work done by the ideal gas
The work done by an ideal gas in isothermal expansion is change in pressure and volume of the gas. The change in the internal energy of the gas is zero.
The work done by the given ideal gas is calculated as follows;
W = ΔPV
where;
ΔP is change in pressure of the gasΔV is change in volume of the gasW = (P₂ - P₁)(V₂ - V₁)
W = (7kPa - 9kPa)(8L - 6.222L)
W = -3.556 kPa.L
1 kPa.L = 1 J
W = -3.556 J
Heat added to the processΔU = q + w
where;
ΔU is change in internal energy = 00 = q + (-3.556)
q = 3.556 J
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A transformer has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil. If the input voltage is 2,400 V, what is the output voltage? - this is for my physical science class
the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V
What is a transformer?A transformer is an electrical device that transfer electric energy from one circuit to another.
To calculate the output voltage of the transformer, we use the formula below.
Formula:
V/V' = N/N'........... Equation 1Where:
V = Primary/input VoltageV' = Secondary/output voltageN = Primary turnsN' = Secondary turnsMake V' the subject of the equation
V' = VN'/N........... Equation 2From the question,
Given:
V = 2400 VN' = 50 turnsN = 1000 turns.Substitute these values into equation 2
V' = (2400×50)/1000V' = 120 VHence, the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V.
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Ers), and
1. A paintball with a mass of 0. 15 kg is fired from a paintball gun that has a mass of 5. 5 kg. The paintball leaves the
gun with a velocity of 45 m/s [N] having accelerated for only 0. 10 s. Calculate the acceleration and the final
velocity of the paintball gun.
Please help
Answer:
-13.5 m/s^2
-1.35m/s
Explanation
First, find the momentum of the paintball by using the formula [tex]p=mv[/tex].
[tex]p=0.15*45[/tex]
[tex]p = 6.75[/tex]
The next step would be to find the change of momentum of the gun. Since the gun was at rest it had a momentum of 0. Momentum acts in different directions equally, therefore we can set up the equation for the acceleration:
FΔt=Δp
Where F is force, Δt is the change of time and Δp is the change of momentum.
Since we solve for acceleration, we can convert F to ma to get:
maΔt=Δp
Substitute values:
5a*(0.1-0)=-6.75
5a=-67.5
a=-13.5
Our a is -13.5m/s^2, it's negative since the direction it's acting on is opposite of the paintball.
Now we can find velocity (and double-check our work!).
The first way to solve for velocity is:
[tex]V=Vi+at[/tex]
Where V is final velocity, Vi is initial, a is acceleration and t is time.
substitute values:
[tex]V=0-13.5*0.1\\V=-1.35m/s[/tex]
If we are correct, using the formula p=mv, we should get the same result (remember, our momentum is negative).
[tex]p=mv\\-6.75=5v\\-1.35m/s=v[/tex]
Hope this helps!
Question #14:
An engine using 1 mol of an ideal gas initially at 18.5 L and 402 K performs a cycle
consisting of four steps:
1) an isothermal expansion at 402 K from 18.5 L to 41.2 L
2) cooling at constant volume to 273 K
3) an isothermal compression to its original volume of 18.5 L
4) heating at constant volume to its original temperature of 402 K
Find its efficiency. Assume that the heat capacity is 21 J/K and the universal gas constant is 0.08206 L · atm/mol/K = 8.314 J/mol/K.
The efficiency of the engine through the four steps cycle is 83.4%.
What is the efficiency of a machine?The efficiency of a machine is the ratio of useful work done by the machine and the work done on the machine expressed as a percentage.
The efficiency of the engine is given by:
[tex]ɛ=\frac {W} {Q}[/tex]
where;
W is the work done in the four steps,Q is the energy inputSince there at four steps in a cycle:
[tex]ɛ=\frac {W_1+ W_2+W_3+W_4} {Q_1+Q_2+Q_3+Q_4}[/tex]
The work done in the first step (isothermal expansion) is given by:
[tex]W_1=nRT_1\ln{\frac {V_2} { V_1}}[/tex]
where:
n= 1 mole, T1 = 402 K, V2 = 41.2 L, V1 = 18.5 L
Substituting the values:
[tex]W_1 = 1 × 8.314 × 402 \times ln{\frac {41.2} {18.5}} = 2676.01 J \\ [/tex]
Steps 2 and 4 are constant volume processes, therefore;
[tex]W_2=W_4=0[/tex]
The work done in the third step (isothermal expansion) is given by:
[tex]W_3=nRT_3\ln{\frac {V_4} { V_3}} [/tex]
where;
n = 1 mol, T3 = 273 K, V4 = 41.2 L, V3 = 18.5 L
Substituting the values:
[tex]W_3 = 1 × 8.314 × 273 \times ln{\frac {41.2} {18.5}} = 1817.29 J \\ [/tex]
[tex]W_3 = 1 × 8.314 × 273 \times ln{\frac {41.2} {18.5}} = 1817.29 J \\ [/tex]Heat enters the system only during steps (1) and (4).
The internal energy of the gas increases in step 4 but no work is done, while the internal energy is constant change in step 1 but work is done by the gas.
Thus;
[tex]Q_2=Q_3=0[/tex]
The heat that enters the system during the isothermal expansion is given by:
[tex]Q_1=W_1[/tex]
The heat that enters the system on step 4 at constant volume is given by:
[tex]Q_4=C_V(T_4-T_3)[/tex]
where:
Cv =21 J/K, T3 = 273 K, T4 = 402 K
Substituting the values:
[tex]Q_4= 21 × (402 - 273) = 2709 \: J[/tex]
Solving for efficiency, ɛ:
[tex]ɛ=\frac {2676.01+ 0+0+1817.29} {2676.01+0+0+2709} = 83.4\%[/tex]
Therefore, the efficiency of the engine is 83.4%.
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If you see fog, what can you know about the temperature and dewpoint near the ground? (Just a simple-ish, short answer please.)
Answer:The difference between air temperature and dew point is less than 4.5 degrees Fahrenheit when fog can form.
Explanation:This can occur because of added moisture or falling air temperatures. The difference between air temperature and dew point is less than 4.5 degrees Fahrenheit when fog forms.
Infrared radiation is part of a 'family' of waves that also includes visible light and radio waves. What name is given to this 'family'? Give the full name, not the abbreviation.
Infrared radiation is a part of electromagnetic waves,which also include the visible light and radio waves.
What are electromagnetic waves?The electromagnetic radiation consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.
The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.
In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The position of an electromagnetic wave in an electromagnetic spectrum is characterized by it's frequency or wavelength.They are emitted by electrically charged particles which undergo acceleration and subsequently interact with other charged particles.
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a lamp for which converts 70 W out of every 20 W into thermal energy the lamp is being used for the sole purpose of the lighting room.
calculate the efficiency
Answer:
71 % eff
Explanation:
if 50 out of 70 watt goes to making light
50/70 = 71 %
Which of the following predictions is likely to be correct?
A
If it is August, shadows will soon be longer.
B
If it is March, shadows will soon be longer.
C
If it is September, shadows will soon be shorter.
D
No matter what time of year it is, shadows will remain the same.
Answer:
D
No matter what time of year it is, shadows will remain the same.
Explanation:
Answer:
A
Explanation:
Late in the year the sun the earth is tilted away from the sun that means the sunlight is not coming in as directly. So, shadows during are longer.
A 150- branch in a circuit must be reduced to 93 . A resistor will be added to this branch of the circuit to make this change. What value of resistance should be used and how must the resistor be connected
The value of resistance that should be used is 244.74 Ohms and the resistor must be connected in parallel.
Given the following data:
Initial resistance, R₁ = 150 Ohms.Final resistance, R₂ = 93 Ohms.What is a parallel circuit?A parallel circuit can be defined as an electrical circuit with the same potential difference (voltage) across its terminals.
In order to determine the magnitude of a resistor that should be added to this branch of the circuit, the electrical circuit would be connected as a parallel circuit.
Next, the total effective resistance of this electrical circuit is given by:
RT = (R₁ × R₂)/(R₁ - R₂)
RT = (150 × 93)/(150 - 93)
RT = 13950/57
RT = 244.74 Ohms.
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What evidence supports the conclusion that a chemical reaction has occurred?
Answer:
Precipitation formed
Temperature change
fizzing and hissing
bubbles
change in state
Explanation:
Answer:
Precipitation formed
Temperature change
fizzing and hissing
bubbles
change in state
Explanation:
Which types of electromagnetic waves have longer wavelengths than the waves that make up visible light? select three options. radio waves gamma rays microwaves infrared light ultraviolet light x-rays
Answer:
infrared light have longe rwave length
The three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.
What is an electromagnetic wave?
EM waves are another name for electromagnetic waves. Electromagnetic radiations are made up of electromagnetic waves created when an electric field collides with a magnetic field.
Electromagnetic waves may alternatively be defined as the combination of oscillating electric and magnetic fields. Maxwell's equations are solutions to electromagnetic waves.
Of all electromagnetic waves, radio waves have the longest wavelength.
Hence the three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.
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How well do you think a model can demonstrate the principles of stratigraphy?
Stratigraphy is a discipline aimed at identifying layers of sedimentary and/or volcanic rocks, which is mainly based on the principle of superposition.
What is stratigraphy?
Stratigraphy refers to the science based on the identification of different layers in sedimentary and/or volcanic rocks.
Stratigraphy as a discipline is mainly cemented on the principle of superposition, which indicates that older layers of sediment are located on the bottom.
Stratigraphy allows us to understand the geological past of a region, which is important in different disciplines such as biogeography.
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A lever where the input force is between the fulcrum and the output force (a broom) is what type of lever?
Answer:
first class lever
in a first class lever fulcrum is b/w input and output force
PLS HELP THIS IS DUE TOMORROW!!!
A real-life example of something that uses energy and all of the energy
Answer:
A ball rolling down a hill
Explanation:
Requires an input of gravitional potential energy
outputs rotational kinetic energy and translational kinetic energy
Imagine that our Sun were magically and suddenly replaced by a black hole of the same mass (1 solar mass). How would Earth's orbit change
There is no effect on earth's orbit due to similar force of gravity of black hole.
How would Earth's orbit change?If our Sun was replaced with a black hole having the same mass, Earth's orbit will not changed because of the same force of gravitation of balck hole on earth. Due to this replacement, Earth's temperature will change because balck hole is not too hot like sun.
So we can conclude that there is no effect on earth's orbit due to similar force of gravity of black hole.
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Answer 1-10 for branly all steps
The acceleration, a of the bodies given is the change in velocity with time and is given as follows:
a = 1.2 m/sa = 25 km/hra = 35.3 cm/mina = 7.125 km/mina = 1.69 m/sa = 108.1 m/hra = -1.0 cm/sa = 7.89 km/hra = 1.17 ft/sa = 3.13 km/hrWhat is acceleration?Acceleration is the rate of changeof velocity of an object with time.
Acceleration, a = change in velocity/time takenFor the given questions, the acceleration are as follow:
a = (40 - 10)/25 = 1.2 m/sa = (75 - 30)/1.8 = 25 km/hra = (90 - 60)/0.85 = 35.3 cm/mina = (77 - 20)/8 = 7.125 km/mina = (37 - 15)/13 = 1.69 m/sa = (40 - 0)/0.37 = 108.1 m/hra = (13 - 25)/12 = -1.0 cm/sa = (48 - 18)/3.8 = 7.89 km/hra = (52 - 38)/12 = 1.17 ft/sa = (43 - 17)/8.3 = 3.13 km/hrTherefore, the acceleration of a body is either positive or negative.
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A golf club exerts an average force of 500N on a 0.1kg golf ball and the contact time is 0.01s.
What is the change in velocity of the golf ball?
Answer:
[tex]50\; {\rm m\cdot s^{-1}}[/tex], assuming that the force on the golf ball was constant.
Explanation:
Assume that the force the golf club exerted on the golf ball a constant force of magnitude [tex]F[/tex]. Let [tex]\Delta t[/tex] denote the duration the club was in contact with the golf ball. The impulse of this force would be:
[tex]J = F\, \Delta t[/tex].
Let [tex]\Delta p[/tex] denote the change in the momentum of this golf ball. By the impulse-momentum theorem, this [tex]\Delta p\![/tex] would be equal to the impulse on the golf ball.
[tex]\Delta p = J = F\, \Delta t[/tex].
The momentum [tex]p[/tex] of this golf ball is the scalar product between the mass [tex]m[/tex] of this golf ball and the velocity [tex]v[/tex] of this golf ball. The mass of this golf ball stays the same. Thus, when the momentum of this golf ball changes by [tex]\Delta p[/tex], the velocity of this golf ball would change by [tex](\Delta p) / (m)[/tex].
The change in the velocity of this golf ball would thus be:
[tex]\begin{aligned}\Delta v &= \frac{\Delta p}{m} & \genfrac{}{}{0em}{}{(\text{change in momentum})}{}\\ &= \frac{J}{m} & \genfrac{}{}{0em}{}{(\text{impulse on the golf ball})}{}\\ &= \frac{F\, \Delta t}{m} \\ &= \frac{500\; {\rm N} \times 0.01\; {\rm s}}{0.1\; {\rm kg}} \\ &\approx 50\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
(Note that [tex]1\; {\rm N} = 1\; {\rm kg \cdot m^{2}\cdot s^{-2}}[/tex].)
An astronaut lands on another planet and wishes to determine the acceleration due to gravity.the astronaut measure a period of 0.5m pendulum as being 3.2 seconds what is the acceleration due to gravity
Answer:
1.927 m/s^2
Explanation:
period = 2 pi sqrt ( l/g)
3.2 = 2 pi sqrt (.5/g) =1.927 m/s^2
I need help ASAP! All help is appreciated:)
Waldo gets stopped by the police, and the police officer tells Waldo that she caught him on radar doing 50 miles per hour in a 40 miles per hour zone. Waldo responds, "No way! I was traveling 50 miles per hour. I sat at home for 1 hour and then drove for 1 hour before you stopped me. I traveled 50 miles total in that second hour. So, my speed was 25 miles per hour. That's well under the speed limit." Waldo is wrong, per speeding laws, and does receive a speeding ticket. Explain how Waldo came up with a speed of 25 miles per hour.
All of the following are dimensions of progressive overload except multiple choice specificity. time. intensity. frequency.
Progressive overload is the gradual increase in stress to which we subject the body during training, where time, intensity and frequency are dimensions of it.
What is progressive overload?It is a training principle that emphasizes a progressive intensification of stress on the muscles.
It involves the systematic application of training stimuli that force the body to adapt and grow by manipulating the variables of frequency, time and intensity.
Therefore, we can conclude that progressive overload is the gradual increase in stress to which we subject the body during training, where time, intensity and frequency are dimensions of it.
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What are the advantages and disadvantages to whole-tire recycling?
Given what we know, we can confirm that whole-tire recycling has advantages for the environment, as well as economic disadvantages.
What are the Pros and Cons of recycling tires?Tires are made from rubber mixed with other substances such as steel and certain polyester fibers. This makes the tires a poor source of rubber and said rubber would not be of great quality when recycling, this along with the high cost of the process entails the disadvantages of recycling tires. The advantage, however, is environmental, as tires take up a great portion of the space in landfills and greatly pollute the air when burning.
Therefore, we can confirm that whole-tire recycling has advantages for the environment, as well as economic disadvantages due to its poor quality material and high cost of recycling.
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what is the kinetic energy of the ball at position A
Answer:
Zero j
Explanation:
If the ball is not moving at A, it has zero K.E.
If a wave has a frequency of 50 Hz and a wavelength of 2 meters.
Find its speed.
Answer:
100 m/s
Explanation:
here we use the wave equation which states that the velocity is equal to the product of the frequency and the wavelength.
so v = 50 × 2
v = 100 m/s
radiation from which type of decay has the least energy
Answer:
Alpha decay is the least penetrating. This is because the Alpha particle produced during the decay process is relatively large and low in energy thus it is easily 'blocked' and does not travel far through space.
Explanation:
Convert the orbital period 27.32 days into units of seconds
Answer:
[tex]2360448seconds[/tex]
Explanation:
Dimensional analysis is attached.
Which characteristic do all of the outer planets have in common?.
Answer:
Composition of hydrogen and helium is common in all outer planets. The inner planets are marked by features such as small size which is of rocks. On other hand, outer planets are characterized by features such as huge size due to composition of hydrogen and helium gases.
Explanation:
Answer:
They are mostly made up of hydrogen and helium.
Explanation:
A saddle weighs 250 newtons. The mass of the saddle is __________ kilograms. Use g = 9.8 N/kg for gravity.
Answer:
saddle weighs 250 newtons. The mass of the saddle is ____250/9.8 kg______ kilograms. Use g = 9.8 N/kg for gravity.
What resultant force is required to accelerate a 1600kg automobile uniformly from 8m/s to 30m/s in 10s?
Answer:
3520
Explanation: Force = Mass x Acceleration [∴ or F = ma]. Given values. mass, m = 1600 kg; initial velocity, u = 8 m/s; final velocity, v = 30 m/s; time taken, t = 10 s.
4. The work output is 500 joules for a machine that is 12.5 percent efficient. The work input is
joules. 0
(1 Point)
A.4000
B.1.000
C.2,000
D.12.500
Answer:
4000 J
Explanation:
x * .125 = 500
x = work input = 500 / .125 = 4000 J
3. What is mechanical advantages and velocity ratio of a machine?
Answer:
Mechanical advantage:
i. The ratio of load to effort on a balanced lever is called mechanical advantage.(Definition)
ii. Mechanical advatage (MA) = Load (L)/Effort (E) (Formula)
Velocity ratio:
i. The ratio of effort distance to load distance is called velocity ratio.(Definition)
ii. Velocity ratio (VR) = effort distance(Ed)/ load distance(Ld). (Formula)
Below, you will see a nuclear fission reaction: NUCLEAR FISSION A neutron slams into a Uranium-235 atom beginning the fission process. The products of this reaction are: Barium-141; Krypton-92; and 3 neutrons. + + + + + Please write the equation in the blanks below:
The nuclear fission reaction of Uranium-235 atom produces Barium-141, Krypton-92 and 3 neutrons.
What is nuclear fission?Nuclear fission is a nuclear reaction in which the atomic nucleus of a heavier element disintegrates or splits to produce two or more atoms of elements with smaller nuclei.
The nuclear fission reaction in which a neutron is used to bombard the nucleus of Uranium-235 atom to produce Barium-141, Krypton-92 and 3 neutrons is given below
[tex]_{235}U + \: _{1}n^{o} \rightarrow \: _{141}Ba+ \: _{92}Kr + 3 \: _{1}n^{o} [/tex]
Therefore, the nuclear fission reaction of Uranium-235 atom produces Barium-141, Krypton-92 and 3 neutrons.
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