Answer:
Option C
Explanation:
According to the formula
So
If we use wide wire we increase the area of cross section so resistance decreases
To solve the problem it is necessary to apply the concepts related to the conservation of energy through the heat transferred and the work done, as well as through the calculation of entropy due to heat and temperatra.
By definition we know that the change in entropy is given by
![\Delta S = \frac{Q}{T}](https://tex.z-dn.net/?f=%5CDelta%20S%20%3D%20%5Cfrac%7BQ%7D%7BT%7D)
Where,
Q = Heat transfer
T = Temperature
On the other hand we know that by conserving energy the work done in a system is equal to the change in heat transferred, that is
![W = Q_{source}-Q_{sink}](https://tex.z-dn.net/?f=W%20%3D%20Q_%7Bsource%7D-Q_%7Bsink%7D)
According to the data given we have to,
![Q_{source} = 200000Btu](https://tex.z-dn.net/?f=Q_%7Bsource%7D%20%3D%20200000Btu)
![T_{source} = 1500R](https://tex.z-dn.net/?f=T_%7Bsource%7D%20%3D%201500R)
![Q_{sink} = 100000Btu](https://tex.z-dn.net/?f=Q_%7Bsink%7D%20%3D%20100000Btu)
![T_{sink} = 600R](https://tex.z-dn.net/?f=T_%7Bsink%7D%20%3D%20600R)
PART A) The total change in entropy, would be given by the changes that exist in the source and sink, that is
![\Delta S_{sink} = \frac{Q_{sink}}{T_{sink}}](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsink%7D%20%3D%20%5Cfrac%7BQ_%7Bsink%7D%7D%7BT_%7Bsink%7D%7D)
![\Delta S_{sink} = \frac{100000}{600}](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsink%7D%20%3D%20%5Cfrac%7B100000%7D%7B600%7D)
![\Delta S_{sink} = 166.67Btu/R](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsink%7D%20%3D%20166.67Btu%2FR)
On the other hand,
![\Delta S_{source} = \frac{Q_{source}}{T_{source}}](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsource%7D%20%3D%20%5Cfrac%7BQ_%7Bsource%7D%7D%7BT_%7Bsource%7D%7D)
![\Delta S_{source} = \frac{-200000}{1500}](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsource%7D%20%3D%20%5Cfrac%7B-200000%7D%7B1500%7D)
![\Delta S_{source} = -133.33Btu/R](https://tex.z-dn.net/?f=%5CDelta%20S_%7Bsource%7D%20%3D%20-133.33Btu%2FR)
The total change of entropy would be,
![S = \Delta S_{source}+\Delta S_{sink}](https://tex.z-dn.net/?f=S%20%3D%20%5CDelta%20S_%7Bsource%7D%2B%5CDelta%20S_%7Bsink%7D)
![S = -133.33+166.67](https://tex.z-dn.net/?f=S%20%3D%20-133.33%2B166.67)
![S = 33.34Btu/R](https://tex.z-dn.net/?f=S%20%3D%2033.34Btu%2FR)
Since
the heat engine is not reversible.
PART B)
Work done by heat engine is given by
![W=Q_{source}-Q_{sink}](https://tex.z-dn.net/?f=W%3DQ_%7Bsource%7D-Q_%7Bsink%7D)
![W = 200000-100000](https://tex.z-dn.net/?f=W%20%3D%20200000-100000)
![W = 100000 Btu](https://tex.z-dn.net/?f=W%20%3D%20100000%20Btu)
Therefore the work in the system is 100000Btu
Breathe and now I’m just filling in more letters so it’ll go thru
Answer:
Amplitude.
Explanation:
A wave can be defined as a disturbance in a medium that progressively transports energy from a source location to another location without the transportation of matter.
In Science, there are two (2) types of wave and these include;
I. Electromagnetic waves: it doesn't require a medium for its propagation and as such can travel through an empty space or vacuum. An example of an electromagnetic wave is light.
II. Mechanical waves: it requires a medium for its propagation and as such can't travel through an empty space or vacuum. An example of a mechanical wave is sound.
An amplitude can be defined as a waveform that's measured from the center line (its origin or equilibrium position) to the bottom of a trough or top of a crest.
Hence, an amplitude is a word that describes the maximum displacement a point moves from its rest position when a wave passes.
On a graph, the vertical axis (y-axis) is the amplitude of a waveform and this simply means that, it's measured vertically.
Mathematically, the amplitude of a wave is given by the formula;
x = Asin(ωt + ϕ)
Where;
x is displacement of the wave measured in meters.
A is the amplitude.
ω is the angular frequency measured in rad/s.
t is the time period measured in seconds.
ϕ is the phase angle.
Answer:
Amplitude
Explanation:
The amplitude is maximum height a wave is measured from its rest position.