How Does a Calor Engine Power a 200V Generator at Different RPMs?

In summary, the conversation is about a student named Wira seeking help for a problem related to an Indonesian high school entrance exam. The problem involves a heat engine with a specific cycle and a generator with a voltage of 200V and a current of 4A. The student is trying to determine the engine's required speed in order to produce the desired power. They have attempted using various equations but are stuck and seeking further assistance. The expert suggests calculating the work produced by one cycle of the engine and figuring out how many cycles are needed to reach the desired power.
  • #1
wiraimperia
9
0

Homework Statement


Hello, let me introduce myself first. I am Wira, a Senior High School alumnus in Indonesia. I am currently preparing for my university entrance exam. This is a problem which I get stuck in, and can you help me with it?
ISOKHOR.PNG

Indonesian:
Suatu mesin kalor yang bekerja dengan siklus yang dibangun dari dua isobar dan dua isokhor seperti pada gambar di atas digunakan untuk menggerakkan sebuah generator yang tegangan keluarannya 200V. Apabila generator ini mendapat beban arus 4A, maka mesin kalor tersebut dijalankan pada putaran per menit...
A 360 rpm
B 400 rpm
C 440 rpm
D 480 rpm
E 520 rpm
English:
A calor engine that works with the cycle of two isobarics and two isochorics shown in the picture above is used to spin a generator that has the output potential of 200V. If this generator has the current of 4A, then that engine is used in ... rpm
(Options above)

Homework Equations


V = NBAw sin (wt)
E = V I t
E = The area of the box area in the graph

The Attempt at a Solution


I have tried using:
V = NBAw sin (wt)
Consider that sin (wt) = 1
But we have no data of N and B...
And for the cycle
Energy generated = the area of the box
Energy = Energy
Consider that t = 1
V I t = NBAw sin (wt)
NBAw I = (Box area)
We are looking for the w, so it becomes
w = (Box area)/NBA
I got stuck in this...
Do you have any ideas? Your contribution helps improve me. =)
 
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  • #2
You are given the voltage and current of the generator, so you know its power. (You can assume that the load is ohmic so current and voltage are in phase.)

Calculate the work produced by one cycle of the heat engine. With how many cycles do you get the desired power?

ehild
 

FAQ: How Does a Calor Engine Power a 200V Generator at Different RPMs?

What is the purpose of connecting a calorimeter to a generator?

The purpose of connecting a calorimeter to a generator is to measure the amount of heat generated by the generator. This can help determine the efficiency of the generator and the amount of fuel needed to power it.

How is a calorimeter connected to a generator?

A calorimeter is typically connected to a generator through a heat exchanger, which allows the transfer of heat from the generator to the calorimeter. The heat exchanger is connected to the generator's exhaust system, where the hot gases from the combustion process can be directed towards the calorimeter for measurement.

Can any type of calorimeter be connected to a generator?

In theory, any type of calorimeter can be connected to a generator. However, the most commonly used type is a bomb calorimeter, which is specifically designed for measuring the heat produced by combustion reactions. Other types, such as differential scanning calorimeters or isothermal calorimeters, may also be used depending on the specific research or testing needs.

What factors can affect the accuracy of the calorimeter-generator connection?

Several factors can affect the accuracy of the calorimeter-generator connection, including the positioning and insulation of the heat exchanger, the flow rate and temperature of the gases, and the design and calibration of the calorimeter itself. It is important to carefully consider and control these factors in order to obtain accurate and reliable results.

Are there any safety concerns when connecting a calorimeter to a generator?

Yes, there are potential safety concerns when connecting a calorimeter to a generator. The heat exchanger and surrounding equipment can become extremely hot, so proper precautions should be taken to avoid burns or other injuries. Additionally, the combustion process can produce toxic gases, so ventilation and protective gear may be necessary when setting up the connection. It is important to follow all safety protocols and regulations when working with a calorimeter-generator connection.

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