Thermodynamics rigid tank, determine electrical energy supplied to air

In summary, an insulated 8-m^3 rigid tank containing air at 600 kPa and 400 K has a valve opened to allow air to escape until the pressure drops to 200 kPa. The air temperature is maintained constant by an electric resistance heater placed in the tank. The electrical energy supplied to the air during this process can be calculated using the equation for change in entropy at constant temperature and the known pressure and temperature values. Alternatively, the change in heat transfer can be calculated using the temperature difference between the initial and final states. Both methods should yield the same value for the electrical energy supplied.
  • #1
getfreshcrue
2
0
An insulated 8-m^3 rigid tank contains air at 600 kPa and 400 K. A valve connected to the tank is now opened, and air is allowed to escape until the pressure inside drops to 200 kPa. The air temperature during the process is maintained constant by an electric resistance heater placed in the tank. Determine the electrical energy supplied to air during this process.

HELP!
 
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  • #2
So if in the process the temperature is kept constant, what the volume after the air escapes?
 
  • #3
Equations to help with this?
 
  • #4
try change in entropy(at constant temp, the volume remains const as this is a rigid tank)= change in heat transfer/temperature(constant) & you get, the change in heat transfer as the rate of Electrical energy supplied by the electrical resistance placed..
 
  • #5
getfreshcrue said:
Equations to help with this?

You should know how pressure relates to temperature at constant volume and how to find heat transfer at a given temperature difference.


I think this should give you the same value as the entropy method.
 
  • #6
yep..there is.. but try relating entropy changes.. there are change in entropy relations with volume, pressure & temp..no need to go for ΔT values as Temperature is made constant by electric resistance heater... i ll try to solve it when i find time & post them..
 

1. What is thermodynamics and how does it apply to a rigid tank?

Thermodynamics is the study of the relationships between heat, work, and energy. In a rigid tank, thermodynamics is used to analyze the behavior of a substance, such as air, when it is confined in a closed system with no change in volume.

2. How is electrical energy supplied to air in a rigid tank?

In a rigid tank, electrical energy can be supplied to air through the use of a heating element or by passing an electrical current through the air. This added energy increases the temperature and internal energy of the air, causing it to expand and possibly perform work on its surroundings.

3. Can the electrical energy supplied to air in a rigid tank be measured?

Yes, the electrical energy supplied to air in a rigid tank can be measured using various methods such as measuring the current and voltage applied, the change in temperature of the air, or the work done by the air on its surroundings.

4. What factors affect the amount of electrical energy supplied to air in a rigid tank?

The amount of electrical energy supplied to air in a rigid tank is affected by the electrical input (current and voltage), the properties of the air (such as its specific heat capacity), and the initial and final states of the air (temperature and volume).

5. How does the first law of thermodynamics apply to a rigid tank with electrical energy supplied to air?

The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or converted. In a rigid tank with electrical energy supplied to air, the electrical energy is converted into thermal energy, causing a change in the internal energy of the air. This change in energy can be calculated using the first law of thermodynamics.

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