Isobaric Process: Finding Work Done by Ideal Gas

In summary, when 23.3 J of heat was added to a particular ideal gas with a volume change from 54.7 cm^3 to 100 cm^3 while maintaining a pressure of 1.00 atm, the internal energy of the gas increased by an unknown amount. To find the change in internal energy, we can use the first law of thermodynamics which states that the change in internal energy is equal to the heat added minus the work done by the system. In this case, we know that 23.3 J of heat was added, so to find the work done, we can use the formula W=PΔV. Since the process is constant pressure, we can substitute the given pressure and volume values to
  • #1
tigers4
24
0

Homework Statement


When 23.3 J was added as heat to a particular ideal gas, the volume of the gas changed from 54.7 cm3 to 100 cm3 while the pressure remained at 1.00 atm.
(a) By how much did the internal energy of the gas increase?
J

(b) If the quantity of gas present was 2.00 10-3 mol, find Cp.
J/mol·K

(c) Find CV.
J/mol·K


Homework Equations


PV=nRT
Cp=Cv+R
Eint=CvRT



The Attempt at a Solution


I have tried to use the equations above but am not sure how to calculate the temperature in kelvin from Joules
 
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  • #2
What kind of process is this, constant volume, constant pressure, isothermal or adiabatic?
 
  • #3
constant pressure
 
  • #4
Correct. What does the first law of thermodynamics say?
 
  • #5
change in internal energy U=Q-W
change in internal energy=heat added-work done by system
 
  • #6
tigers4 said:
change in internal energy U=Q-W
change in internal energy=heat added-work done by system
Correct. You know that 23.3 J of heat was added to the gas. If you can find W, the work done by the system, then you have the change in internal energy. How does one find the work done by the system (gas) when one has a constant pressure process?
 

FAQ: Isobaric Process: Finding Work Done by Ideal Gas

What is an ideal gas?

An ideal gas is a theoretical gas that follows the ideal gas law, which describes the relationship between temperature, pressure, and volume. It is assumed to have no intermolecular forces and particles that occupy no volume.

What is the ideal gas law?

The ideal gas law is a mathematical equation that describes the behavior of an ideal gas. It is written as PV=nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.

How do you solve ideal gas problems?

To solve ideal gas problems, you need to use the ideal gas law and rearrange the equation to solve for the unknown variable. Make sure to convert all units to the correct SI units and use the appropriate value for the gas constant depending on the units used.

What are the assumptions of the ideal gas law?

The ideal gas law assumes that the gas particles have no volume, there are no intermolecular forces between particles, and the collisions between particles are perfectly elastic. It also assumes that the gas is at a low pressure and high temperature.

What are some real-world applications of ideal gas problems?

Ideal gas problems are used in many real-world applications, such as predicting the behavior of gases in chemical reactions, calculating the volume of gas needed for a specific amount of product, and determining the pressure and temperature of gases in industrial processes. They are also used in weather forecasting and studying the behavior of gases in the atmosphere.

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