What is the mass of the helium present - Thermodynamics

In summary, the work done by the gas can be expressed as dW=nRdT. Using the ideal gas law, we can substitute for dV and simplify the expression to W=\int_{T_1}^{T_2}nRdT. By solving the integral and using the molar mass of helium, we can determine the mass of helium present in the sample.
  • #1
cmilho10
20
0
A sample of helium behaves as an ideal gas as energy is added by heat at constant pressure from 273 K to 383 K. If the gas does 23.0 J of work, what is the mass of helium present?

I tried this and think u use m=Q/c*change in T, but not sure where to go from there
 
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  • #2
The expression for the work done by the gas is:
[tex]dW=PdV[/tex]
Since there is constan pressure we can write:
[tex]V=\frac{nRT}{P}[/tex]
[tex]dV=\frac{nR}{P}dT[/tex]
So
[tex]dW=nRdT[/tex]
and
[/tex]W=\int_{T_1}^{T_2}nRdT[/tex]
Do the integral, use the molar mass of He to convert the # of moles of He to the mass, and then solve for the mass.
 

Related to What is the mass of the helium present - Thermodynamics

1. What is the definition of mass in thermodynamics?

In thermodynamics, mass is defined as the measure of the amount of substance present in a system. It is a fundamental property of matter and is usually measured in kilograms (kg) or grams (g).

2. How is the mass of helium determined in a system?

The mass of helium present in a system can be determined by measuring the total mass of the system and subtracting the mass of all other components present. Alternatively, it can also be calculated by knowing the molar mass of helium and the number of moles present in the system.

3. Can the mass of helium change in a closed system?

In thermodynamics, the mass of a closed system remains constant, meaning it cannot be created or destroyed. Therefore, the mass of helium present in a closed system will remain the same unless there is a transfer of mass into or out of the system.

4. How does temperature affect the mass of helium in a system?

Temperature has a direct effect on the mass of helium present in a system. As the temperature increases, the average kinetic energy of the helium particles also increases, causing them to move faster and take up more space. This results in a decrease in density and therefore a decrease in mass for a given volume of helium.

5. Is the mass of helium affected by changes in pressure?

According to the Ideal Gas Law, the mass of a gas is directly proportional to its pressure and volume. Therefore, an increase in pressure will result in an increase in the mass of helium present in a system, while a decrease in pressure will lead to a decrease in mass.

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