Calculating Properties of Helium Gas Under Isothermal Compression

In summary, a 2.00 mol sample of helium gas at 300K and 0.400atm pressure is compressed isothermally to 1.20atm. The volume of the gas can be found using the ideal gas law formula, which is recommended for this type of problem. In an isothermal compression, the work done on the gas is equal to the heat given off by the gas, and the work done is a natural log function of the change in volume. The natural log function is the most commonly seen function in this type of situation.
  • #1
cogs24
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a 2.00 mol sample of helium gas at 300K and 0.400atm pressure is compressed isothermally to 1.20atm
Find the volume of the gas, work done on the gas and the energy transferred by heat

just wondering how to approach this question, and what formulae i hould use where?
 
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  • #2
The formula to use is the one most obvious formula: the ideal gas law formula. It has three variation, called Charles' Law, Boyle' Law and Gaye-Lusac's Law, but I recommend sticking with the ideal gas formula. (Starts with "PV," remember?)

In an isothermal compression, the temperature stays the same, so there is no change in internal energy, therfore, the work on the gas must equal the heat given off by the gas.

Since ideal isothermal processes are hyperbolic, the work done must be a "natural log" function of the change in volume. You have probably seen only one natural log function so far, am I right?
 
  • #3
thankyou for your help
 

Related to Calculating Properties of Helium Gas Under Isothermal Compression

1. What is the purpose of studying the "Helium gas thermo problem"?

The "Helium gas thermo problem" refers to the study of the thermodynamic properties and behavior of helium gas. This is important for understanding the physical and chemical processes involving helium, such as its use in cryogenics and as a coolant in nuclear reactors.

2. How is helium gas different from other gases in terms of thermodynamics?

Helium gas is unique in that it has the lowest boiling point of any substance, at -268.9 degrees Celsius. This makes it an ideal coolant for applications requiring extremely low temperatures. It also has a very low density, making it useful in applications where weight is a concern.

3. What are some of the practical applications of the "Helium gas thermo problem"?

Aside from its use as a coolant, helium gas is also used in gas chromatography, as a lifting gas in balloons and airships, and in welding and other industrial processes. Understanding its thermodynamic properties is crucial for optimizing these applications.

4. What are the main factors that affect the thermodynamic behavior of helium gas?

The behavior of helium gas is primarily influenced by temperature and pressure. At low temperatures, it exhibits superfluidity, a state in which it has zero viscosity and can flow without any resistance. Pressure also plays a role in determining the phase of helium gas, with lower pressures resulting in the gas phase and higher pressures resulting in the liquid phase.

5. How does the "Helium gas thermo problem" relate to other areas of science?

The study of helium gas and its thermodynamic properties is closely linked to other areas of physics, such as quantum mechanics and statistical mechanics. It also has implications for chemistry, particularly in the fields of cryogenics and nuclear chemistry. Additionally, understanding the behavior of helium gas can provide insights into the behavior of other gases and materials at extreme temperatures and pressures.

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