SUMMARY
The correct method to find the temperature of helium in a pressure vessel involves using the ideal gas law, specifically the equation PV = nRT. In this scenario, the pressure is 5.42 bar, the density is 0.92 kg/m³, and the gas constant R is 8.314 J/(mol*K). The initial attempt incorrectly substituted the number of moles with density, leading to an erroneous temperature calculation of 70000 K. The solution requires expressing the number of moles in terms of the known properties of helium.
PREREQUISITES
- Understanding of the ideal gas law (PV = nRT)
- Knowledge of gas constants and their units
- Familiarity with density and its relationship to moles
- Basic algebra for manipulating equations
NEXT STEPS
- Review the ideal gas law and its applications in thermodynamics
- Learn about the properties of helium, including its molar mass
- Study how to convert between density and number of moles
- Explore common mistakes in gas law calculations and how to avoid them
USEFUL FOR
Students studying thermodynamics, physics enthusiasts, and anyone needing to solve problems related to gas laws and properties of gases.