SUMMARY
The change of internal energy of air in a car rubber can be calculated using the formula U = (5/2)nRT, where n is the number of moles of air. Given a volume of 50 liters, an initial pressure of 1.8 atm, and a temperature of 293 K, the number of moles (n) is determined to be approximately 3.7. After the pressure increases to 2 atm, the change in internal energy is calculated to be 2500 J, which aligns closely with the textbook answer of 2537 J when accounting for significant figures and using precise values for atmospheric pressure.
PREREQUISITES
- Understanding of the Ideal Gas Law
- Familiarity with the formula for internal energy of an ideal gas
- Basic knowledge of thermodynamics
- Ability to perform calculations involving pressure, volume, and temperature
NEXT STEPS
- Study the Ideal Gas Law and its applications in thermodynamics
- Learn about the internal energy equations for diatomic gases
- Explore the significance of significant figures in scientific calculations
- Investigate the properties of air as a mixture of gases
USEFUL FOR
Students studying thermodynamics, physics enthusiasts, and anyone interested in understanding the behavior of gases under varying conditions.