Derive the ideal gas equation.

Understand the Problem

The question asks for the derivation of the ideal gas equation. This involves combining Boyle's Law, Charles's Law, and Avogadro's Law to arrive at the equation PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

Answer

The ideal gas equation is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is the absolute temperature.

The ideal gas equation is PV = nRT, where:

  • P = Pressure of the gas
  • V = Volume of the gas
  • n = Number of moles of gas
  • R = Ideal gas constant
  • T = Absolute temperature of the gas
Answer for screen readers

The ideal gas equation is PV = nRT, where:

  • P = Pressure of the gas
  • V = Volume of the gas
  • n = Number of moles of gas
  • R = Ideal gas constant
  • T = Absolute temperature of the gas

More Information

The ideal gas law is a good approximation of the behavior of many gases under a wide range of conditions, although it has limitations.

Tips

Pay attention to the units of each variable to ensure consistency. For example, the ideal gas constant R has different values depending on the units used for pressure, volume, and temperature.

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