Derive an expression for PV=nRT
Understand the Problem
The question asks to derive the expression PV=nRT, which is the ideal gas law. The ideal gas law relates pressure (P), volume (V), number of moles (n), the ideal gas constant (R), and temperature (T). Deriving this expression typically involves starting from empirical gas laws (Boyle's, Charles's, Avogadro's) and combining them, or using kinetic theory of gases.
Answer
PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.
The Ideal Gas Law, PV = nRT, combines Boyle's, Charles', and Avogadro's Laws to relate pressure (P), volume (V), number of moles (n), ideal gas constant (R, 8.314 J/mol·K), and temperature (T). It describes the behavior of ideal gases under specific conditions.
Answer for screen readers
The Ideal Gas Law, PV = nRT, combines Boyle's, Charles', and Avogadro's Laws to relate pressure (P), volume (V), number of moles (n), ideal gas constant (R, 8.314 J/mol·K), and temperature (T). It describes the behavior of ideal gases under specific conditions.
More Information
The ideal gas law is an equation of state that describes the behavior of ideal gases. It is a good approximation for many gases under a wide range of conditions.
Tips
A common mistake is using the wrong units for the variables in the ideal gas law. Make sure to use consistent units, such as Pascals for pressure, cubic meters for volume, moles for the amount of substance, and Kelvin for temperature.
Sources
- Derivation Of Ideal Gas Equation - Chemistry - BYJU'S - byjus.com
- Ideal Gas Equation | Derivations & Formula - Lesson - Study.com - study.com
- The ideal gas law (PV = nRT) (video) - Khan Academy - khanacademy.org
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