.18 Rearrange multi-variable equations

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or
Solve for n in terms of P, V, R, and T.
PV=nRT
n=

1 answer

To solve for \( n \) in terms of \( P \), \( V \), \( R \), and \( T \) from the equation \( PV = nRT \), you can follow these steps:

  1. Start with the ideal gas law equation: \[ PV = nRT \]

  2. To isolate \( n \), divide both sides of the equation by \( RT \): \[ n = \frac{PV}{RT} \]

So, the expression for \( n \) is: \[ n = \frac{PV}{RT} \]