Question

solve the equation for the indicated variable.
pv = nrt, r
r=
(simplify your answer. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Isolate \( R \)

Given \( PV = nRT \), divide both sides by \( nT \).
$$\frac{PV}{nT}=\frac{nRT}{nT}$$

Step2: Simplify

Simplify the right - hand side. Since \(\frac{nRT}{nT}=R\) (the \(n\) and \(T\) terms cancel out), we get \(R=\frac{PV}{nT}\)

Answer:

\(R = \frac{PV}{nT}\)