pv = nrt\nsolve for r\nr = p/n + v/t\nr = pv - nt\nr = (pv - n)/t\nr = pv/nt

pv = nrt\nsolve for r\nr = p/n + v/t\nr = pv - nt\nr = (pv - n)/t\nr = pv/nt
Answer
Explanation:
Step1: Isolate R
Given $pV = nRT$, divide both sides by $nT$. $\frac{pV}{nT}=\frac{nRT}{nT}$
Step2: Simplify the right - hand side
The $nT$ terms on the right - hand side cancel out, leaving $R=\frac{pV}{nT}$.
Answer:
D. $R = \frac{pV}{nT}$