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pv = nrt solve for r r = p/n + v/t r = pv - nt r = (pv - n)/t r = pv/nt

Question

pv = nrt
solve for r
r = p/n + v/t
r = pv - nt
r = (pv - n)/t
r = pv/nt

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. $R = \frac{pV}{nT}$