Which of the following equation is based on Boyle’s Law?
| Which of the following equation is based on Boyle’s Law?
A. <span class="math-tex">\(\frac{{dP}}{P} = - \frac{{dV}}{V}\)</span>
B. <span class="math-tex">\(\frac{{dP}}{P} = + \frac{{dV}}{V}\)</span>
C. <span class="math-tex">\(\frac{{dP}}{P} = + \frac{{dT}}{T}\)</span>
D. <span class="math-tex">\(\frac{{dP}}{P} = - \frac{{dT}}{T}\)</span>
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
Boyle’s Law:
PV = Const.
On differentiating:
d(PV) = d(const)
VdP + PdV = 0
VdP = -PdV
\(\frac{{dP}}{P} = - \frac{{dV}}{V}\)