Question

question
under conditions of constant temperature and amount of substance, a plot of pressure vs. volume for an ideal gas will result in ________.
select the correct answer below:
a line
a parabola
a logarithmic function
none of the above

Explanation:

Step1: Recall Boyle's Law

Boyle's Law states \(PV = k\) (constant \(T\) and \(n\)).

Step2: Analyze the relationship

If \(PV=k\), then \(P=\frac{k}{V}\). This is an inverse - relationship. A line is \(y = mx + b\) (linear), a parabola is \(y=ax^{2}+bx + c\), a logarithmic function is \(y = a\ln(x)+b\). The \(P - V\) relationship (\(P=\frac{k}{V}\)) is a hyperbola, not a line, parabola, or logarithmic function. So the answer is none of the above.

Answer:

D. none of the above