Question

Which among the following option is the correct graphical representation of Boyle's Law?

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is B

To solve the question of identifying the correct graphical representation of Boyle's Law, we need to understand the law itself.

Boyle's Law states that the pressure of a given mass of gas is inversely proportional to its volume, provided the temperature remains constant. Mathematically, this can be expressed as:

\(PV = k\), where \(P\) is the pressure, \(V\) is the volume, and \(k\) is a constant.

Since \(P \propto \frac{1}{V}\), the graph of pressure (P) versus volume (V) should be a hyperbola, indicating an inverse relationship.

Now, let's evaluate the given options and identify which graph fits this relationship:

• The correct graph for Boyle's Law should display a downward-sloping curve, which represents an inverse relationship.

On reviewing the given options, the correct graph depicting Boyle's Law is:

This graph shows that as the volume decreases, the pressure increases, and vice versa, which is consistent with Boyle's Law.

Therefore, The correct option is (B)