Which among the following option is the correct graphical representation of Boyle's Law?
The Correct Option is B
Approach Solution - 1
Boyle's Law is a fundamental principle in chemistry and physics that describes the relationship between the pressure and volume of a gas at constant temperature. It can be mathematically expressed as:
PV = k
Where:
- P is the pressure of the gas.
- V is the volume of the gas.
- k is a constant.
Boyle's Law implies that pressure and volume are inversely proportional when temperature is held constant. This means if the volume increases, the pressure decreases, and vice versa, as long as the temperature does not change. The graphical representation of this inverse relationship is a curve (hyperbola) that starts high and slopes downwards, suggesting that when one parameter increases, the other decreases.
The correct option displays a graph of Pressure (P) versus Volume (V) showing a downward curve, which is characteristic of this inverse relationship.
Approach Solution -2
Boyle's law states:
P ∝ \(\frac {1}{V}\)
And at a specific pressure:
P ∝ T
Therefore, The correct option is (B)
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Concepts Used:
States of Matter
The matter is made up of very tiny particles and these particles are so small that we cannot see them with naked eyes.
There are three States of Matter:
The three states of matter are as follows:
Solid State:
- The solid-state is one of the fundamental states of matter.
- Solids differ from liquids and gases by the characteristic of rigidity.
- The molecules of solids are tightly packed because of strong intermolecular forces; they only oscillate about their mean positions.
Liquid State:
- The molecules in a liquid are closely packed due to weak intermolecular forces.
- These forces are weaker than solids but stronger than that of gases.
- There is much space in between the molecules of liquids which makes their flowing ability easy.
Gaseous State:
- In this state of matter, distances between the molecules are large (intermolecular distance is in the range of 10-7-10-5 cm.
- The intermolecular forces experienced between them are negligible.
- Thus, translatory, rotatory and vibratory motions are observed prominently in gases.