The graph between pressure and volume in Boyle’s law experiment is shown in figure for different masses of same gas at same temperature then:

(A) $m_{2}>m_{1}$
(B) $m_{1}>m_{2}$
(C) $m_{1}=m_{2}$
(D) $m_{1}^{3}>m_{2}$
Answer
298.2k+ views
Hint: We know that Boyle's law states that at constant temperature for a fixed mass, the absolute pressure and the volume of a gas are inversely proportional. The law can also be stated in a slightly different manner, that the product of absolute pressure and volume is always constant. The volume of the air in the system can be altered by moving the piston. By considering the air as an ideal gas, the pressure and the volume readings allow a direct verification of Boyle's law at various temperatures.
Complete step by step answer
We can say that an ideal gas is a gas that conforms, in physical behaviour, to a particular, idealized relation between pressure, volume, and temperature called the ideal gas law. The equation of state of n gram-moles of a perfect gas can then be written as $\mathrm{pv} / \mathrm{t}=\mathrm{nR},$ in which $\mathrm{R}$ is called the universal gas constant.
We know that from ideal gas equation, $\mathrm{PV}=\mathrm{nRT}$ and $\mathrm{n}=\dfrac{\mathrm{w}}{\mathrm{M}}$ where $\mathrm{M}$ is the molecular weight of the gas.
Now we can say that $\mathrm{PV}=\dfrac{\mathrm{w}}{\mathrm{M}} \mathrm{RT}$
So, we draw a vertical line at a volume of say $\mathrm{V}_{0}$.
Then for this volume, we see that pressure is higher for the gas with molecular weight as $\mathrm{M}_{2}$ (from the graph)
Hence, this means that $\mathrm{M}_{2}$ must be smaller than $\mathrm{M}_{1}$.
So, the correct answer is option B.
Note: We know that since the boiling point is dependent on pressure, we can use Boyle's law and a syringe to make water boil at room temperature. Deep-sea fish die when they're brought from the depths to the surface. The pressure decreases dramatically as they are raised, increasing the volume of gases in their blood and swim bladder. The law itself can be stated as follows for a fixed mass of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional. Or Boyle's law is a gas law, stating that the pressure and volume of a gas have an inverse relationship.
Complete step by step answer
We can say that an ideal gas is a gas that conforms, in physical behaviour, to a particular, idealized relation between pressure, volume, and temperature called the ideal gas law. The equation of state of n gram-moles of a perfect gas can then be written as $\mathrm{pv} / \mathrm{t}=\mathrm{nR},$ in which $\mathrm{R}$ is called the universal gas constant.
We know that from ideal gas equation, $\mathrm{PV}=\mathrm{nRT}$ and $\mathrm{n}=\dfrac{\mathrm{w}}{\mathrm{M}}$ where $\mathrm{M}$ is the molecular weight of the gas.
Now we can say that $\mathrm{PV}=\dfrac{\mathrm{w}}{\mathrm{M}} \mathrm{RT}$
So, we draw a vertical line at a volume of say $\mathrm{V}_{0}$.
Then for this volume, we see that pressure is higher for the gas with molecular weight as $\mathrm{M}_{2}$ (from the graph)
Hence, this means that $\mathrm{M}_{2}$ must be smaller than $\mathrm{M}_{1}$.
So, the correct answer is option B.
Note: We know that since the boiling point is dependent on pressure, we can use Boyle's law and a syringe to make water boil at room temperature. Deep-sea fish die when they're brought from the depths to the surface. The pressure decreases dramatically as they are raised, increasing the volume of gases in their blood and swim bladder. The law itself can be stated as follows for a fixed mass of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional. Or Boyle's law is a gas law, stating that the pressure and volume of a gas have an inverse relationship.
Recently Updated Pages
Four persons A B C and D initially at the corners of class 11 physics JEE_Main

What is the difference between Conduction and conv class 11 physics JEE_Main

Moment of inertia of solid sphere about its diameter class 11 physics JEE_Main

If a piece of ice floating on the surface of water class 11 physics JEE_Main

At what temperature speed of sound in air will be doubled class 11 physics JEE_Main

A closed organ pipe and an open organ pipe are tuned class 11 physics JEE_Main

Trending doubts
JEE Main 2026: Exam Dates, Session 2 Updates, City Slip, Admit Card & Latest News

Understanding the Electric Field of a Uniformly Charged Ring

Understanding Atomic Structure for Beginners

Electron Gain Enthalpy and Electron Affinity Explained

Derivation of Equation of Trajectory Explained for Students

How to Convert a Galvanometer into an Ammeter or Voltmeter

Other Pages
CBSE Notes Class 11 Physics Chapter 1 - Units And Measurements - 2026-27 PDF Download (Login Required)

NCERT Solutions For Class 11 Physics Chapter 1 Units And Measurements - 2026-27 Free PDF Download (Login Required)

NCERT Solutions For Class 11 Physics Chapter 2 Motion In A Straight Line - 2026-27 Free PDF Download (Login Required)

Important Questions For Class 11 Physics Chapter 1 Units and Measurement - 2026-27 Free PDF Download (Sign-in Required)

JEE Advanced Percentile vs Marks 2026: JEE Main Cutoff, AIR & IIT Admission Guide

CBSE Notes Class 11 Physics Chapter 2 - Motion in a Straight Line - 2026-27 PDF Download (Login Required)

