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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Chapter

NEET 2026 · Physics · Chapter

The given figure shows the volume ( V ) versus absolute temperature...

The given figure shows the volume ( V ) versus absolute temperature ( T ) graphs for equal masses of three different
The given figure shows the volume (VV) versus absolute temperature (TT) graphs for equal masses of three different ideal gases A, B, and C, measured at the same constant pressure.

If MAM_A, MBM_B, and MCM_C are their respective molar masses, which of the following relations is correct?

Options

  1. AMA>MB>MCM_A > M_B > M_C
  2. BMA<MB<MCM_A < M_B < M_C
  3. CMA=MB=MCM_A = M_B = M_C
  4. DMB>MC>MAM_B > M_C > M_A

Correct answer

B. MA<MB<MCM_A < M_B < M_C

Step-by-step solution

According to the ideal gas equation, PV=nRTPV = nRT.

Substituting the number of moles n=mMn = \dfrac{m}{M}, where mm is the mass and MM is the molar mass, we get:

PV=mMRTPV = \dfrac{m}{M}RT

Rearranging this equation to represent the volume VV as a function of absolute temperature TT, we have:

V=(mRPM)TV = \left(\dfrac{mR}{PM}\right)T

This represents a straight line passing through the origin with a slope given by:

Slope=mRPM\text{Slope} = \dfrac{mR}{PM}

Since the mass mm and pressure PP are constant for all three gases, the slope is inversely proportional to the molar mass MM:

Slope∝1M\text{Slope} \propto \dfrac{1}{M}

From the given V−TV-T graph, the slopes of the lines are in the order:

SlopeA>SlopeB>SlopeC\text{Slope}_A > \text{Slope}_B > \text{Slope}_C

Therefore, the relation between their molar masses is:

MA<MB<MCM_A < M_B < M_C

Answer: MA<MB<MCM_A < M_B < M_C
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