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 () versus absolute temperature () graphs for equal masses of three different ideal gases A, B, and C, measured at the same constant pressure.
If , , and are their respective molar masses, which of the following relations is correct?
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
According to the ideal gas equation, .
Substituting the number of moles , where is the mass and is the molar mass, we get:
Rearranging this equation to represent the volume as a function of absolute temperature , we have:
This represents a straight line passing through the origin with a slope given by:
Since the mass and pressure are constant for all three gases, the slope is inversely proportional to the molar mass :
From the given graph, the slopes of the lines are in the order:
Therefore, the relation between their molar masses is:
Answer:
Substituting the number of moles , where is the mass and is the molar mass, we get:
Rearranging this equation to represent the volume as a function of absolute temperature , we have:
This represents a straight line passing through the origin with a slope given by:
Since the mass and pressure are constant for all three gases, the slope is inversely proportional to the molar mass :
From the given graph, the slopes of the lines are in the order:
Therefore, the relation between their molar masses is:
Answer: