NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Kinetic Theory of Gases
NEET · Physics · Kinetic Theory of Gases
A graph displays straight lines passing through the origin,...
A graph displays straight lines passing through the origin, representing the Volume () versus Mass () at STP for four different gases: , , , and . It is assumed that the intermolecular forces in all these gases vanish completely. The lines are labeled 1, 2, 3, and 4 in decreasing order of their slopes (i.e., line 1 is the steepest). Which of the following correctly identifies the gases corresponding to lines 1, 2, 3, and 4 respectively?
Options
- A, , ,
- B, , ,
- C, , , \text{He
- D, , ,
Correct answer
D. , , ,
Step-by-step solution
According to the ideal gas equation, the volume of a gas of mass and molar mass at STP is given by:
The slope of the versus graph is .
Thus, the slope is inversely proportional to the molar mass . The gas with the smallest molar mass will have the steepest slope (line 1).
The molar masses of the given gases are:
Since , the order of decreasing slopes is . Therefore, lines 1, 2, 3, and 4 correspond to , , , and respectively.
Answer: , , ,
The slope of the versus graph is .
Thus, the slope is inversely proportional to the molar mass . The gas with the smallest molar mass will have the steepest slope (line 1).
The molar masses of the given gases are:
Since , the order of decreasing slopes is . Therefore, lines 1, 2, 3, and 4 correspond to , , , and respectively.
Answer: , , ,