Q46 / 57 · KVPY 2019 (SA) · Physics

Which one of the following schematic graphs best represents the variation of p V (in Joules) versus $T$ (in Kelvin) of one mole of an ideal gas? (The dotted line represents p V=T )

  • Correct answer
    A
    Figure
  • B
    Figure
  • C
    Figure
  • D
    Figure

Solution

From gas equation,
 p V=n R T  
Here, n=1 mole
So,pV=RT
Substituting the value of R in Eq. (i), we get
 p V=8.3 T  
Clearly, slope of p V versus T line is 8.3 , which is greater than one. Hence, following graph is correct.

Figure

Hence, the correct answer is option: 'A'.

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