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AP EAMCET202421 May 2024Evening ShiftChemistryStates of MatterActual

At T ( K ) , the P , V and u_ rms of 1 mole of an ideal gas were measured. The following graph is obtained. What is its slope (m)? (x . -axis = PV ; y -axis u_ r m s ^2, M = Molar mass )

Options

  1. A3 M
  2. BM 3
  3. C( M 3 )^ 1 / 2
  4. D( 3 M )^ 1 / 2

Correct answer

A. 3 M

Step-by-step solution

Root mean square velocity (v_ rms )= 3 RT M for 1 mole ideal gas equation gathered PV = RT v _ rms = 3 PV M v _ rms ^2= 3 PV M gathered aligned & y = mx + C & M ( slope )= 3 M & Intercept (C)=0 aligned

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