AP EAMCET202421 May 2024Morning ShiftChemistryStates of MatterActual
The RMS velocity ( u _ rms ) of one mole of an ideal gas was measured at different temperatures and the following graph is obtained. What is the slope ( m ) of straight line? (x -axis = T ( ~K ) ; y -axis = ( u _ rms )^2 ; M = molar mass ; R = . gas constant)
Options
- A( 3 R M )^ 1 / 2
- B( M 3 R )^ 1 / 2
- CM 3 R
- D3 R M
Correct answer
D. 3 R M
Step-by-step solution
RMS velocity (v_ rms )= 3 RT M aligned & (v_ rms )^2= 3 R T M & (v_ rms )^2= 3 R M T & y=m x+C & y- axis = (v_ rms )^2 & x axis = T & Slope = 3 R M & intercept (C)=0 aligned