(i) Calculate the uncertainty in the position of an electron, if the uncertainty in its velocity is `5.7 xx 10^5 "ms"^-1`
(ii) What is the mass of glucose `(C_6H_(12)2O_6)` in it one litre solution hich is isotonic with `6 gl-^(-1)` of uren `(NH_2CONH_2)`?

Explanation

(i) Uncertainty in velocity `= Delta v = 5.7 xx 10^5 ms^(-1)`
Mass of an electron `=m= 9.1 xx 10^(-31)` kg
Uncertainty in position `= Delta x = ?`
`Delta x. m. Delta v= (h)/(4pi)`
`Delta x= (h)/(m. Delta v xx 4 pi) = (6.626 xx 10^(-34))/(9.1 xx 10^(-31) xx 5.7 xx 10^5 xx 4 pi)`
`Delta x= (6.626 xx 10^(-34))/(9.1 xx 10^(31-) xx 5.7 xx 10^5 xx 4 xx 3.14) `
`= 0.010 xx 10^(-8) = 1 xx 10^(-10) m`
Uncertainity in position `= 1 xx 10^(10)` m
(ii) Osmotic pressure of urea solution `(pi_1) = CRT`
`= (W_2)/(M_2V)RT = (6)/(60 xx 1) xx RT`
Osmotic pressure of glucose solution
`(pi_2) = (W_2)/(180 xx 1) xx RT`
For isotomic solution `pi_1 = pi_2`
`6/60 RT = (W_2)/(180) RT rArr W_2 = 6/20 xx 180`