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(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)? |
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Answer» Solution :(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` `6/60RT = (W_2)/(180) RT RARR W_2 = 6/20 xx 180` |
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