What is the mass of glucose `(C_(6) H_(12) O_(6))` in it one litre solution which is isotonic with 6 g `L^(-1)` of urea `(NH_(2) CO NH_(2)) ?`

Explanation

Osmotic pressure of urea solution `(pi_1)= CRT`
`= (W_2)/(M_(2)V)RT`
`= (6)/(60xx1)xxRT`
Osmotic pressure of glucose solution `(pi_2)= (W_2)/(180xx1)= RT`
For isotonic solution, `pi_(1)= pi_(2)`
`(6)/(60)RT= (W_2)/(180)RT`
`implies W_(2)= (6)/(60)xx180`
`W_(2)= 18g`