a,
$n_{CO_2}=\frac{13,2}{44}=0,3 mol$
$n_{H_2O}=\frac{7,56}{18}=0,42 mol$
2 ancol gọi chung là $C_nH_{2n+2}O$
Bảo toàn C, H:
$n_{\text{ancol}}=\frac{0,3}{n}=\frac{0,42}{n+1}$
$\Leftrightarrow 0,42n=0,3n+0,3$
$\Leftrightarrow n=2,5$
Vậy 2 ancol là $C_2H_5OH$ (a mol), $C_3H_7OH$ (b mol)
Bảo toàn C: $2a+3b=0,3$ (1)
Bảo toàn H: $3a+4b=0,42$ (2)
(1)(2) $\Rightarrow a=b=0,06$
b,
$C_2H_5OH\buildrel{{H_2SO_4, 170^oC}}\over\to C_2H_4+H_2O$
$C_3H_7OH\buildrel{{H_2SO_4, 170^oC}}\over\to C_3H_6+H_2O$
$H=75\%$ nên chỉ thu được $0,06.75\%=0,045 mol$ mỗi khí.
$\Rightarrow \Sigma n_{\text{khí}}= 0,045+0,045=0,09 mol$
$3C_2H_4+2KMnO_4+4H_2O\to 3C_2H_4(OH)_2+2MnO_2+2KOH$
$3C_3H_6+2KMnO_4+4H_2O\to 3C_3H_6(OH)_2+2MnO_2+2KOH$
$\Rightarrow n_{KMnO_4}=\frac{2}{3}n_{\text{khí}}= 0,06 mol$
$\Rightarrow V_{KMnO_4}=\frac{0,06}{1}=0,06l=60ml$