The electrolysis of acetate solution produces ethane according to reaction:
` 2CH_3COO^(-) to C_2H_6(g) + 2CO_(2)(g) + 2e^(-)`. The current efficiency of the process is 80% . What volume of gases would be produced at ` 27^@C and 740 ` torr. If the current of 0.5 amp is passes through the solution for `96.45 ` min ? `(V_(C_2H_6) + V_(CO_2)) =?`

Options

A. `6.0 L`
B. `0.60 L`
C. `1.365 L`
D. `0.91L`

Answer

D

Explanation

`2CH_3COONa +2 H_2O overset(2F) to C_2H_(6(g)) + 2CO_(2(g)) + 2NaOH + H_(2(g))`
` 2 xx 96500 CaCl to 4 ` moles of gases ,` (80)/(100) xx (0.5 xx 96.45 xx 60) CaCl to n ` gases =?
`n_("gases") = (80)/(100) xx (0.5 xx 96.45 xx 60 xx 4)/( 2 xx 96500) = 0.04797` moles of gases
`PV = nRT , V = (0.04797 xx 0.0821 xx 300 xx 760)/(740)`
` V_((C_2H_6 + CO_2 + H_2)) = 1.21L , V_((C_2H_6 + CO_2)) = 1.21 xx (3)/(4) = 0.91L`