¿Cuál es la ecuación balanceada de C6H6 + O2 = CO2 + H2O?

Respuesta

#color(red)2C_6H_6+color(red)15O_2 =color(red)12CO_2+color(red)6H_2O#

Explicación:

Deja que las variables #color(red)(p, q, r, s)# representar enteros tales que:
#color(white)("XX")color(red)p * C_6H_6 +color(red)q * O_2 = color(red)r * CO_2 +color(red)s * H_2O#

Considerando el elemento #C#, tenemos:
#color(white)("XX")color(red)p * 6 =color(red)r * 1#
#color(white)("XXXX")rarr color(red)r = 6color(red)p#

Considerando el elemento #H#, tenemos:
#color(white)("XX")color(red)p * 6 = color(red)s * 2#
#color(white)("XXXX")rarr color(red)s = 3color(red)p#

Considerando el elemento #O#, tenemos:
#color(white)("XX")color(red)q * 2 = color(red)r * 2 + color(red)s * 1 = 12color(red)p +3color(red)p = 15color(red)p#
#color(white)("XXXX")rarr color(red)q=(15/2)color(red)p#

El valor más pequeño de #color(red)p > 0# para cual #color(red)q# es un entero es:
#color(white)("XX")color(red)p=color(red)2#
#color(white)("XXXX")rarr {color(red)q=color(red)15; color(red)r=color(red)12; color(red)s=color(red)6}#


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