On the basis of thermochemical equations (1), (2) and (3), find out which of the algebraic relationships given in options (A) to (D) is correct. (1) C_("(graphite)") + O_(2(g)) to CO_(2(g)) , Delta_(r) H= x "kJ mol"^(-1) (2) C_("(graphite)") + (1)/(2) O_(2(g)) to CO_((g)) , Delta_(r ) H= y "kJ mol"^(-1) (3) CO_((g)) + (1)/(2) O_(2(g)) to CO_((g)) , Delta_(r) H= z "kJ mol"^(-1)

On the basis of thermochemical equations (1), (2) and (3), find out wh

1.	On the basis of thermochemical equations (1), (2) and (3), find out which of the algebraic relationships given in options (A) to (D) is correct. (1) C_("(graphite)") + O_(2(g)) to CO_(2(g)) , Delta_(r) H= x "kJ mol"^(-1) (2) C_("(graphite)") + (1)/(2) O_(2(g)) to CO_((g)) , Delta_(r ) H= y "kJ mol"^(-1) (3) CO_((g)) + (1)/(2) O_(2(g)) to CO_((g)) , Delta_(r) H= z "kJ mol"^(-1)
Answer» `z= x+y` `x=y-z` `x=y+z` `y=2x-z` Solution :The algebraic relationships of the GIVEN reaction is equation (A) -equation (B) = equation ( C) (a) `C_("(graphite)") + O_(2(g)) , Delta_(R) H= x "kJ MOL"^(-1)` (b) `(C_("(graphite)") + (1)/(2) O_(2(g)) to CO_(2(g)) , Delta_(r) H = x "kJ mol"^(-1) )/(CO_((g)) + (1)/(2) O_(2(g)) to CO_(2(g)) , Delta_(r) H = z "kJ mol"^(-1) ) ` Hence, `x-y - z " or " x=y+z`