Given:
`C_(("Graphite"))+O_(2(g))toCO_(2(g)), Delta_rH^@=-393.5 kJ mol^-1
H_(2(g))+1/2 O_(2(g)) to H_2O_((l)), Delta_rH^@=-285.8 kJ mol^-1`
`CO_(2(g))+2H_2O_((l)) to CH_(4(g))+2O_(2(g)), Delta_r H^@=+890.3 kJ mol^-1` Based on the above thermochemical equations, the value of `Delta_r H^@` at 298 K for the reaction `C_(("graphite")) + 2H_(2(g)) to CH_(4(g))` will be _________ .

Options

A. `+74.8 kJ mol^-1`
B. `+144.0 kJ mol^-1`
C. `-74.8 kJ mol^-1`
D. `-144.0 kJ mol^-1`

Answer

C