The following questions are related to a chemical reaction with participating sp

Question

The following questions are related to a chemical reaction with participating species i (i = 1, 2, 3, ..., k) and stoichiometric coefficient v_i. Write the expressions of Delta H degree and Delta C_p degree in terms of H_m, i degree and C_p m/s degree respectively. For the reaction occurring at 300 K, the changes of standard enthalpy and heat capacity are denoted as Delta H degree (300) and Delta C_p degree (300). Derive the expression of Delta H degree (T) in terms of Delta H degree (300) and the temperature independent reaction heat capacity. Use Delta G degree (300) and the result in (b) to derive the expression of ln K_P degree (600).

Explanation / Answer

For a reaction V1A1+V2A2+V3A3 +V4A4 + + ------------> V5B1+V6B2 +V7B3 +V8 B4+ +

Enthalppy change = V5HB1 + V6HB2 +V7HB3 + V8HB4- ( V1HA1+ V2HA2+ V3HA3+ V4HA4+ ----)

H indicates enthalpy

similalrry Change in heat capacity = Sume of specific heats of products- sum of specific heats of reactants

V5CB1 + V6CB2 +V7CB3 + V8CB4- ( V1CA1+ V2CA2+ V3CA3+ V4CA4+ ---- )

where C is heat capacity

b)

Cp= (dH/dT)P

If heat capacity Cp is not a function of temperature

deltaH( T)= deltaH(300)+

since Cp is independent of temperature, the equation becomes

deltaH( T)= deltaH(300)+ Cp(T-300)

c) deltaG300= -RTlnK300

d(lnK)/dT= deltaH/ RT2

when integrated

ln (K600/K300)= deltaH/R*(1/300-1/600)

K 600 is equilibrium constnat at 600 K.

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