Help with Entropy Homework: A+B to D, Heat & Exothermic?

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SUMMARY

The discussion focuses on calculating the entropy change and heat transfer for the reaction A + B → D at a temperature of 300K. The molar heat capacities are defined as CA = 5√T, CB = 8√T, and CD = 12√T. The entropy change is determined using the equation ΔS = ∫ Cp dT / T, leading to a calculation of Q = -1(sqrt300) * 300, indicating that the reaction is exothermic due to the negative heat transfer value.

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Homework Statement


if i have reaction A + B --> D

if i produce 1 mol of D, what is the entropy change?
how much heat is transferred?
is this exothermic or endothermic?

Homework Equations



reaction carried out at T = 300K,

molar heat capacities(constant Pressure),

CA = 5sqrt(T)
CB = 8sqrt(T)
CD = 12sqrt(T)

The Attempt at a Solution



change in s = ∫ dQ / T right?

so ∫ Cp dT /T

but what are my limits for my Temperature?

is it right to say since they equalize at some temperature, i don't need to know my upper bound?

so i take CD - (CB + CA) to get -1sqrt(T) ?

so Q = CpT = -1(sqrt300) * 300

so since it is -ve, heat is released, and reaction is exothermic?

thanks
 
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