In: Chemistry
For the reaction below, determine the equilibrium partial
pressure (in atm) of HBr at 252.70 K if the initial pressure of
H2 is 2.83 atm. Assume that ΔH and ΔS do not vary with
temperature. Report your answer to three significant figures.
LiBr (s) + H2 (g) ⇌ LiH (s) + HBr
(g)
ΔHf° (kJ/mol) | S° (J mol-1 K-1) | ||
LiBr | -351.20 | 74.30 | |
H2 | 0.00 | 130.68 | |
LiH | -90.50 | 20.00 | |
HBr | -36.29 | 198.70 |
for the question first we need to find the values of r and r
i.e enthalpy of the reaction and the entropy of the reaction respectively.
r = (Sum of the enthalpies of the products) - (sum of the enthalpies of the reactants)
= {(-90.50)+(-36.29)} - {(-351.20)}
=224.41KJ/mol
now to calculate r we follow the same procedure,
r = (sum of the entropies of products) - (sum of entropies of the reactants)
={(20+198.70)} - {(74.30+130.68)}
=13.72
now we calculate the value of
i.e Gibbs free energy
= (224.41 X 1000) - (252.7X13.72)
=220942.956
using this we calculate the value of K
therefore,
therefore we konw that K=Kp
hence Kp= {partial presssure of (HBr)} / {partial pressure of (H2)}
therefore partial pressure of HBr atm