Styrene is produced by catalytic dehydrogenation of ethyl- benzene at high temperature in the presence of superheated steam.
Given the following data,
Ethylbenzene, C6H5--CH2CH3 :
delta Ht = -12.5 kJ/mol,
delta Gt = 119.7 kJ/mol and
S = 255 J/mol*K
Styrene, C6H5--CH==CH2 :
delta Ht = 103.8 kJ/mol,
delta Gt = 202.5 kJ/mol
and S = 238 J/mol*K
(a) Find ÄH°rxn, ÄG °rxn, and ÄS °rxn, given these data at 298 K: answer 116.3 kj, 82.8 kj, 114 j/k
(b) At what temperature is the reaction spontaneous? answer 747C
C)What are Delta G (answer 16.8 kj/m )
and K at 600 degrees?
Note: I only need help with K at 600 degrees. Thank you.
I thought it was 9.9 x 10^2 but it was marked wrong
I get 0.0988. I think you dropped the - sign AND you are allowed more than two significant figures in the answer.
To determine the value of K at 600 degrees for the reaction, we need to use the equation:
ΔG = -RT ln(K)
Where ΔG is the change in Gibbs free energy, R is the gas constant (8.314 J/mol*K), T is the temperature in Kelvin, and K is the equilibrium constant.
First, convert the temperature from Celsius to Kelvin:
600°C + 273.15 = 873.15 K
Now, rearrange the equation and solve for K:
K = e^(-ΔG /RT)
Substituting the given values:
ΔG = 16.8 kJ/mol = 16,800 J/mol
R = 8.314 J/mol*K
T = 873.15 K
K = e^(-16,800 / (8.314 * 873.15))
Using a calculator or mathematical software, calculate the value of K, which is approximately 4.52 x 10^-42.
Therefore, the value of K at 600 degrees is approximately 4.52 x 10^-42.
To find K at 600 degrees, we can use the equation:
ΔG° = -RTln(K)
where ΔG° is the standard Gibbs free energy change, R is the gas constant (8.314 J/mol·K), T is the temperature in Kelvin, and K is the equilibrium constant.
First, we need to convert the temperature to Kelvin:
600 degrees Celsius = 873 Kelvin
Now we can rearrange the equation to solve for K:
K = e^(-ΔG° / RT)
Substituting the values:
ΔG° = 16.8 kJ/mol = 16,800 J/mol
R = 8.314 J/mol·K
T = 873 K
K = e^(-16,800 / (8.314 * 873))
Calculating this expression:
K ≈ 2.43 × 10^-3
Therefore, the equilibrium constant (K) at 600 degrees Celsius is approximately 2.43 × 10^-3.