The volume is directly proportional to the absolute temperature so the answer is A.
<u>Answer:</u> The
of the reaction at given temperature is -12.964 kJ/mol.
<u>Explanation:</u>
For the given chemical reaction:
![CH_3OH(g)\rightleftharpoons CO(g)+2H_2(g)](https://tex.z-dn.net/?f=CH_3OH%28g%29%5Crightleftharpoons%20CO%28g%29%2B2H_2%28g%29)
The expression of
for the given reaction:
![K_p=\frac{(p_{CO})\times (p_{H_2}^2)}{p_{CH_3OH}}](https://tex.z-dn.net/?f=K_p%3D%5Cfrac%7B%28p_%7BCO%7D%29%5Ctimes%20%28p_%7BH_2%7D%5E2%29%7D%7Bp_%7BCH_3OH%7D%7D)
We are given:
![p_{CO}=0.140atm\\p_{H_2}=0.180atm\\p_{CH_3OH}=0.850atm](https://tex.z-dn.net/?f=p_%7BCO%7D%3D0.140atm%5C%5Cp_%7BH_2%7D%3D0.180atm%5C%5Cp_%7BCH_3OH%7D%3D0.850atm)
Putting values in above equation, we get:
![K_p=\frac{(0.140)\times (0.180)^2}{0.850}\\\\K_p=5.34\times 10^{-3}](https://tex.z-dn.net/?f=K_p%3D%5Cfrac%7B%280.140%29%5Ctimes%20%280.180%29%5E2%7D%7B0.850%7D%5C%5C%5C%5CK_p%3D5.34%5Ctimes%2010%5E%7B-3%7D)
To calculate the Gibbs free energy of the reaction, we use the equation:
![\Delta G=\Delta G^o+RT\ln K_p](https://tex.z-dn.net/?f=%5CDelta%20G%3D%5CDelta%20G%5Eo%2BRT%5Cln%20K_p)
where,
= Gibbs' free energy of the reaction = ?
= Standard gibbs' free energy change of the reaction = 0 J (at equilibrium)
R = Gas constant = ![8.314J/K mol](https://tex.z-dn.net/?f=8.314J%2FK%20mol)
T = Temperature = ![25^oC=[25+273]K=298K](https://tex.z-dn.net/?f=25%5EoC%3D%5B25%2B273%5DK%3D298K)
= equilibrium constant in terms of partial pressure = ![5.34\times 10^{-3}](https://tex.z-dn.net/?f=5.34%5Ctimes%2010%5E%7B-3%7D)
Putting values in above equation, we get:
![\Delta G=0+(8.314J/K.mol\times 298K\times \ln(5.34\times 10^{-3}))\\\\\Delta G=-12963.96J/mol=-12.964kJ/mol](https://tex.z-dn.net/?f=%5CDelta%20G%3D0%2B%288.314J%2FK.mol%5Ctimes%20298K%5Ctimes%20%5Cln%285.34%5Ctimes%2010%5E%7B-3%7D%29%29%5C%5C%5C%5C%5CDelta%20G%3D-12963.96J%2Fmol%3D-12.964kJ%2Fmol)
Hence, the
of the reaction at given temperature is -12.964 kJ/mol.
Answer:
46
Explanation:
Sodium metal has a molar mass of
22.99
Answer: 16 atm
Explanation:
P1V1 = P2V2
P2 = P1V1/V2
=4 atm x 8.00 L/2.00L = 16 atm
Answer:
![\%\ Error = 21.5\%](https://tex.z-dn.net/?f=%5C%25%5C%20Error%20%3D%2021.5%5C%25)
Explanation:
Given
![Measured = 24.5](https://tex.z-dn.net/?f=Measured%20%3D%2024.5)
![Actual = 31.2](https://tex.z-dn.net/?f=Actual%20%3D%2031.2)
Required
Determine the percentage error
First, we need to determine the difference in the measurement
![Difference = |Actual - Measured|](https://tex.z-dn.net/?f=Difference%20%3D%20%7CActual%20-%20Measured%7C)
![Difference = |31.2 - 24.5|](https://tex.z-dn.net/?f=Difference%20%3D%20%7C31.2%20-%2024.5%7C)
![Difference = |6.7|](https://tex.z-dn.net/?f=Difference%20%3D%20%7C6.7%7C)
![Difference = 6.7](https://tex.z-dn.net/?f=Difference%20%3D%206.7)
The percentage error is calculated as thus:
![\%\ Error = \frac{Difference * 100\%}{Actual}](https://tex.z-dn.net/?f=%5C%25%5C%20Error%20%3D%20%5Cfrac%7BDifference%20%2A%20100%5C%25%7D%7BActual%7D)
![\%\ Error = \frac{6.7 * 100\%}{31.2}](https://tex.z-dn.net/?f=%5C%25%5C%20Error%20%3D%20%5Cfrac%7B6.7%20%2A%20100%5C%25%7D%7B31.2%7D)
![\%\ Error = \frac{670\%}{31.2}](https://tex.z-dn.net/?f=%5C%25%5C%20Error%20%3D%20%5Cfrac%7B670%5C%25%7D%7B31.2%7D)
![\%\ Error = 21.4743589744\%](https://tex.z-dn.net/?f=%5C%25%5C%20Error%20%3D%2021.4743589744%5C%25)
<em>approximated</em>