contestada

Enter your answer in the provided box. High levels of ozone (O3) make rubber deteriorate, green plants turn brown, and cause people to have difficulty breathing. Calculate ΔG at 298 K for the formation of 1 mole of O3 from O2 in urban smog, where [O2] = 0.210 atm and [O3] = 5.00 × 10−7 atm.

Respuesta :

boffeemadrid

Answer:

[tex]\Delta G=133053.681574\ J[/tex]

Explanation:

T = Temperature = 298 K

[tex]n_{O_3}=1\ mole[/tex]

[tex][O_2]=0.21\ atm[/tex]

[tex][O_3]=5\times 10^{-7}\ atm[/tex]

Reaction quotient is given by

[tex]Q=\dfrac{P(O_3)}{P(O_2)^{1.5}}\\\Rightarrow Q=\dfrac{5\times 10^{-7}}{(0.21)^{1.5}}\\\Rightarrow Q=0.00000519566405324[/tex]

[tex]\Delta G^{\circ}=1\times\Delta G_f^{\circ}O_3-1.5\Delta G_f^{\circ}O_2\\\Rightarrow \Delta G^{\circ}=1\times 163.2-1.5\times 0\\\Rightarrow \Delta G^{\circ}=163.2\ kJ[/tex]

We know that

[tex]\Delta G=\Delta G^{\circ}+RTlnQ\\\Rightarrow \Delta G=163200+(8.314\times 298)\times ln(0.00000519566405324)\\\Rightarrow \Delta G=133053.681574\ J[/tex]

[tex]\Delta G=133053.681574\ J[/tex]

Otras preguntas