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Topic: Spontaneity part 2 of question  (Read 4373 times)

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Offline granite350

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Spontaneity part 2 of question
« on: April 11, 2006, 01:47:39 PM »
4.  Spontaneity.  1) Use thermodynamics to prove that the reaction shown below is non-spontaneous at room temperature (25 °C).  2) Calculate the temperature at which the reaction would just begin to become spontaneous. This topic is discussed on pages 779 - 783 [814 - 819] in the textbook.

MgCl2(s)  +  H2O(l)  ?  MgO(s)  +  2 HCl(g)

I got the first part of the question but can't seem to get the 2 nd part.  how would i go about this would i have to use the equation

change in G=change H-T*change in S

but how would i go about solving T if all the parts of the varibles of the equation were solved at 25 degrees C (298 K)

for part one i got change of H=141.78 the reaction is endothermic because it is positive

for change in G= 69.7 when g is a large positive number larger than 10KJ the reaction is non spontaneous.

how would i go about solving T???

Offline Albert

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Re: Spontaneity part 2 of question
« Reply #1 on: April 11, 2006, 02:06:38 PM »
Standard dH and dS of reaction are expressed in kJ/mol and in J/K*mol, so you can use them for working out the temperature:

0>dH-TdS

Offline granite350

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Re: Spontaneity part 2 of question
« Reply #2 on: April 11, 2006, 05:08:08 PM »
what does each variable represent???

in that equation albert

Offline granite350

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Re: Spontaneity part 2 of question
« Reply #3 on: April 11, 2006, 05:21:25 PM »
the formula I used was (change in H)/T-(change in S)<0

then i worked out the equation to 141.78Kj for H and .240 for S

this is what  did

[141.78KJ/Temperature]-.240Kj/K<0

T=590.75K

Offline Albert

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Re: Spontaneity part 2 of question
« Reply #4 on: April 12, 2006, 07:14:18 AM »
dH - TdS < 0

141.78 - T*0.24 < 0

141.78/0.24 < T

T = 590.75 K

In a nutshell, you solved the problem. :)

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