Question

In: Chemistry

Given the values of ?H?rxn, ?S?rxn, and Tbelow, determine ?Suniv. Also, predict whether each reaction will...

Given the values of ?H?rxn, ?S?rxn, and Tbelow, determine ?Suniv. Also, predict whether each reaction will be spontaneous or nonspontaneous

A)?H?rxn= 86kJ , ?Srxn= 142J/K , T= 308K

Express your answer using two significant figures.

B)?H?rxn= 86kJ , ?Srxn= 142J/K , T= 762K

Express your answer using one significant figure.

C)?H?rxn= 86kJ , ?Srxn=? 142J/K , T= 308K

Express your answer using one significant figure.

D)?H?rxn=? 86kJ , ?Srxn= 142J/K , T= 404K

Express your answer using one significant figure.

Solutions

Expert Solution

A.Given DeltaH(rxn) = 86KJ, DeltaS(rxn) = 142J/K = 142Jx(1kJ/1000J)/K = 0.142kJ/K

T = 308K.

Now DeltaG(rxn) can be calculated as

DeltaG(rxn) =  DeltaH(rxn) - TxDeltaS(rxn) = 86KJ - 308Kx(0.142kJ/K) = +42.26 KJ

For a reaction to be spontaneous, DeltaG(rxn) should be negative. Since DeltaG(rxn) for the above reaction is positive, hence the reaction is nonspontaneous.

Now DeltaS(universe) can be calculated as

DeltaG(rxn) = - TxDeltaS(universe)

=> DeltaS(universe) = - DeltaG(rxn) / T = - (+42.26 KJ) / 308K = - 0.137kJ/K = -140J/K (upto 2 SF, answer)

B: Given DeltaH(rxn) = 86KJ, DeltaS(rxn) = 142J/K = 142Jx(1kJ/1000J)/K = 0.142kJ/K

T = 762K.

Now DeltaG(rxn) can be calculated as

DeltaG(rxn) =  DeltaH(rxn) - TxDeltaS(rxn) = 86KJ - 762Kx(0.142kJ/K) = - 22.2 KJ

For a reaction to be spontaneous, DeltaG(rxn) should be negative. Since DeltaG(rxn) for the above reaction is negative, hence the reaction is spontaneous.

Now DeltaS(universe) can be calculated as

DeltaG(rxn) = - TxDeltaS(universe)

=> DeltaS(universe) = - DeltaG(rxn) / T = - ( - 22.2 KJ) / 762K = + 0.029kJ/K = +30J/K (upto 1 SF, answer)

C. This is same as A, and the only difference is that here we need to find the answer in 1 SF.

Given DeltaH(rxn) = 86KJ, DeltaS(rxn) = 142J/K = 142Jx(1kJ/1000J)/K = 0.142kJ/K

T = 308K.

Now DeltaG(rxn) can be calculated as

DeltaG(rxn) =  DeltaH(rxn) - TxDeltaS(rxn) = 86KJ - 308Kx(0.142kJ/K) = +42.26 KJ

For a reaction to be spontaneous, DeltaG(rxn) should be negative. Since DeltaG(rxn) for the above reaction is positive, hence the reaction is nonspontaneous.

Now DeltaS(universe) can be calculated as

DeltaG(rxn) = - TxDeltaS(universe)

=> DeltaS(universe) = - DeltaG(rxn) / T = - (+42.26 KJ) / 308K = - 0.137kJ/K = -100J/K (upto 1 SF, answer)

D.Given DeltaH(rxn) = 86KJ, DeltaS(rxn) = 142J/K = 142Jx(1kJ/1000J)/K = 0.142kJ/K

T = 404K.

Now DeltaG(rxn) can be calculated as

DeltaG(rxn) =  DeltaH(rxn) - TxDeltaS(rxn) = 86KJ - 404Kx(0.142kJ/K) = +28.63 KJ

For a reaction to be spontaneous, DeltaG(rxn) should be negative. Since DeltaG(rxn) for the above reaction is positive, hence the reaction is nonspontaneous.

Now DeltaS(universe) can be calculated as

DeltaG(rxn) = - TxDeltaS(universe)

=> DeltaS(universe) = - DeltaG(rxn) / T = - (+28.63 KJ) / 404K = - 0.070kJ/K = -70J/K (upto 1 SF, answer)


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