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Consider the reaction 3 C H 4 ( g ) ? C 3 H 8 ( g ) + 2 H 2 ( g ) . Part A Using

ID: 800212 • Letter: C

Question

                                                                          Consider the reaction 3CH4(g)?C3H8(g)+2H2(g).                                                                                                     Part A                                                       Using data from Appendix C in the textbook, calculate ?G? at 298 K.                                                       Express your answer using four significant figures..                                                                                                                                              
                                                             
                                                                                                              ?G? =                                                                                                                                                   128.9                                                                                                                                               kJ                                             
                                                                     Part B                                                                                                       Calculate ?G at 298 K if the reaction mixture consists of 41atm of CH4, 0.014atm of C3H8, and                                     2.0                                                                           Consider the reaction 3CH4(g)?C3H8(g)+2H2(g).                                                                                                                     Consider the reaction 3CH4(g)?C3H8(g)+2H2(g).                                                                           Consider the reaction 3CH4(g)?C3H8(g)+2H2(g).                                              Part A                                      Using data from Appendix C in the textbook, calculate ?G? at 298 K.                                      Express your answer using four significant figures..                                                                      128.9                                                                                      Part B                                                                      Calculate ?G at 298 K if the reaction mixture consists of 41atm of CH4, 0.014atm of C3H8, and                                     2.0                                 
                                                             
                                                                                                              ?G? =                                                                                                                                                   128.9                                                                                                                                               kJ                                             
                                                                     Part B                                                                                                       Calculate ?G at 298 K if the reaction mixture consists of 41atm of CH4, 0.014atm of C3H8, and                                     2.0

Explanation / Answer

dGo = dG o products - dGo reactants


dGo = 2 x dGo H2 + dGo C3H8 - 3 x dGo CH4


dGo = 2 x 0 - 24.29 + 3 x 50.45



dGo = 127.06 kJ



B) 3 CH4 -------> C3H8 + 2H2


we know that



dG = dGo + RT lnkP


dG = dGo + RT ln [ H2]2 [ C3H8] / [ CH4]3


dG = 127.06 + 8.314 x 298 x ln 0.014 x 4 x 10-4 / 68921


dG = 69.50



dG at 298 K is 69.50 kJ /mol



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