At the transition temperature T , A B and G^0 = 105 - 35 T where A and B are two states of substance X . The transition temperature in ° C when pressure is 1 atm is _______. (Nearest integer)

Step-by-step solution

At the transition temperature and 1 atm pressure, the two states A and B are in equilibrium. For a phase transition of a pure substance at 1 atm, both states are in their standard states, so the reaction quotient Q = 1 . Using the relation G = G^0 + RT Q , we get G = G^0 . At equilibrium, G = 0 , which implies G^0 = 0 . Given G^0 = 105 - 35 T , we can equate it to zero: 105 - 35 T = 0 35 T = 105 T = 3 T = 10^3 = 1000 K Converting the temperature to Celsius: T(^ C ) = 1000 - 273 = 727^ C Answer: 727