At the transition temperature \(T\), \(A \rightleftharpoons B\) and \(\Delta G^\circ = 105 - 35\log T\), where \(A\) and \(B\) are two states of substance \(X\). The transition temperature in \(^{\circ}C\) when pressure is 1 atm is ______.
At the transition temperature \(T\), \(A \rightleftharpoons B\) and \(\Delta G^\circ = 105 - 35\log T\), where \(A\) and \(B\) are two states of substance \(X\). The transition temperature in \(^{\circ}C\) when pressure is 1 atm is ______.
Correct Answer: 727
Solution and Explanation
Concept: At the transition temperature between two phases: \[ \Delta G^\circ = 0 \]
Step 1:Apply condition \[ 105 - 35\log T = 0 \]
Step 2:Solve for \(T\) \[ 35\log T = 105 \] \[ \log T = 3 \] \[ T = 10^3 = 1000\ K \]
Step 3:Convert to Celsius \[ T = 1000 - 273 \] \[ = 727^\circ C \] \[ \boxed{727} \]
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