At the transition temperature $\mathrm{T}$, $\mathrm{A} \rightleftharpoons \mathrm{B}$ and $\Delta \mathrm{G}^{0}=105-35 \log \mathrm{~T}$ where A and B are two states of substance X. The transition temperature in $^{\circ} \mathrm{C}$ when pressure is 1 atm is ______. (Nearest integer)

JEE Main · 2026 · 02 Apr 2026 · Shift 1 · Chemical Thermodynamics

At the transition temperature

T

A ⇌ B

and

Δ G^{0} = 105 - 35 lo g T

where A and B are two states of substance X. The transition temperature in

^{\circ} C

when pressure is 1 atm is ______. (Nearest integer)

Answer: 727

At the transition temperature the two states are in equilibrium at

1 atm

, so

Δ G^{0} = 0

. Setting

105 - 35 lo g T = 0

gives

lo g T = 3

, hence

T = 1 0^{3} = 1000 K

. Converting to the Celsius scale,

T = 1000 - 273 = 72 7^{\circ} C

JEE Main · 2026 · 02 Apr 2026 · Shift 1 · Integer answer