Chemistry Question from JEE Main 2025 · 8 April, Shift 2

Consider the following half cell reaction

$$Cr_2O_7^{2-} (aq) + 6e^- + 14H^+ (aq) \longrightarrow 2Cr^{3+} (aq) + 7H_2O(1)$$

The reaction was conducted with the ratio of

$$\frac{[Cr^{3+}]^2}{[Cr_2O_7^{2-}]} = 10^{-6}$$

The pH value at which the EMF of the half cell will become zero is _____ (nearest integer value)

[Given : standard half cell reduction potential

E^\circ_{Cr_2O_7^{2-}, H^+/Cr^{3+}} = 1.33V, \quad \frac{2.303RT}{F} = 0.059V $$](streamdown:incomplete-link)