Answer
$$V = 12.5 \space L$$
Work Step by Step
1. Since they are in the same flask, the volume is costant, so the ratio of number of moles is the same ratio of concentrations:
$$\frac{0.37 \space mol \space I}{1.00 \space mol \space I_2} = \frac{[I]}{[I_2]} = 0.37$$
$$[I] = 0.37[I_2]$$
2. Substitute into the Kc expression.
$$K_c = \frac{[I]^2}{[I_2]} = 1.1 \times 10^{-2}$$
$$1.1 \times 10^{-2} = \frac{(0.37[I_2])^2}{[I_2]}$$
$$1.1 \times 10^{-2} = 0.137[I_2]$$ $$[I_2] = 0.0803 \space M$$
3. Find the volume:
$$1.00 \space mol \space I_2 \times \frac{1 \space L}{0.0803 \space mol \space I_2} = 12.5 \space L$$
