Which channel has a larger capacity

Question

Solve the following problem:

Channel C₁ is an additive white Gaussian noise channel with a bandwidth W, average transmitter power P, and noise power spectral density ½N₀. Channel C₂ is an additive Gaussian noise channel with the same bandwidth and power as channel C₁ but with noise power spectral density S_n( f ). It is further assumed that the total noise power for both channels is the same; i.e.,

∫^w_-w  S_n(ƒ)dƒ =  ∫^w_-w  1/2 N₀dƒ = N₀W

Which channel do you think has a larger capacity? Give an intuitive reasoning.