What is power density measured across a resistive load

Question

Assignment:

1. A power (Pv)dBm = -16 dBm is measured across a resistive load R_L = 500Ω for the signal v_L(t) = V₀ sin(2πƒ₀t) with frequency f0 = 500 Hz. Express the signal amplitude V0 in V and dBm, where(V₀)_dBm = 20 log₁₀(V₀)mV.

2. Let the source PSD of a two-terminal device, closed on a load, be

P_vi(ƒ) = V₀|ƒ/B| rect (ƒ/2B)

With (V₀)_v2 /K\kHz = 2V²/kHz and B= 750Hz. Knowing that the source impedance is ZS = 100 + j50 and that the system is matched, what is the average power Pv and the power density pv(f ) at the load?