it depends on the precipitation rate of the sprinkler heads and the percolation rate of the soil. You are going to have to turn on the sprinklers and run them until you have runoff. Then figure out how much water you havelaid down on the hill. If you know how much water you need a week, it's simple division. Run the sprinklers a little less than the duration that caused runoff.

I recommend that you get some MP Rotator heads for those popups. They were designed for hillside irrigation and have a very low precipitation rate thus minimizing runoff.

also, with that head layout, you are going to have very uneven irrigation.