PVC and hot water are a No-No, and I don't think PVC is supposed to be use for drinking water supply lines (hot or cold). I believe CPVC works for both of these tasks however. PVC is OK for waste lines (drains, sewage) or outdoor sprinkler lines. I believe the solvents and glues used are different for PVC and CPVC too (but I'm not 100% sure about that). I don't think you should mix the two types of pipe in the same line either, although I don't know why it would matter in a waste line.
PVC is white or dark gray. CPCV is off-white, light gray, or yellow. The pipe looks pretty white to me in your pictures, but photographic exposure or editing in PhotoShop could have changed that.