Short Answer is Yes but don't mix brands
Long answers
From the Chevron.com site:
"Can I mix different viscosity grades of motor oils?"
"Yes. It is always advisable to not mix motor oil brands, however, different viscosity grades of the same brand motor oil are compatible. Be aware that mixing viscosity grades will turn out a product that is different in viscosity than either what was originally in the engine or what was added."
From Shell.ca:
"If you mix viscosity grades such as a 5W30 low-viscosity oil and a 10W40 higher-viscosity oil, it is reasonable to expect that the resulting product will have viscosity characteristics which are thicker than the 5W30, but thinner than the 10W40. This change does not reflect incompatibility - it's simply a re-balancing of the viscosity characteristics. In all other ways, the product should work as expected. But there's absolutely no danger about incompatibility resulting from mixing engine oils," Miller says. "We've tested all of our grades and brands, and we haven't observed any problems."
From Mobil1.com:
"For our customers to choose a viscosity grade, we recommend they follow the engine manufacturer's recommendations as indicated in their owner's manual. There is no need to mix two Mobil 1 viscosity grades when one will do; however, we see no problem mixing different SAE grades of Mobil 1 Tri-Synthetic series motor oils."
They have different Viscosities which does not allow the two to mix.
Oil and water do not mix regardless of whether they are heated or not. Oil is less dense than water and has different polarities, causing them to remain separate and not form a homogeneous mixture. Heating them might change their viscosities but will not make them mix.
Crude oil is the oil from the well. Motor oil has been processed. The motor oil must have certain properties, such as viscosity and density, and it can not contain any contaminants, such as sulfur. Crude oil is unrefined oil, and it has a wide range of viscosities and densities, and may contain contaminants.
Yes, you can mix conventional oil with synthetic oil with no problem.
Yes
It is a gas/oil mix motor, you don't change the oil.
Nothing happens, they just mix. You can buy "blended" motor oil.
Motor oil is insoluble in water and it is denser in water. Therefore, motor oil will not mix with water. It will remain separate.
Yes, and you can even mix them together.
yes very
No, you can even mix synthetic with conventional oil. It will do no harm at all.
That's okay.