Will a coolant leak cause white smoke?

Yes a coolant leak can definitely cause while smoke and a bad smell. This happens when the leaking coolant drips onto a hot part of the engine (ex. The exhaust manifold) The sounds you are hearing when you are accelerating are coming from your heater core. How the heater works is there are pipes (like a mini radiator) that carry coolant The blower blows air by these pipes (mini radiator) into your cabin. If there is a leak in the cooling system, this may introduce air bubbles into your cooling system. When this air rushes through the heater core you can hear that gurgling noise. What you want to do is make sure you aren’t running low on coolant (you don’t want your engine to overheat) and then get under the car and check for where the coolant leak is coming from. It may be leaking from the radiator, or the radiator hoses. Or from the engine itself.

Burning coolant will be white. White smoke coming out of the tailpipe, means you are also burning the coolant. This usually indicates a leaky head gasket.