I have a Master's Degree from MIT,
Then our nation is in trouble and we all deserve a refund. As to JV, I have never once seen him have anything but a most agreeable and contributory attitude to any post I've read!
As to weight being a force, that is not quite true. A "force" is some energy state (kinetic or potential) applied or transferred to another object from another, such as when a baseball bat hits the ball and changes its direction of flight. A force was applied to the ball. Weight is an /effect/ of a unit measurement of a fixed mass within a constant gravity. Take away the gravity and while the mass remains the same, where has the weight gone? The "force" has disappeared. Change the gravity and you change the weight. A little semantical I know, but the "force" in a mass's weight is the /gravity/ upon it, not the mass itself, so the weight is actually just the force of gravity /applied to/ or affecting the mass, not any native energy within or coming from the mass itself. Holding up a car, it is not the car's mass that is applying any force to the ground below but the gravitational field itself that the car is in. Gravity is the force, and weight is merely a unit of measurement of mass.
Getting back to the original smoke question, you have but to measure the pile of tobacco both before and after smoking--- the difference in weight is what was lost via smoking, hence, the weight of the smoke, particulate, gas and vapor combined. That allows for the infinitesimal amount that went towards building up the cake. Scrape well.