|MLA Citation:||Bloomfield, Louis A. "Question 631"|
How Everything Works 20 Apr 2018. 20 Apr 2018 <http://howeverythingworks.org/print1.php?QNum=631>.
At room temperature, air weighs about 12.2 newtons per cubic meter (0.078 pounds per cubic foot). But air's density and weight are proportional to its temperature on an absolute temperature scale (in which absolute zero is the zero of temperature). At 200° F, air weighs about 20% less than at room temperature, or about 9.7 newtons per cubic meter (0.062 pounds per cubic foot). Thus each cubic meter of 200° F air inside the balloon makes the balloon 2.5 newtons lighter than the air it displaces (or each cubic foot of that hot air makes it 0.016 pounds lighter). If the balloon's envelope, basket, and occupants weigh 4000 newtons (900 pounds), then the balloon will have to contain about 1600 cubic meters (56,000 cubic feet) of hot air in order to float upward.