You have a helium balloon at 1.00atm and 25 degrees C. You want to make a hot air balloon with the same volume and same lift as the helium balloon. Assume air is 79% nitrogen, 21% oxygen by volume. The "lift" of a balloon is given by the difference between the mass of air displaced by the balloon and the mass of gas inside the balloon.
a) Will the temperature in the hot air balloon have to be higher or lower than 35 degrees C? Explain.
b) Calculate the temperature of the air required for the hot air balloon to provide the same lift as the helium balloon at 1.00atm and 25 degrees C.
Assume atmospheric conditions are 1atm and 25 degrees C.