Answer to Question #150278 in Physics for Khan Asf

Question

A balloon with a volume of 1000m^3 has a shell with a mass of 160kg. The ball is filled with hot air at a temperature of 90°С. Outside air temperature 15°С. The shell of the ball is inextensible and has a hole in the lower part. Outside pressure is equal to normal atmospheric pressure. What is the maximum weight this ball can lift?

Answer 1

$$W=\Delta \rho gV-mg\\ \\W=(1.225-0.97335)(1000)(9.8)-(160)(9.8)\\=898\ N$$