## It is known that density ρ of air decreases with height y as 0ey/y00 Where ρ0 = 1.25kg m-3 is the density at sea level, and y0 is a constant. This density variation is called the law of atmospheres. Obtain this law assuming that the temperature of atmosphere remains a constant (isothermal conditions). Also assume that the value of gremains constant. A large He balloon of volume 1425 3 m is used to lift a payload of 400 kg. Assume that the balloon maintains constant radius as it rises. How high does it rise? [Take y0= 8000 m and = 0.18 kg m-3 ].

It is known that density ρ of air decreases with height y as 0ey/y00 Where ρ0 = 1.25kg m-3 is the density at sea level, and y0 is a constant. This density variation is called the law of atmospheres. Obtain this law assuming that the Read More …