Exploring Venus. The surface pressure on Venus is 92 atm, and the acceleration due to gravity there is 0.894 g. In a future exploratory mission, an upright cylindrical tank of benzene is sealed at the top but still pressurized at 92 atm just above the benzene. The tank has a diameter of 1.72 m, and the benzene column is 11.50 m tall. Ignore any effects due to the very high temperature on Venus. (a) What total force is exerted on the inside surface of the bottom of the tank? (b) What force does the Venusian atmosphere exert on the outside surface of the bottom of the tank? (c) What total inward force does the atmosphere exert on the vertical walls of the tank?

Solution 22E Step 1 of 3: a) Pressure at the bottom of the tank p = p + gh 0 5 3 3 2 = 92 × 1.013 × 10 pa + 0.9 × 10 kg/m × 0.894 × 9.8 m/s × 11.5 m = 9.32 × 10 pa + 9.07 × 10 pa 6 = 9.41 × 10 pa The force on an area A due to pressure p is F = pA D2 D2 = p 4 (since The area of the bottom of the tank is 4 ) 6 2 = 9.41×10 pa×3.14×(1.72 m) 4 7 = 2.19 × 10 N Step 2 of 3: (b) The air pressure at the outside surface of the bottom of the tank, p = p0 = 92 × 1.013 × 10 pa 6 = 9.32 × 10 pa The force on an area A due to pressure p is F = pA D2 D2 = p 4 (since The area of the bottom of the tank is 4 ) 6 2 9.32×10 pa×3.14×(1.72 m) = 4 7 = 2.17 × 10 N