Suppose a table tennis ball has a diameter of 3.95 cm. Calculate the depth, in kilometers, to which Avogadro’s number of table tennis balls would cover the Earth. Assume the space between balls adds an extra 25.0% to their volume and assume they are not crushed by their own weight. The radius of Earth is 6.376 × 106 m.

Do it

Local authorities of Ankara built a basin as cylindrical tank with an upper diameter D1 = 1500m, lower diameter D2 = 750m and height H = 25m, in Ankara as shown in the figure. Nowadays we face out drought periods, the water height in the basin is at the level of 9 m. This value should not fall below 5 m (critical point). Regional officials estimate that the consumption rate in the city is 71620 m / day from the pipe with 2 m in diameter, and the water inlet flow rate from various source (rainfall, current) to the basin will be 150000 m3/ day. The independent variable shows the time in t days, and how long does the water level in the tank (basin) reach the critical value?(ρ = 1000kg / m3)

An air bubble has a volume of 1.60 cm3 when it is released by a submarine 115 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume the temperature and the number of air molecules in the bubble remain constant during its ascent.

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The small capillaries in the lungs are in close contact with the alveoli. A red blood cell takes up oxygen during the 0.5 s that it squeezes through a capillary at the surface of an alveolus. What is the diffusion time for oxygen across the 1-μm -thick membrane separating air from blood? Assume that the diffusion coefficient for oxygen in tissue is 2×10^−11 m2/s. Give your answer to 1 significant figure.

A fixed amount of gas occupies a volume of 1.75L and exerts a pressure of 95kpa on the walls of its container . What would be the pressure exerted by the gas if it's completely transferred into a new container having a volume of 0.5L(assuming the temperature and quantity of gas remains constant)

The concentration of a frictionless fluid flowing through a channel is measured with a diffusion constant, D = 4.5E-3 m2/s at room temperature. The radius and length of the channel are given as r = 9.2E-2 m and 2.2 m, respectively. Hint: (KB = 1.3806E-23 m2.kg.s-2.K-1, T = 273 K).(a) Calculate the gradient of concentration of the fluid given the initial and final concentrations as C1 = 70 kg/m3 and C2 = 22 kg/m3, respectively.(b) Estimate the coefficient of viscosity of blood

1. Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is the pressure inside such a balloon if it starts out at sea level with a temperature of 10 °C and rises to an altitude where its volume is twenty times the original volume and its temperature is -46 °C? P₂ = ✔atm (b) What is the gauge pressure? (Assume atmospheric pressure is constant.) Gauge pressure: atm

The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 9.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.) K/min dT_ dt