An auditorium has dimensions 10.0 m X 24.0 m X 34.0 m. How many molecules of air fill the auditorium at 200.0\deg C and a pressure of 101 kPa (1.00 atm)?
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- A basketball is pressurized to a gauge pressure of PG = 55 kPa when at the surface of a swimming pool. (Patm = 101 kPa). The ball is then submerged in the pool of water which has a density ρ = 1000 kg/m3. Assume the ball does not change in mass, temperature, or volume as it is submerged. Calculate the absolute pressure inside the basketball in kPa when it is at the surface. Write an equation for the pressure difference ΔP between the inside and outside of the ball when it is submerged a distance y below the surface of the water. Solve the pressure equation for the depth (in meters) at which the pressure difference between the inside and outside of the ball will become zero. At this depth the pressure inside the basketball is the same as the pressure outside the ball.The absolute pressure inside an oxygen tank is P=100kPa, the temperature is 27°C, and the mass is m=3.0 kg. Assume the oxygen behaves as an ideal gas. The gas constant of oxygen is R=0.2598 kPa·m3/kg·K. The temperature relation is T(K)=T(°C)+273. Determine the volume of oxygen tank ______ m3The 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.) dT=0.512 dt X K/min
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