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Suppose 1.95 liters of gas at 35.5 °C is under 7.31 × 107 pascals of pressure.
How many moles of gas are there in the system?
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- A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P16.56). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find die height h in Figure P16.56. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder.(a) Show that the density of an ideal gas occupying a volume V is given by = PM/KT, where M is the molar mass. (b) Determine the density of oxygen gas at atmospheric pressure and 20.0C.A sealed cubical container 20.0 cm on a side contains a gas with three times Avogadros number of neon atoms at a temperature of 20.0C. (a) Find the internal energy of the gas. (b) Find the total translational kinetic energy of the gas. (c) Calculate the average kinetic energy per atom, (d) Use Equation 10.13 to calculate the gas pressure. (e) Calculate the gas pressure using the ideal gas law (Eq. 10.8).
- A gas is in a container of volume V0 at pressure P0. It is being pumped out of the container by a piston pump. Each stroke of the piston removes a volume Vs through valve A and then pushes the air out through valve B as shown in Figure P19.74. Derive an expression that relates the pressure Pn of the remaining gas to the number of strokes n that have been applied to the container. FIGURE P19.74A cylinder that has a 40.0-cm radius and is 50.0 cm deep is filled with air at 20.0C and 1.00 atm (Fig. P10.74a). A 20.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi (Fig. P16.74b). Finally, a 25.0-kg dog stands on the piston, further compressing the air, which remains at 20C (Fig. P16.74c). (a) How far down (h) does the piston move when the dog steps onto it? (b) To what temperature should the gas be warmed to raise the piston and dog back to hi?A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.55 × 107 Pa and a temperature of 25.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (-78.5°C) to reduce the leak rate and pressure so that it can be safely repaired. What is the final pressure, in pascals, in the tank, assuming a negligible amount of gas leaks while being cooled and that there is no phase change? To what temperature, in kelvins, must the tank be cooled from its initial state to reduce the pressure to 1.00 atm (assuming the gas does not change phase and that there is no leakage during cooling)?
- The temperature of an ideal gas remains constant while the pressure changes from 103.425 Kpaa to 1034.25 Kpaa. (a) If the initial volume is 0.08 cubic meters, determine the final volume. (b) For 0.77 Kgm of this gas, determine the change in density as a percentage of the initial density.high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.35 × 107 Pa and a temperature of 25.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (-78.5°C) to reduce the leak rate and pressure so that it can be safely repaired. A) what is the final pressure, in pascals, in the tank assuming negligible amount of gas leaks while being cooled and that there is no phase change ? B) What is the final pressure in pascals if one tenth of the gas escapes during the process? C) to what tempature in kelvins must tank be cooled from inital state to reduce the pressure to 1.00 atm (assuming the gas does not change phase and there is no leakage during cooling)?A 20.0 L tank contains 4.86×10^-4 kg of helium at 18°C. The molar mass of helium is 4.00 g/mol. (a) how many moles of helium are in the tank? (b) what is the pressure in the tank in pascals and atmosphere?
- A cylindrical tank with a piston on top confines a 498.12 K of nitrogen gas in a 2.0 m3 space between the piston and its base. Several ice cubes are put around the cylindrical tank, causing the temperature of the gas to decrease. What is the volume of the gas when its temperature decreases to 212.75 K to maintain the same pressure?Problem 8: A bicycle tire has a pressure of 6.85 × 105 Pa at a temperature of 19°C and contains 2.00 L of gas. What will its pressure be, in pascals, if you let out an amount of air that has a volume of 105 cm3 at atmospheric pressure and at the temperature of the tire? Assume tire temperature and volume remain constant.An ideal gas at pressure of 650.5 kPa and volume of 3.00x103 m3 expands reversibly to a final volume of m³ and the final pressure of 101.3kPa. The pressure as a function of the volume during this expansion is given by: p(V) = B(V – 9.00x10-3)² + 1.013.x10 p is in pascals, V is in m3 and (beta) is a constant a) What is the value and units of the constant that appears in the function? b) Determine work done by gas while it expands in joules