A gas is contained in a vertical piston-cylinder assembly by a piston with a face area of 40 in² and weight of 100 lbf. The atmosphere exerts a pressure of 14.7 lb/in² on top of the piston. A paddle wheel transfers 3 Btu of energy to the gas during a process in which the elevation of the piston increases slowly by 3 ft. The piston and cylinder are poor thermal conductors, and friction between the piston and cylinder can be neglected. Determine the work done by the gas on the piston, in Btu, and the change in internal energy of the gas, in Btu.
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- Two small containers, each with a volume of 125 cm3 contain helium gas at 17 ⁰F and 1.00 atm pressure. The two containers are joined by a small open tube of negligible volume allowing gas to flow from one container to the other. What common pressure will exist in the two containers if the temperature of one container is raised to 120 °F while the other container is kept at 17 °F?Two moles of ideal gas at 4.0 × 105 Pa are contained in an enclosed cylinder with a movable piston. The cylinder contraption is immersed in ice water so as to keep it at a constant temperature. i) What is the pressure if the volume is doubled? ii)If, after the volume is doubled, one mole of the gas is vented out of the contraption, then what is the pressure? Note: choose closes to the given aswers: a) 1.0 × 105 Pa, b) 2.0 × 105 Pa, c) 3.0 × 105 Pa, d) 4.0 × 105 Pa, e) 5.0 × 105 Pa5kg on it which can slide up and A cylinder with an ideal gas has a piston of mass m = down and does not permit the gas to escape. The inner radius of the cylinder is r = 6cm, The top of the piston is open to atmospheric pressure. The entire system is initially in thermal equilibrium with the environment, which is at 20°C and the height of the piston h = 10cm. If the temperature of the gas inside then is raised to 100°C, what is the final height of the piston? A 20 cm В 50 cm C 12.7 cm D 25.4 cm 18 cm Open to outside air, pressure po Piston, mass m Ideal- gas
- A) A rigid tank contains 1.60 moles of helium, which can be treated as an ideal gas, at a pressure of 28.0 atm. While the tank and gas maintain a constant volume and temperature, a number of moles are removed from the tank, reducing the pressure to 5.00 atm. How many moles are removed? B) What If? In a separate experiment beginning from the same initial conditions, including a temperature Ti of 25.0°C, half the number of moles found in part (a) are withdrawn while the temperature is allowed to vary and the pressure undergoes the same change from 28.0 atm to 5.00 atm. What is the final temperature (in °C) of the gas?A cylinder container is divided into two equal sections by thermally isolated, frictionless piston,as shown in the figure. One section contains water and the other air. The cylinder is isolated except the one face of the water section. Each section has an initial volume of 100 liter. The initial temperature of the air is 40 degees C and the water is 90 degrees C with steam quality of 10%. The water are heated slowly until the entire section of the water is filled with saturated steam. Find the final pressure and the amount of heat transported to the container. Assume: the heat transfer is a reversible process. Assume for ideal gas the following relation between p and v: (p2/p1)^((k-1)/k) = (v1/v2)^k-1 ; k=1.4Answers (~1.9kJ, ~1.1kJ, ~4kJ) The figure to the right shows a gas contained in a vertical piston-cylinder assembly. A vertical shaft with a cross- sectional area of 1.0 cm² is attached to the top of the piston. The total mass of the piston and shaft is 35 kg. While the gas is slowly heated, the internal energy of the gas increases by 0.25 kJ, the potential energy of the piston-shaft combination increases by 0.5 kJ, and a force of 1300 N is exerted on the shaft as shown in the figure. The piston and cylinder are both good insulators and friction between them is negligible. The local atmospheric pressure is 1 bar and g = 9.81 m/s². Determine: 21 F-1300N (c) the heat transfer to the gas (kJ) (d) Provide a detailed accounting of where all of the heat energy has gone. C 19 4 A-14cm (a) the work done by the shaft (kJ) (b) the work done in displacing the atmosphere (kJ) (atmosphere does not act on shaft aka a donut area) D²10.0
- An ideal diatomic gas undergoes an adiabatic compression during which time its volume changes from VA = 1300 cm3 to VB = 390 cm3. If its initial temperature is TA = 74.0°C, what is the final temperature TB of the gas?The figure below shows a cylinder filled with an ideal gas, which has a moveable piston resting on it. The cylinder's volume is initially 5.50 L, when a force on the piston of F = 22.0 kN pushes the piston downward a distance d = 0.145 m, until the volume of the cylinder is 3.00 L. The process occurs while the cylinder is in thermal contact with a large energy reservoir at a temperature of 295 K. d (a) How much work (in kJ) is done on the gas by the piston during the process? kJ (b) What is the change in internal energy (in kJ) of the gas during the process (from the initial state to the final state)? kJ (c) What is the energy transfer (in kJ) by the gas as heat during the process? (Treat the gas as the system and let the sign of your answer indicate the direction of energy flow.) kJ (d) The entire experiment is repeated with the same conditions, except now instead of being in contact with a heat reservoir, the cylinder is thermally insulated from its environment (allowing no heat to…