4.00 Litres of hydraulic oil is placed in a cylinder with a movable piston, on which a heavy block is placed. The hydraulic oil pressure is maintained at 2.45x105 Pa and the temperature of the oil is raised by 45K. The oil is in the liquid phase and expands by a small amount 1.2x10-3m3. Calculate the work done on the oil and the change in internal energy of the oil. The specific heat capacity of hydraulic oil is 2300J/(kg.K) and its density is 800kg/m3
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4.00 Litres of hydraulic oil is placed in a cylinder with a movable piston, on which a heavy block is placed. The hydraulic oil pressure is maintained at 2.45x105 Pa and the temperature of the oil is raised by 45K. The oil is in the liquid phase and expands by a small amount 1.2x10-3m3. Calculate the work done on the oil and the change in internal energy of the oil. The specific heat capacity of hydraulic oil is 2300J/(kg.K) and its density is 800kg/m3
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- 10. A container with a movable piston holds 2.00 moles of a monatomic ideal gas at a pressure of 3.0 × 105 N/m2 in a volume of 0.018 m3 . (a) What is the temperature of the gas? (b) The gas undergoes an isothermal expansion to a volume of 0.027 m3 . How much work does the gas do during this expansion? (c) How much heat flows into or out of the gas during this expansion? Does it flow into or out of the gas?The water in a deep underground well is used as the cold resevoir of a Carnot heat pump that maintains the temperature of a house at 303 K. To deposit 13000 J of heat in the house, the heat pump requires 716 J of work. Determine the temperature of the well water.A gas is enclosed in a container fitted with a piston of cross-sectional area 0.150 m2. The pressure of the gas is maintained at 7,200 Pa as the piston moves inward 23.5 cm. (a) Calculate the work done by the gas. J(b) If the internal energy of the gas decreases by 7.50 J, find the amount of energy removed from the system by heat during the compression. J
- An ideal monatomic gas is contained in a vessel of constant volume 0.380 m3. The initial temperature and pressure of the gas are 300 K and 5.00 atm, respectively. The goal of this problem is to find the temperature and pressure of the gas after 19.0 kJ of thermal energy is supplied to the gas. (b) Find the specific heat of the gas. __________________ J/K (d) Use the first law of thermodynamics to find the change in internal energy of the gas.__________________ kJ(e) Find the change in temperature of the gas. __________________ KA steam boiler has a total volume of 4 m3. The boiler initially contains 3 m3 of liquid water and 1 m3 of equilibrium steam at 0.1 MPa. The boiler is turned on and heat is transmitted to the water and steam. Meanwhile, the inlet and outlet valves of the boiler remain closed. The safety valve escapes when the pressure reaches 5 MPa. How much heat is transmitted to the water and steam before I open the safety valve?The first law of thermodynamics relates the heat transfer into or out of a system to the change of internal and the work done on the system. How much heat, in joules, is transferred into a system when its internal energy decreases by 165 J while it was performing 27.5 J of work?
- 64870 J of heat is added to a gas at a constant pressure of 1.75 x 105 Pa This causes a change in internal energy of 2570 J. If the starting volume is .864 m3, what is the final volume?An air-filled cylinder with a movable piston has a heat reservoir in contact with it. The heat reservoir transfers 850 J of energy into the cylinder. Due to the energy transfer, the piston does 437 J of work on the environment. What is the change in internal energy of the system?Answers (~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