During a process, 30 J of work are done by a closed stationary system on its surroundings. The internal energy of the system decreases by 40 J. What is the heat transfer? Select the correct response: 70 J released into the surroundings 10 J absorbed by the system 10 J released into the surroundings 70 J absorbed by the system
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- To determine the thermal conductivity of a structural material, a large 15-cm-thick slab of the material is subjected to a uniform heat flux of 2500 W/m2 while thermocouples embedded in the wall at 2.5 cm. intervals are read over a period of time. After the system had reached equilibrium, an operator recorded the thermocouple readings shown below for two different environmental conditions: Distance from the Surface (cm) Temperature (C) Test 1 0 40 5 65 10 97 15 132 Test 2 0 95 5 130 10 168 15 208 From these data, determine an approximate expression for the thermal conductivity as a function of temperature between 40 and 208C.A plane wall 15 cm thick has a thermal conductivity given by the relation k=2.0+0.0005T[W/mK] where T is in kelvin. If one surface of this wall is maintained at 150C and the other at 50C, determine the rate of heat transfer per square meter. Sketch the temperature distribution through the wall.Air in a cylinder-piston system expands and works on the piston. The temperature of the air decreases during the process from the initial temperature of (30×1.6)°C down to the final temperature of 20°C. Specific heat values of air at constant pressure and constant volume are 1,000 J/kg.K and 730 J/kg.K respectively. (a) Determine the change of enthalpy per mass and the change of internal energy per mass, respectively. (b) This process produces 20 kJ/kg of work. Combine this number with your outcome from (a), to estimate the amount of heat transfer per mass required for this process to happen.c) Based on the outcome from part (b), determine whether the heat went ‘into’ the system or ‘out of’ the system.
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- A device expends 142.26 kJ of energy while pressurizing 3.93 kg of water initially at 12.88°C. The efficiency of the heating device is 59.73%. Inefficiencies are represented by a heat loss from the device casing. Determine the final temperature in °C.The molar heat capacities of substances varies with temperature. The general function for determining the molar heat capacity is given below; Cp m = (a + bT + cT 2 )R . In case of a gas where a = 3.245, b = 7.108 x10^ -4 K ^-1 , and c = -4.06 x10 ^-8 K^ -2 for temperatures in the range of 800 Kelvins to 1,500 Kelvins. What is the change in the enthalpy (in KiloJoules per Kelvin per mole) for two moles of this gas at 1,500 kelvins? NOTE: Express answer in THREE SIGNIFICANT FIGURES.1) A piston-cylinder system containing 1100 grams of an ideal gas ‘X’ is cooled from 900 K to 100 K at constant pressure. The specific heat capacity of the gas is Cp = 38.3 J.mol-1.K-1. Assume Cp stays constant in the given temperature range. The molar mass of the gas = 28 g.mol-1. a) Write the simplified first law of thermodynamics for this system with justification. b) Calculate the total heat transferred (in kJ) during the process of cooling c) If the entire heat from the cooling of ‘X’ (as calculated in (b)) could be used as work to change the volume of another gas ‘Y’ from 500 m3 to 1000 m3 in a constant pressure process, calculate the value of pressure. d) Instead of cooling at constant pressure, if ‘X’ was expanded reversibly and at a constant temperature (300K), calculate the work done by the system in kJ if the change in volume was 10-fold.