When an object is removed from a furnace and placed in an environment with a constant temperature of 80°F, its core temperature is 1500°F. One hour after it is removed, the core temperatur (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.) y(t) = (b) Find the core temperature 8 hours after the object is removed from the furnace. (Round your answer to one decimal place.) oF
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- The left side of this equation tells how much energy Q the cylinder gives to the water while it cools. The right side of this equation tells how much energy Q the water and aluminum cup absorb from the cylinder to warm up. Because it is the same energy, they are equal. What is known in this equation? Mcyl 411.7 g, malum 46.5 g, malum+water = 175 g Can you find: mwater =? g Twater = Talum = 20°C (water and cup of room temperature) 90°C, T; = 35°C (hot cylinder and cool "cylinder+cup+water" temperatures) Tcyl kCal Calum = 0.22, Cwater 1 (specific heat of water and aluminum, measured in units kg-°C What are we looking for is Ccul - How we find it? Plug all the numbers into the equation (1), Ccul will be one unknown which you can calculate from the equation. Important, convert all the masses from grams to kilograms! After you find Ccyl, compare it to known value for the copper 0.093(our cylinder is made out of copper). |Ceyl -0.093| % : · 100% 0.093Water freezes at 0° Celsius and 32° Fahrenheit and it boils at 100°C and 212°F. (a) Find a linear function F that expresses temperature in the Fahrenheit scale in terms of degrees Celsius C. Use this function to convert 5°C into Fahrenheit. °F (b) Find a linear function C that expresses temperature in the Celsius scale in terms of degrees Fahrenheit F. Use this function to convert 120°F into Celsius. °℃ (c) Is there a temperature n such that F(n) = C(n)? (If an answer does not exist, enter DNE.)3. A metallic rod 20 cm long is heated to a uniform temperature of 100° C. At t = 0 the ends of the bar are plunged into an ice bath at 0° C and thereafter maintained at this temperature. Find an expression for the temperature u(x, t) if the bar is made of cast iron. Material a (cm²/s) Silver 1.71 Copper 1.14 Aluminum 0.86 Cast iron 0.12 Granite 0.011 Brick 0.0038 Water 0.00144 Table 1: Thermal Diffusivity Constants for Common Materials
- Silver or Ag (Dr. Tree's third favorite metal) melts at 961.8°C and has a Heat of Fusion = 88 Jlgm. Let the superscript "sl" indicate that a substance is melting (i.e., solid liquid). 2. -sl a. Please find Ah for melting Ag in kJ/mole. Note: Fusion = a liquid to solid transformation. Note: Heats Fusion are traditionally reported as positive values. Engineers must determine the proper sign for their system.Consider an introductory thermodynamics class experiment used to demonstrate phase change phenomena. A beaker of water is heated, and its temperature measured over time to establish the temperature at which boiling occurs. The results, shown in the Figure below, are for three separate tests conducted on different days by different student groups using the same equipment and method. Why might the data from three seemingly identical tests show different results? Temperature (°C) 101 100 99 98 97 96 95 94 1 2 3 4 Time (min) 5 Boiling region 100.3 100.1 99.8 Boiling point results Test 1 (762 mm Hg) Test 2 (754 mm Hg) Test 3 (767 mm Hg) 6 7A one-meter long bar has been heated unevenly, with temperature in °C at a distance z meters from one end at time t given by H(2, t) = 110e 0.06t sin(rz) 0 < <1. (a) On a sheet of paper, sketch a graph of H against z for t = 0 and t = 1. Use this graph to select all correct statements below. A. When t = 0, the rod is the same temperature throughout B. The rod is coldest at the r = 0 end, and warmest at the a = 1 and C. The two ends of the rod remain at 0°C D. The rod is coldest in the middle E. The middle of the rod gets colder over time F. The closer you are to the middle of the rod, the greater the temperature change from t = 0 to t = 1 G. None of the above %3D (b) On a sheet of paper, sketch a graph of H against t for a= 1/8, a= 1/4, and a = 1/2. Use this graph, and your observations from the previous graph, to select all correct statements below. JA. As time goes on, all part of the rod approach the same temperature B. The temperature near the middle of the rod changes most quicky…
- The specific heat of copper is 0.093 cal/(g.°C) and the specific heat of gold is 0.031 cal/(g.°C). If 5.8 cal is supplied to one gram of copper and one gram of gold, the RATIO of temperature increase of gold to that of copper isRead and understand each statement carefully. Provide all necessary solutions. Only thermodynamic properties such as specific volume, specific internal energy, specific enthalpy, and specific entropy should be expressed in five (5) significant figures when encountered in an intermediate solution; otherwise, do not round your intermediate solution. Write the final answer in THREE DECIMAL PLACES except for specific volume, specific internal energy., specific enthalpy, and specific entropy that should be expressed in FIVE (5) SIGNIFICANT FIGURES. Use the system of unit predominant in each problem. Box your final answer Question 6 Water at 2.5 MPa and 200°C is heated at constant temperature up to a quality of 80%. Find the quantity of heat received by the water in kJ/kg.Read and understand each statement carefully. Provide all necessary solutions. Only thermodynamic properties such as specific volume, specific internal energy, specific enthalpy, and specific entropy should be expressed in five (5) significant figures when encountered in an intermediate solution; otherwise, do not round your intermediate solution. Write the final answer in THREE DECIMAL PLACES except for specific volume, specific internal energy., specific enthalpy, and specific entropy that should be expressed in FIVE (5) SIGNIFICANT FIGURES. Use the system of unit predominant in each problem. Box your final answer Question 7 A steam engine isentropically expands 13.292 kg/s of steam from 0.68 MPa, 220°C. the exhaust is dry and saturated. Determine the work of a steady flow process in kW. Question 8 A steam engine isentropically expands 9.308 kg/s of steam from 0.68 MPa, 220°C. the exhaust is dry and saturated. Determine the work of a nonflow process in kW.
- Read and understand each statement carefully. Provide all necessary solutions. Only thermodynamic properties such as specific volume, specific internal energy, specific enthalpy, and specific entropy should be expressed in five (5) significant figures when encountered in an intermediate solution; otherwise, do not round your intermediate solution. Write the final answer in THREE DECIMAL PLACES except for specific volume, specific internal energy., specific enthalpy, and specific entropy that should be expressed in FIVE (5) SIGNIFICANT FIGURES. Use the system of unit predominant in each problem. Box your final answer 7.919 kg of water vapor are contained at 150 kPa and 90 percent quality in a suitable enclosure. What will the pressure be in MPa at the end of the heating process?Q1. The following data is obtained during geothermal drilling operation. Rock density = 1550 kg/m ³, heat capacity of the rock = 0.00163 J/kg K, temperature difference = 80 K. How much will be the thermal heat content of the rock at the geothermal site? Discuss about geothermal gradients their importance in energy exploration. Do you think utilization of geothermal energy worldwide is increasing yearly? Justify your answer. Do you think the geothermal energy available in this site can be used for a metal melting industry?3. If the temperature of a certain amount of gas is held constant, the absolute pressure of gas varies inversely as its volume without change of state, and if for certain amount of gas, the absolute pressure is 20 psi (pound per square inch) when the volume is 40 liters, then find the volume when the absolute pressure reached 32 psi. 4. The electrical resistance of a wire varies directly as the length and inversely as square of radius. The resistance of a certain piece of wire of length 100 feet and radius 0.02 inch is 300 ohms. Find the resistance of the wire of the same material 2500 feet long and radius 0.05 inch.