1. A thermometer reading 18"F is brought into a room where the temperature is 70'F, 1min later the thermometer reading is 31'F. Determine the temperature reading as a function of time and in particular, find the temperature reading 5 min after the thermometer is first brought into the
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- 1.22 In order to prevent frostbite to skiers on chair lifts, the weather report at most ski areas gives both an air temperature and the wind-chill temperature. The air temperature is measured with a thermometer that is not affected by the wind. However, the rate of heat loss from the skier increases with wind velocity, and the wind-chill temperature is the temperature that would result in the same rate of heat loss in still air as occurs at the measured air temperature with the existing wind. Suppose that the inner temperature of a 3-mm-thick layer of skin with a thermal conductivity of 0.35 W/m K is and the air temperature is . Under calm ambient conditions the heat transfer coefficient at the outer skin surface is about (see Table 1.4), but in a 40-mph wind it increases to . (a) If frostbite occurs when the skin temperature drops to about , do you advise the skier to wear a face mask? (b) What is the skin temperature drop due to the wind?Consider an experimental structure required to always have constant pressure. For this purpose, a collapsible compartment has been installed that expands and contracts to adjust the volume of air inside the structure for maintaining constant air pressure of 1 atm. Given the total volume of air inside the structure was 100,000 m' when the compartment was fully collapsed, solve the following: If a constant pressure is to be maintained while the temperature varies from 0°F to 150°F, find the volume of air that the compartment holds when it expands to the maximum. For the temperature transition mentioned above, find the change in internal energy undergone by the air in the structure. Also, find the work done by the compartment while it expands. Assume air to be an ideal gas.A thermometer reads 90C initially and is placed in a room of temperature 21C. After 2 minutes, the thermometer reads 60C. Determine when will the thermometer reads the room temperature.
- A spring is compressed by 0.05 in for every 1 lbf of applied force. Determine the deflection of the same spring when the applied forces is 6.5 lbm .Let go= 32.0 ft/s2solve step by step and correctly. A family enters a winter vacation cabin has been unheated for such a long time the interior temperature is the same as the outside temperature (00C). The cabin consists of a single room of floor area 4m by 4m and height 3m. The room contains one 2kW electric heater. Assuming that the room is perfectly airtight and that all the heat from the electric heater is absorbed by the air, none escaping through the walls or being absorbed by the furnishing, how long after the heater is turned on will the temperature reach the comfort level of 240C.A thermometer having a time constant of 0.2 min is placed in a temperature bath, and after the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly with time at a rate of l0 C/min. What is the difference between the indicated temperature and the bath temperature (a) 0.1 min, (b) 1.0 min after the change in temperature begins?
- Figure 1 shows a piston-cylinder assembly containing gas, on top of a hot plate. At the beginning, the system is at room temperature, and the piston seats on the set of stops. Then, the heating plate is turned on and eventually the piston starts to rise. Determine at which pressure this happens, considering that g = 9.81 m/s 2.A group of twenty executives attend a board meeting in a room that measures 20 feet by 20 feet and has a 10-foot ceiling. Suppose each person occupies 2.5 feet and gives out about 375 BTUs of heat per hour. Calculate the temperature rise that occurs within 20 minutes of the start of the conference if the room is completely sealed and insulated, Take c for air as 0.1825 BTU / Lbmd Ibm ° F.Differential Equation: Newton's Law of Cooling. Show your complete solution.A thermometer reading 10ᵒC is brought into a room where the temperature is 32ᵒC. Two minutes later the thermometer reading is 15ᵒC. Determine the temperature reading 5 minutes after the thermometer is first brought into the room.
- Please answer it in 30 mins. show solution step by step with specific units. thermodynamics4p4 a woman who weighs 500N stands on a 9.0m long board that weighs 100N. The board is supported at each end. The support force at the right end is 3 times bigges the support force at the left end. How far from the right end is the woman standing? choose one below: (m) a. 1.6 b. 2.7 c. 2.0 d. 1.8A series of pistons / cylinders positioned horizontally within a constant- temperature bath. The piston can move in the cylinder without friction. There is a force outside which holds the piston in position, against the initial gas pressure equal to 14 bar. The volume of gas is initially 0.03 m3 . External force acting on the piston reduced gradually, and the gas is isothermal expansion until the volume is doubled. If the relationship between gas volume and pressure can be stated by: PVt = constant How much work did the gas do at the time of expansion? How much work is that will be carried by the gas if the external force is reduced suddenly to the force they will be half of the original force.