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- The total power emitted by a spherical black body of radius Rat a temperature T is P,. R Let P, be the total power emitted by another spherical black body of radius kept at 2 temperature 27T . The ratio, is (Give your answer upto two decimal places) P2When the coefficient of linear expansion, a, and the temperature change, T-T, are large, a length L, of a solid substance expands in length to a(T, -T₂) L₁ = L₁e O L=L[1 + a(Tƒ– T;)]. ○ Ly=al (Ty-T). O L=L[1 + In(a(T₁-T))]. a(T, I₂ = ₁₂₁[ 1 + ª²(²₁-7)].The molar heat capacity at constant pressure of carbon dioxide is 29.14 J/K.mol. (a) What is the value of its molar heat capacity at constant volume? J/mol. 4 sig. (b) Calculate the change in enthalpy when 1 mole carbon dioxide is heated from 15°C (the temperature when the air is inhaled) to 37°C (blood temperature, the temperature in our lungs)? number normal format. (c) Calculate molar internal energy when carbon dioxide is heated from 19.16 °C (the temperature when the air is inhaled) to 37°C (blood temperature, the temperature in our lungs). normal format. J/mol 3 sig. number Click Save and Submit to save and submit. Click Save All Answers to save all answers. E R O El 5 G E O A J/K.mol. 4 sig. number H FO 1₂ Save All A 87°F ^!
- A cylindrical bar of length L and radius R (L>>R) whose side walls arethermally insulated supports for an electric motor. the dissipation ofengine heat maintains surface top of the bar at a temperature T1while the base meets the temperature T2 (T2<T1). The thermal conductivity of bar material varies with temperature according to the equation k=k0-aT, where k0 is a are positive constants. Get:(a) An expression that describes the change in temperature over of x under steady state conditions;(b) An expression for the rate of heat lossA hermetically sealed room 4 m x 4 m x 4 m has an internal sensible heat gain of 3 kW.The overall heat – transfer coefficient of its wall, floor and ceiling is 1.1 W/m2K. Theoutside temperature is constant at 37 °C. Calculate the steady – state temperature of theroom. What will be the temperature maintained inside the room if the ventilation airsupplied is equivalent to 10 air changes per hour?Given a cylindrical Cu bar (length L = 4 m, radius, r = 2 cm). One end is kept in a heat bath at 105 °C and the other temperature at 5 °C. The surface of the bar is insulated so that there is negligible heat loss through it. thermal conductivity of copper: kCu = 385 W/m K Calculate the following up to three (3) significant figures: (3) Temperature gradient AT/Ax, Ans = (4) Temperature T of the Cu bar 0.5 m from the hot end, Ans = in C/m in C
- Imagine a thermometer which is spherical shell of volume 100 cm attached to a long tube with equally spaced marks on it. The volume of the tube between to consequent marks is 0.2 cm. Sphere and tube contain air separated from surronding space by a drop of water. At temperature 5°C this water drop is at the 20-th mark on the tube. What is the temperature in the room where the drop settles at the 50-th mark.1. The figure shows the natural loga- rithm of the particle density of air (p = 1.225 kg m-3 at h = 0) for a constant temperature. Given that the linear fit to the data is In(n) = 58.533 at h = 0 and In(n) 57.386 at h = 10ª m, stating any assumptions used, 10 2000 4000 6000 8000 Height, h [m] (a) calculate the average mass of an air particle, (b) determine the temperature of the air. Number density, In(n) [m] 57.5 58 58.5An object with an initial temperature of that is placed at time t = 0 inside a chamber that has a constant temperature of will experience a temperature change according to the equation. T = T,+ (T,- T,)e where T is the temperature of the object at time t, and k is a constant. A soda cans at a temperature of (135,121,75,110, 95 and 100) F (after being left in the car) is placed inside a refrigerator where the temperature is (30) F. Determine, to the nearest degree, the temperature of the can after (4 ,3.5, 3, 2.5, 2 & 1.5) hours. Assume k 0.45. show the results in table form the columns are t ,Ts, T. Use display command and columns special
- 28. QC S Review. Figure P1.28 shows students studying the thermal conduction of energy into cylindrical blocks of ice. As we will see in Chapter 19, this process is described by the equation km²(Th – T.) Q At 4L For experimental control, in one set of trials all quantities except d and At are constant. (a) If d is made three times larger, does the equation predict that At will get larger or get smaller? By what factor? (b) What pattern of proportionality of At to d does the equation predict? (c) To display this proportionality as a straight line on a graph, what quantities should you plot on the horizontal and vertical axes? (d) What expression represents the theoretical slope of this graph?a) Calculate the volume in ft of one Ib-mole of air (MW = 29 lbm/lb-mole) at a temperature of 492 R at a pressure of 1 atm (absolute). b) Repeat the calculation of a) but now considering 1 Ib-mole of CO2 (MW= 44 lbmlb-mole). c) Calculate the molar volume (V) of this mole of air in ft'/lb-mole. d) Calculate the density (P) of air in Ibm/ft under these conditions e) Calculate the density (p) of CO, in Ib.m/ft under these conditionsIf the temperature of the surface of the object is 690.8 oF , then calculate its value in K.
