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- Pls help ASAP. Pls show all work and calculations.4. Newton showed that the rate of change of temperature is proportional to the temperature difference between the system and the surroundings: dT = -a(T – Tsurr) dt %3D Where a is a constant. a) Assume T = T; at t = 0 and find the integrated expression for T at time t. b) Since we know %3D S(T) = S(T;) + C ln Where C is the heat capacity deduce an expression for S(T) at time t.The amount of radiant power produced by the sun is approximately 3.9 × 1026 W. Assuming the sun to be a perfect blackbody sphere with a radius of 6.96 × 108 m, find its surface temperature (in kelvins). Number i Units
- The emissivity of the human skin is 97.0 percent. Use 35.0 °C for the skin temperature and approximate the human body by a rectangular block with a height of 1.61 m, a width of 37.5 cm and a length of 22.0 cm. Calculate the power emitted by the human body. What is the wavelength of the peak in the spectral distribution for this temperature? Fortunately our environment radiates too. The human body absorbs this radiation with an absorptance of 97.0 percent, so we don't lose our internal energy so quickly. How much power do we absorb when we are in a room where the temperature is 23.5 °C? How much energy does our body lose in one second?2.a. What is the total Power emitted (in the form of electromagnetic radiation) by a solid hemisphere of emissivity, e = 1, if its radius is 0.70m, and it is maintained at a temperature of 1280 K ? 2.b. What is the total energy emitted by this object in 90 seconds?3. In Heat Transfer unit operations one very important Law used is the Stefan-Boltzmann which applies only to blackbodies and theoretical surfaces that absorb all incident heat radiation. This states that the total radiant heat power emitted from a surface is proportional to the fourth power of its absolute temperature. This law can be employed to estimate the rate of radiation energy H from a surface by the equation H = AeoT4 where H is in Watts, A = surface area (m2), e = the surface (dimensionless), o = a universal constant called the Stefan-Boltzmann constant (= 5.67 x 10 - 8 Wm -2K-4), and T = absolute temperature, K. Determine the percent relative true error of H for a steel plate with A = 0.52 m?, e = 0.83, and T = 749 + 25. emissivity that characterizes the emitting properties of
- Problem 1: Solve the one-dimensional heat equation ut = Upx for the completely insu- lated metal wire of unit length with the initial temperature given by u(x,0) = 6 sin?(7x) cos (Tx). (Tx) cos² (Tx). Find the equilibrium temperature inside the wire åfter long time.wp1-BIO Radiation from the head is a major source of heat loss from the human body. Model a head as a 20-cm-diameter, 20-cm-tall cylinder with a flat top. If the body’s surface temperature is what is the net rate of heat loss on a chilly day? All skin, regardless of color, is effectively black in the infrared where the radiation occurs, so use an emissivity of 0.95.
- 2. For T = 300 K, calculate the pressure (in bars) at which the mean free path of a hydrogen molecule will be each of the lengths given here. For H₂, o = 2.30 x 10-1⁹ m². (a) 100 μm (b) 1.00 mm (c) 1.00 m LL1. Thermography is a technique for measuring radiant heat and detecting variations in surface temperatures that may be medically, environmentally, or militarily meaningful. (a) What is the percent increase in the rate of heat transfer by radiation from a given area at a temperature of 34.3 deg C compared with that at 33.5 deg C, such as on a person's skin? % Increase = % (b) What is the percent increase in the rate of heat transfer by radiation from a given area at a temperature of 34 deg C compared with that at 20.3 deg C, such as for warm and cool automobile hoods? % Increase= %2 Thermo Physics The ground state of Cyanogen gas (Energy = 0 eV) and 1st excited state is (E = 4.7x10^-4eV) can be separately identified by their spectra. An astronomer determines that on interstellar gas has a ratio of 10:1. 10 molecules of cyanogen gas to every 1 excited state. Use this to determine the temperature of the gas?