In a 60 mm diameter cylindrical nuclear reactor fuel rod é ü, 1 = 3.929 x 107 W / m3 uniformly distributed There is heat generation and the temperature distribution in continuous regime is given by the equation T (r) = a + br2. Here, A = 650 ° Ć and b = -3.274 x 105 ° C in T (° C) and r (m) units. The properties of the rod k = 30 W / m. K, p = 1100 kg / m3 and cp = 800 J / kg · K' (a) What is the heat conduction (W 7 m) from the unit length of the rod at r = 0 (axis) and r = 30 mm (surface)? (b) Reactor power level suddenly ė If ü is increased to 2 = 108 W / m3, at r = 0 and r = 30 mm the temperature will be What is the change (aT / at) with time?

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

A child has a temperature of 101°F. If her total skin area is 19 m², find the energy loss per second due to radiation, as- suming the emissivity is 1. Assume the room temperature is 70°F. The Stephan-Boltzmann constant is 5.6696 × 10-8 w/m² · Kª . 2 Answer in units of W.

A research group recently made an interesting discovery, while studying laser interactions with molecular gases. They found that nitrous oxide molecules (mass 44.013 g per mole) can reach temperatures exceeding 1,648 degrees Celsius after a interacting with a few closely-spaced (in time) laser pulses. At this temperature, what is the rms speed (in m/s) of a nitrous oxide molecule?

Consider a disc of mass 0.44kg, with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the acceleration of the disc down the slope?

What is the RMS speed of Helium atoms when the temperature of the Helium gas is 312.0 K? (Possibly useful 1.66x10-27 kg, Boltzmann's constants: the atomic mass of Helium is 4.00 AMU, the Atomic Mass Unit is: 1 AMU constant is: kg = 1.38×10-23 J/K.) kB Submit Answer Tries 0/12 What would be the RMS speed, if the temperature of the Helium gas was doubled? Submit Answer Tries 0/12 =

What is the change in length of a 3.4-cm-long column of mercury if its temperature changes from 35 ºC to 35.3 ºC, assuming the mercury is unconstrained? The thermal coefficient of expansion of mercury is 6×10-5 /oC.