Question

In: Physics

As we will see in Chapter 19, the process of thermal conduction of energy into cylindrical...

As we will see in Chapter 19, the process of thermal conduction of energy into cylindrical blocks of ice is described by the equation LaTeX: \frac{Q}{\Delta t}=\frac{4\pi d^2\left(T_h-T_c\right)}{4L} Q Δ t = 4 π d 2 ( T h − T c ) 4 L For experimental control, in one set of trials all quantities except LaTeX: d d and LaTeX: \Delta t Δ t are constant. (a) If LaTeX: d d is made three times larger, does the equation predict that LaTeX: \Delta t Δ t will get larger or get smaller? By what factor? (b) What pattern of proportionality of LaTeX: \Delta t Δ t to LaTeX: d 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?

Solutions

Expert Solution

  

If all the other quantities except are constant,

(or)

(or)

a)

If is made 3 times larger , then   

That is will get  smaller. gets smaller by a factor of .

b)

The equation predicts that, and are inversely proportional.

c) To get a straight line for the equation of the form

is taken on vertical axis(Y axis) and is taken on horizontal axis(X axis)

d)

For the above expression, slope of the straight line is


Related Solutions

In chapter 25 we see the process of how monetary policy affects the overall economy. The...
In chapter 25 we see the process of how monetary policy affects the overall economy. The transmission mechanisms show the variables that change when the Fed takes action. Without identifying the 9 channels by name, identify the variables that change when the Fed initiates policy. Then explain how changes in these variables affect aggregate demand. Finally, explain what happens to real GDP. Look at this as a chain reaction. In your answer assume the Fed initiates an expansionary monetary policy...
Why the ratio of (thermal resistance of conduction)/(thermal resistance of convection) must be less than .1 for a system to lumped.
# Heat Transfer, Why the ratio of (thermal resistance of conduction)/(thermal resistance of convection) must be less than .1 for a system to lumped.  
How brain conserve energy by saltatory conduction
How brain conserve energy by saltatory conduction
What are the characteristics of the energy that we see as visible light? Provide an example...
What are the characteristics of the energy that we see as visible light? Provide an example illustrating how these characteristics are expressed when someone sees a rainbow. What types of things (situations and/or objects) can interfere with these characteristics?
COLLAPSE As we see in Chapter 13, Financial Statement Analysis, we are now making the transition...
COLLAPSE As we see in Chapter 13, Financial Statement Analysis, we are now making the transition from accounting concepts to finance concepts and the tools available to us to compare the results of a company to another that are produced in accounting. What is the purpose of performing a horizontal and vertical analysis? What are the other names for these types of analyses? Lastly, pick one or two ratios that were discussed in the chapter, describe what it intends to...
A particular thermal system involves three objects of fixed shape with conduction resistances of R1 =...
A particular thermal system involves three objects of fixed shape with conduction resistances of R1 = 1 K/W, R2 = 2 K/W and R3 = 4 K/W, respectively. An objective is to minimize the total thermal resistance Rtot associated with a combination of R1, R2, and R3. The chief engineer is willing to invest limited funds to specify an alternative material for just one of the three objects; the alternative material will have a thermal conductivity that is twice its...
the effect of changing the energy level on (the density of states) in the conduction band...
the effect of changing the energy level on (the density of states) in the conduction band (gc(E)). course:semiconductor devices thank you
Overall, 80% of the energy used by the body must be eliminated as excess thermal energy...
Overall, 80% of the energy used by the body must be eliminated as excess thermal energy and needs to be dissipated. The mechanisms of elimination are radiation, evaporation of sweat (2,430 kJ/kg), evaporation from the lungs (38 kJ/h), conduction, and convection. A person working out in a gym has a metabolic rate of 2,500 kJ/h. His body temperature is 37°C, and the outside temperature 20°C. Assume the skin has an area of 2.0 m2 and emissivity of 0.97. (σ =...
In Chapter 10, we are working on simple harmonic motion. What similarities do you see in...
In Chapter 10, we are working on simple harmonic motion. What similarities do you see in the motion of the skater in the simulation to the simple harmonic motion described in Chapter 10? Use the pendulum as an example and discuss changes in velocity, potential energy, kinetic energy and damped motion.
A composite cylindrical wall is composed of 2 materials of thermal conductivity ka = 240 W/mK...
A composite cylindrical wall is composed of 2 materials of thermal conductivity ka = 240 W/mK and kb = 20 W/mK, where interfacial contact resistance is negligible. - Liquid pumped through the tube is at a temperature Tinf, i = 200 F and provides a convection coefficient hi = 450 W/m^2K at the inner surface of the composite pipe -The outer surface is exposed to Tinf, o and provides a convection coefficient of ho = 20 W/m^2K -A thermocouple between...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT