Consider the following image. The image above shows students studying the therma

Question

Consider the following image.

The image above shows students studying the thermal conduction of energy into cylindrical blocks of ice. This process is described by the equation

(a) If d is made three times larger, does the equation predict that t will get larger or smaller?

larger or smaller or t is unchanged.

By what factor will t change, if at all? (Enter 0 if t is unchanged.)
_______ times

(b) What pattern of proportionality of t 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? (Use any variable state above.)
slope =________

Explanation / Answer

Q/t= kd^2(Th Tc)/4L

The equation can be written as -

(a)
t = (Q * 4L) /kd^2(Th Tc)
So we Can Clearly See, If we increase d , t will get Smaller.

t will change by factor 1/9.

(b)

t is proportion to 1/d²

(c)
To get a straight line, you have to make the quantities in proportion
Therefore,
Horizontal axis = t  
Vertical axis = 1/d²

(d)
Expression represents the theoretical slope of this graph -
(Q * 4L)/k(Th Tc)

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