Question

If the coefficient of conductivity of aluminium is 0.5cal/cm-sec-°C, then in order to conduct10 cal/sec-cmin the steady state, the temperaturegradient in aluminium must be(1) 5°C/cm(2) 10°C/cm(3) 20°C/cm(4) 10.5°C/cm​

Answer 1

Answer:

you don't know 20 805ngsnc

Answer 2

The temperature gradient in aluminium is $20\ ^ oC/cm \ .$

Given :

Coefficient of conductivity of aluminium , $K=0.5\ cal/cm-sec-^oC.$

We need to find the temperature gradient in order to conduct $10 \ cal/sec - cm^2$.

We know, Temperature gradient is equal to change in temperature per unit length .

Therefore, Temperature gradient = $\dfrac{\Delta T}{\Delta x}$  ( here $\Delta T$ and $\Delta x$ is change in temperature and length respectively ).

Now, $\dfrac{\Delta T}{\Delta x}=\dfrac{1}{K }\dfrac{\Delta Q}{ \Delta t\ A}$      ..... equation 1.

Value of $\dfrac{\Delta Q}{ \Delta t\ A} \ is \ given \ as : 0.5\ cal/sec-cm^2$

Putting value of K and $\dfrac{\Delta Q}{ \Delta t\ A}$  in equation 1 , we get :

$\dfrac{\Delta T}{\Delta x}=\dfrac{10}{0.5}=20\ ^oC/cm\ .$

Therefore, option 3) is correct .

Hence, this is the required solution .

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Expansion of solids .

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