How much heat is needed to be supplied to a 3.5 kg cylindrical rod if its volume changes by 1/4 of its original size? Assume that it is initially at 20K and that c = 2 cal/g.C and α = 8x10^2/C

Heat to do what? expand it a certain length? heat it to a certain temperature?

If you are just looking at heat content for a specific temperature change, heat is directly proportional to mass, which is directly related to volume.

heat then equals 1/4 of the original.

But I suspect you are looking at something else.

the problem stated that the rod has expanded 1/4 its volume. I am looking for the heat supplied that has made its volume expand. please help :D

To determine the amount of heat needed to be supplied to the cylindrical rod, we need to use the formulas related to thermal expansion and specific heat.

First, let's calculate the change in volume of the cylindrical rod. Since the volume changes by 1/4 of its original size, we can use the formula:

Change in Volume (ΔV) = (1/4) x Original Volume

The formula for the volume of a cylindrical rod is:

Volume (V) = πr²h

Where r is the radius and h is the height of the cylinder.

Now, we can calculate the original volume. However, we need additional information to determine the dimensions of the cylindrical rod.