Question

A rod of aluminum has a length of 1.178 cm at 23.00 ℃. What is the length of the rod at 199.0 ℃? Hint: α of aluminum = 24 x 10-6k-1

Answer 1

Answer:

dont know

Explanation:

Answer 2

Given: A rod of aluminium has length 1.178 cm at 23° C . α of aluminium= 24* 10^-6

To find: Length of rod at 199° C

Explanation: When a rod is heated, it expands and gets longer. The expansion can be linear or superficial. Here, we have to find the length of rod so we have to take into account the linear expansion of rod.

Old temperature= 23° C= 23+273 K

= 296 K

New temperature= 199° C= 199+273 K

= 472 K

Here, change in temperature (T) is: 472-296= 176K

The formula to calculate new length is:

New length= Old length( 1+ αT)

= 1.178(1+ 24*10^-6*176)

= 1.178(1+0.004224)

= 1.178(1.004224)

= 1.1829 cm

Therefore, the length of the rod is 1.1829 cm at 199° C.