Question

A metal sheet is of 4 m x 3 m size. What is the increase in its surface area when heated through 80°C? Given that coefficient of superficial expansion of the metal is 2.4 x 10-5/°C.

Answer is
$230 cm{}^{2}$


Give full solution please​

Answer 1

Answer:

Increase in surface area is  0.00144 m^2

Explanation:

Formula for linear expansion of a metal is;  

L = L initial ( 1 + α (t2 – t1))

Linitial is the initial length at temperature t1, t2 is the final temperature and α is the cofficent of thermal expansion expansion.

We now apply this formula for length 3 and 4 meters.

L = 3 (1 + α (80))

Here we are given that α = 2.4*20^-5 =  0.00000075

L = 3 (1 + 0.00000075 (80))

L’ = 3.00018

Similarly for dimension 4 m

L’ = 4 (1 + 0.00000075 (80))

L’ = 4.00024

Now original area was;

A = 3 x 4 = 12  m^2

After expansion, area will be;  

A’ = 4.00024 x 3.00018

A’ = 12.00144 m^2  

Net increase in area will be;

= A’ – A

=  0.00144 m^2

PLZ MARK AS BRIANLIEST,FLW ME AND THX FOR THE SUPERB QUESTION

Answer 2

Answer:

hope so it will helpful to you