- #1
FahimP
- 14
- 0
Homework Statement
Hell people
I am stuck on this problem I solved and got the correct ans but. I somehow stumbled on the right answer by accident. My work is correct buy I have one question.
1.)
on a hot day , a cubical swimming pool is filled to within 1.9 cm of the top with water at 26 °C. When the water warms to 38 °C, the pool overflows. What is the depth of the pool? (The volume expansion coefficient for water is 2.07 10-4 °C−1.)
My question is that i accidently used B(Tf - TI ) to get the thermal expansion but the formula from the book has B V (Tf - Ti) . DO we ignore that V for volume because it is not given ? this is my question
Homework Equations
dV = BV(Tf-Ti) -- > volume expansion equation from book
The Attempt at a Solution
thermal expansion = B ( Tf-Ti)
= ( 2.07 x 10 ^ -4 ) ( 12 C ) = 0.002484
0.019 m / 0.002384 = 7.64 m
So, the depth of the pool is 7.64 m
my ans is correct