A0.5-cm diameter air bubble at 5°c and 3 atm pressure rises to the surface. determine its final diame- ter when t 25°c and p 1 atm. (ignore any water vapor in the bubble.)

d=0.738cm

Explanation:

We divide this problem in two parts, below the surface is part 1 (where we have ), and on the surface part 2 (where we have ).  In this case, pressure, volume and temperature will vary, and n will remain constant because the amount of air is always the same (and R is always a constant), so we have .

We can then do:

The volume of a sphere is , so we can write

Which is

And obtain our radius for the bubble on the surface:

Since the diameter is 2 times the radius this can be written as (the factor 2 cancels out):

And we put our values in S.I.:

u=13

v=30

s/t=u+1\2at

=13+431/2

=13+265.5

=278.5

a displacement distance is size of displ