Question

If a globule of water of diameter 2 cm suddenly splits into 1000 equal globules under isothermal conditions, determine the gain in
surface energy which occurs. Given that the surface tension of water is 75.dyne/cm.
(Ans., 8486 erg]

Answer 1

Answer:

Initial volume = Final volume

⇒

3

4

π(1)

3

=10

6

3

4

πr

3

⇒10

−6

=r

3

⇒r=10

−2

mm

⇒r=10μm

Initial surface area =4π1

2

mm

2

Final surface area =10

6

4π10

−4

mm

2

△A=99(4π)10

−2

cm

2

Workdone =T×△A=895.2768dyne

Explanation:

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Answer 2

Initial volume = Final volume

⇒34π(1)3=10634πr3

⇒10−6=r3

⇒r=10−2mm

⇒r=10μm

Initial surface area =4π12mm2

Final surface area =1064π10−4mm2

△A=99(4π)10−2cm2

Workdone =T×△A=895.2768dyne

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