Answer
Verified
377.1k+ views
Hint:Mercury is an atomic number 80 chemical element with the symbol Hg. It was formerly known as hydrargyrum and is now known as quicksilver. Mercury, also known as elemental or metallic mercury, is a gleaming silver-white metal that is liquid at room temperature and was once known as quicksilver. Older thermometers, neon light fixtures, and even electronic switches contain it.
Complete step by step answer:
Of all geometric shapes, a spherical shape has the smallest surface area to volume ratio. When two liquid drops collide, the cohesive forces in their molecules coalesce the drops into a single larger drop. This is since, with the same amount of material, the surface area of the resulting single drop is less than the sum of the smaller drops' surface areas. Heat is absorbed into the air as a result of the drop in surface energy.
Prove it by seeing n droplets of radius r coalesce into a single drop of radius $R$. Amount of the reduction = volume of n droplets since the volume of the liquid stays unchanged.
\[\dfrac{4}{3}\pi {{\rm{R}}^3} = {\rm{n}} \times \dfrac{4}{3}\pi {{\rm{r}}^3}\]
\[\Rightarrow {{\bf{R}}^3} = {\bf{n}}{{\bf{r}}^3}\]
\[\Rightarrow {\bf{R}} = \sqrt[3]{{{\bf{nr}}}}\]
Surface area of n droplets = \[{\bf{n}} \times 4\pi {{\rm{r}}^2}\]
Surface area of the drop = \[4\pi {{\rm{R}}^2} = {{\bf{n}}^{2/3}} \times 4\pi {{\rm{r}}^2}\]
Surface area change = surface area of drop - surface area of n droplets
\[\text{Surface area change}= 4\pi {{\rm{R}}^2} \\
\therefore \text{Surface area change}= \left( {{{\rm{n}}^{2/3}} - {\rm{n}}} \right)\]
There is a reduction in surface area and a decrease in surface energy since the bracketed word is negative.
Note:Because of the strong force of cohesion that acts within the drops and surface tension, when two or more small mercury drops come into contact with each other, they join to create a larger drop. The larger drop created has a smaller surface area and lower surface tension.
Complete step by step answer:
Of all geometric shapes, a spherical shape has the smallest surface area to volume ratio. When two liquid drops collide, the cohesive forces in their molecules coalesce the drops into a single larger drop. This is since, with the same amount of material, the surface area of the resulting single drop is less than the sum of the smaller drops' surface areas. Heat is absorbed into the air as a result of the drop in surface energy.
Prove it by seeing n droplets of radius r coalesce into a single drop of radius $R$. Amount of the reduction = volume of n droplets since the volume of the liquid stays unchanged.
\[\dfrac{4}{3}\pi {{\rm{R}}^3} = {\rm{n}} \times \dfrac{4}{3}\pi {{\rm{r}}^3}\]
\[\Rightarrow {{\bf{R}}^3} = {\bf{n}}{{\bf{r}}^3}\]
\[\Rightarrow {\bf{R}} = \sqrt[3]{{{\bf{nr}}}}\]
Surface area of n droplets = \[{\bf{n}} \times 4\pi {{\rm{r}}^2}\]
Surface area of the drop = \[4\pi {{\rm{R}}^2} = {{\bf{n}}^{2/3}} \times 4\pi {{\rm{r}}^2}\]
Surface area change = surface area of drop - surface area of n droplets
\[\text{Surface area change}= 4\pi {{\rm{R}}^2} \\
\therefore \text{Surface area change}= \left( {{{\rm{n}}^{2/3}} - {\rm{n}}} \right)\]
There is a reduction in surface area and a decrease in surface energy since the bracketed word is negative.
Note:Because of the strong force of cohesion that acts within the drops and surface tension, when two or more small mercury drops come into contact with each other, they join to create a larger drop. The larger drop created has a smaller surface area and lower surface tension.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE