a mercury drop of radius 1 cm is sprayed


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a mercury drop of radius 1 cm is sprayed into 10^6 droplets of equal size. calculate energy expended. surface tension of mercury = 32× 10^-2 N/m​

Answered by administrator @



A mercury drop of radius 1 cm is sprayed into 10^6 droplets of equal size, the surface tension of mercury = 32× 10^-2 N/m​. Calculate the energy expended.

Explanation:

  • From the above-given data, Let us consider 'R' as the radius of the big drop, and 'r' as the radius of the small drop.
  • The total volume is conserved on the formation of small drops.
  • Solution:  4/3 πr³ × 10^{6} = 4/3 πR³
  • The other form is ⇒ r = R × 10^{-2} = 0.01 cm
  • To calculate the energy expended, the formula is

Energy expended = Surface tension × Increase in surface area

                              = T × 4π(R² - 10^{6} r²)

                              = 32 ×  10^{-2} × 4 × 3.14 [ 10^{6}(0.01 × 10^{-2}) - (10^{-2})²]

                              = 401.92 × 10^{6} × 10^{4} J


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