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Консультация № 160899
19.02.2009, 14:42
0.00 руб.
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1) какую работу против сил поверхностного натяжения надо совершить, чтобы разбить сферическую каплю ртути радиусом 3 мм на две одинаковые капли? Коэффициент поверхностного натяжения ртути 500 мН/м.
Обсуждение
19.02.2009, 17:34
общий
это ответ
Здравствуйте, Алексеева Ксения Юрьевна!
площадь поверхности исходной капли S1=4*π*R2=4*3,14*(0,003м)2=1,13*10-4 м2
Объём шара пропорционален кубу радиуса, поэтому отношение радиусов равно кубическому корню из отношения объёмов.
V1=4/3*π*R3=2*V2=2*4/3*π*r3
R3=2*r3
R=r*3√2
r=R/3√2=2,38 мм=0,00238 м
Площадь поверхности каждой из полученных капель
S2=4*π*r2=4*3,14*(0,00238м)2=7,12*10-5 м2
Площадь поверхности изменяется на ΔS=2S2-S1=2,94*10-5 м2
Коэфициент поверхностного натяжения [$963$]=500 мН/м=0,5 Н/м=0,5 Дж/м2
Работа равна A=ΔS*[$963$]=2,94*10-5м[sup]2[/sup]*0,5Дж/м[sup]2[/sup]=1,47*10-5 Дж
площадь поверхности исходной капли S1=4*π*R2=4*3,14*(0,003м)2=1,13*10-4 м2
Объём шара пропорционален кубу радиуса, поэтому отношение радиусов равно кубическому корню из отношения объёмов.
V1=4/3*π*R3=2*V2=2*4/3*π*r3
R3=2*r3
R=r*3√2
r=R/3√2=2,38 мм=0,00238 м
Площадь поверхности каждой из полученных капель
S2=4*π*r2=4*3,14*(0,00238м)2=7,12*10-5 м2
Площадь поверхности изменяется на ΔS=2S2-S1=2,94*10-5 м2
Коэфициент поверхностного натяжения [$963$]=500 мН/м=0,5 Н/м=0,5 Дж/м2
Работа равна A=ΔS*[$963$]=2,94*10-5м[sup]2[/sup]*0,5Дж/м[sup]2[/sup]=1,47*10-5 Дж
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