River

Calculate how many promiles river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL.

Result

p =  1.41 ‰

Solution:

h1=1454−101=1353 m h2=957 km=957⋅ 1000 m=957000 m  s=h1h2=1353957000=4129000≐0.0014  p=1000⋅ s=1000⋅ 0.0014=4129≐1.4138=1.41 ‰h_{ 1 } = 1454-101 = 1353 \ m \ \\ h_{ 2 } = 957 \ km = 957 \cdot \ 1000 \ m = 957000 \ m \ \\ \ \\ s = \dfrac{ h_{ 1 } }{ h_{ 2 } } = \dfrac{ 1353 }{ 957000 } = \dfrac{ 41 }{ 29000 } \doteq 0.0014 \ \\ \ \\ p = 1000 \cdot \ s = 1000 \cdot \ 0.0014 = \dfrac{ 41 }{ 29 } \doteq 1.4138 = 1.41 \ ‰

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