redwoods 105 m 350 ft water osmotic pressure

redwoods 105 m 350 ft water osmotic pressure

 

 

The tallest trees known are the redwoods in California.

Assuming the height of a redwood to be 105 m (about 350 ft),

estimate the osmotic pressure required

to push water up from the roots to the tree top.

 

---------------------------------------------------

 

물의 밀도 = 1 g/mL 라 가정하면,

(1 g/mL) (1 kg / 1000 g) (1000 mL / 1 L) (1000 L / 1 m3)

= (1) (1 / 1000) (1000) (1000)

= 1000 kg/m3

 

 

 

π = h ρ g

( 참고 https://ywpop.tistory.com/20902 )

 

= (105 m) (1000 kg/m3) (9.81 m/s2)

= 1030050 kg/m•s2

= 1030050 N/m2

 

 

 

> 1 Pa = 1 N/m2 = 1 kg/m•s2

> 1 atm = 101325 Pa

 

 

 

(1030050 N/m2) (1 Pa / 1 N/m2) (1 atm / 101325 Pa)

= (1030050) (1 / 101325)

= 10.1658 atm

 

 

 

답: 10.2 atm

 

 

 

 

[키워드] 레드우드 기준문서, 레드우드 삼투압 기준문서