The sap in trees, which consists mainly of water in summer, rises in a system of capillaries of radius $r = 2.5 \times 1 0^{- 5} m$ . The surface tension of sap is $T = 7.28 \times 1 0^{- 2} N m^{- 1}$ and the angle of contact is $0^{\circ}$ . Does surface tension alone account for the supply of water to the top of all trees?

Question

The sap in trees, which consists mainly of water in summer, rises in a system of capillaries of radius

r = 2.5 \times 1 0^{- 5} m

. The surface tension of sap is

T = 7.28 \times 1 0^{- 2} N m^{- 1}

and the angle of contact is

0^{\circ}

. Does surface tension alone account for the supply of water to the top of all trees?

Filo · Accepted Answer

The height to which the sap will rise is

h = \frac{2 T cos 0 ^{o}}{p g r}

=

\frac{2 \times 7.28 \times 1 0 ^{- 2}}{1 0 ^{3} \times 9.8 \times 2.5 \times 1 0 ^{- 5}}

=

0.6 m

This is the maximum height to which the sap can rise due to surface tension. Since many trees have heights much more than this, capillary action alone cannot account for the rise of water in all trees.

Question Text	The sap in trees, which consists mainly of water in summer, rises in a system of capillaries of radius $r = 2.5 \times 1 0^{- 5} m$ . The surface tension of sap is $T = 7.28 \times 1 0^{- 2} N m^{- 1}$ and the angle of contact is $0^{\circ}$ . Does surface tension alone account for the supply of water to the top of all trees?
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

Practice questions from similar books

The sap in trees, which consists mainly of water in summer, rises in a system of capillaries of radius r=2.5×10−5m. The surface tension of sap is T=7.28×10−2Nm−1 and the angle of contact is 0∘. Does surface tension alone account for the supply of water to the top of all trees?

Text solutionVerified

Practice questions from similar books