Chemistry, 15.04.2020 02:00 Amholloway13

A swimmer enters a gloomier world (in one sense) on diving to greater depths. Given that the mean molar absorption coefficient of sea water in the visible region is 6.2 x 10-5- L moI-1 cm-1, calculate the depth at which a diver will experience (a) half the surface intensity of light, (b) one-tenth the surface intensity

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Answer from: warnene17

(a) The depth at which a diver will experience half the surface intensity of light is 0.81 m.

(b) The depth at which a diver will experience one-tenth the surface intensity is 2.69 m.

Explanation:

(a) We know that Lambert-Beer's law is as follows.

$log_{10} = \frac{I_{o}}{I_{t}} = \epsilon \times c \times l$

As it is given that,

$\frac{I_{o}}{I_{t}} = 2$

and, $\epsilon = 6.2 \times 10^{-3}$

We know that molarity of sea water is 599 mM.

$log_{10}(2) = 6.2 \times 10^{-5} \times 599 \times 10^{-3} \times l$

l = $\frac{0.301}{6.2 \times 10^{-5} \times 599 \times 10^{-3}}$

= 81 cm

= 0.81 m

Therefore, the depth at which a diver will experience half the surface intensity of light is 0.81 m.

(b) We are given that,

$\frac{I}{I_{o}} = 10$

$log_{10}(10) = 6.2 \times 10^{-5} \times 599 \times 10^{-3} \times l$

l = $\frac{1}{6.2 \times 10^{-5} \times 599 \times 10^{-3} \times l}$

= 269 cm

or, = 2.69 m (as 1 m = 100 cm)

Therefore, the depth at which a diver will experience one-tenth the surface intensity is 2.69 m.

Answer from: Quest

im pretty sure its b

Answer from: Quest

answer : (a) volume of the gas = 8.67 × $10^{-3}$ l

(b) second virial coefficient b = -1.21226 l/mole

solution : given, t = 300k

p = 20atm

z = 0.86

n = 8.2 mmoles = 8.2 × $10^{-3}$ moles

r = 0.082 l atm/k/mol

find, (a) volume of gas and (b) second virial coefficient b at 300k.

formula used : $z=\frac{pv}{nrt}$

and $z=1+\frac{b}{v}$

(a) $z=\frac{pv}{nrt}$

$v=\frac{znrt}{p}$

= $\frac{0.86\times 8.2\times[tex]10^{-3}$ \times 0.082\times 300}{20}[/tex]

= 8.67 × $10^{-3}$ l

(b) $z=1+\frac{b}{v}$

$b=(z-1)v$

= (0.00867-1) × 8.659

= - 8.5839 l/mole

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A swimmer enters a gloomier world (in one sense) on diving to greater depths. Given that the mean mo...

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