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aksik
11 hours ago
6

49.9 g per day of a certain industrial waste chemical P arrives at a treatment plant settling pond with a volume of 300 m^3. P i

s destroyed by sunlight, and once in the pond it has a half-life of 3.4 h. Calculate the equilibrium concentration of P in the pond. Round your answer to 2 significant digits.
Chemistry
1 answer:
Alekssandra [2.9K]11 hours ago
5 0

Answer:

The concentration of P in the pond at equilibrium is 0.034 g/m³

Explanation:

Given the total mass = 49.9 g

1 day = 24 hours

mass per hour;

Incoming mass = (49.9 g / day) * (1 day /24 hr )

            = 2.079 g/hr

Outgoing mass = 0

Mass lost due to sunlight = k C_{A} V  

Given the half-life = 3.4 hours

For a first-order reaction; k, the rate constant = ln2/t, where t is the half-time

                     ln 2= 0.693, V= volume

                     k = 0.693 / t_half = 0.693 / 3.4 = 0.2038 hr⁻¹

Substituting all parameters into the equation k C_{A} V;

Mass lost to sunlight = k C_{A} V  

C_{A} = Incoming mass per hour / kV

= 2.079 g/hr / (0.2038 hr⁻¹ x 300 m³) C_{A}

=  

0.034 g/m³C_{A}

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