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(10 points) A basement (with volume V) in a residence is found to be contaminated with radon coming from the ground through the floor drains. The concentration of radon in the room is [Co] under steady-state conditions. The room behaves as a CSTR, and the decay of radon is a firstorder reaction with a decay rate constant of [k]. a. Now the condition changes: The source of radon is closed off but there is no ventilation. What is the equation that describes the concentration of radon in the basement with time [Ct]

Answer :

ajeigbeibraheem

Answer:

[tex]\mathbf{C_{Out} = C_o \ exp \Big [ - \Big ( \dfrac{1}{\dfrac{V}{Q} } + k \Big) t \Big ] }[/tex]

Explanation:

The equation that describes the concentration of the radon in the basement with time Ct is;

[tex]\mathbf{C_{Out} = C_o \ exp \Big [ - \Big ( \dfrac{1}{\theta} + k \Big) t \Big ] }[/tex]

where;

[tex]C_o[/tex] = concentration of the radon

[tex]C _ {Out}[/tex] = allowable radon concentration

k = decay rate constant

= theoretical detention

t = time needed to lower the radon concentration

The theoretical detention [tex]\theta =\dfrac{V}{Q}[/tex]

∴

[tex]\mathbf{C_{Out} = C_o \ exp \Big [ - \Big ( \dfrac{1}{\dfrac{V}{Q} } + k \Big) t \Big ] }[/tex]

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