The correct answer is A. 5 m.
The width of a settling tank is calculated using the following formula:
$W = \frac{Q}{v}$
where:
- $W$ is the width of the tank (m)
- $Q$ is the flow rate of sewage (m3/h)
- $v$ is the velocity of the sewage (m/h)
The velocity of the sewage is calculated using the following formula:
$v = \frac{L}{T}$
where:
- $v$ is the velocity of the sewage (m/h)
- $L$ is the length of the tank (m)
- $T$ is the detention time (h)
The detention time is calculated using the following formula:
$T = \frac{Q}{V}$
where:
- $T$ is the detention time (h)
- $Q$ is the flow rate of sewage (m3/h)
- $V$ is the volume of the tank (m3)
The volume of the tank is calculated using the following formula:
$V = W \times L \times H$
where:
- $V$ is the volume of the tank (m3)
- $W$ is the width of the tank (m)
- $L$ is the length of the tank (m)
- $H$ is the depth of the tank (m)
Given:
- $Q = 378 \text{ m}^3/\text{h}$
- $T = 2 \text{ h}$
- $L = 10 \text{ m}$
- $H = 3 \text{ m}$
Therefore:
$W = \frac{Q}{v} = \frac{378 \text{ m}^3/\text{h}}{\frac{378 \text{ m}^3/\text{h}}{10 \text{ m} \times 3 \text{ m}}} = 5 \text{ m}$