Question

A digester contains 1,400 pounds of volatile matter under digestion. If 0.05 pound of new volatile solids can be added per day per pound of volatile matter under digestion, how many pounds of sludge solids can be added per day with a volatile content of 65 percent

Answer 1

The quantity of sludge solids is 107.69 pounds approximated to 108 pounds.

Explanation:

Given:

Quantity of the volatile matter in the dig-ester = 1400 pounds

Volatile solids added per day per pound = 0.05

According to the question :

The added sludge solid in the dig-ester have 65% of volatile content.

Lets say that the total sludge added be 'x' pound.

⇒ The volatile content =
`65\%`

⇒ And sludge added =
`0.05* 1400`

=
`70` pounds

So,

⇒ The total quantity of sludge added:

⇒
`65\% \ of \ x=70`

⇒
`(65)/(100)* x = 70`

⇒
`65x=70* 100`

⇒
`x=(70* 100)/(65)`

⇒
`x=(7,000)/(65)`

⇒
`x=107.69` pounds

The quantity of sludge solids that an be added per day with a volatile content of 65% is 107.69 approximated to 108 pounds.