Question

QUESTION 2

A broken faucet leaks 1054.2 mm3/min.
How many years will it take for 1500.0 L to drip out of the faucet? (1 year = 365 days, 1 L = 1 dm3)

Answer 1

It,ll take 2.71 years to leak out 1500 L

Step-by-step explanation:

Given

`Rate = 1054.2\ mm^3/min`

Required

Determine how long it'll take for 1500L to get leaked

`Rate = Volume/Duration`

Substitute 1500L for Volume

`Rate = 1500L/Duration`

Convert 1500 L to dm³

`Rate = 1500dm^3/Duration`

Convert dm³ to mm³

`Rate = (1500 * 1000000mm^3)/(Duration)`

Equate both rates

`(1500 * 1000000mm^3)/(Duration) = (1054.2mm^3)/(min)`

Cross Multiply

`Duration * 1054.2mm^3 = 1500 * 1000000mm^3 * 1min`

`Duration * 1054.2 = 1500 * 1000000 * 1min`

`Duration * 1054.2 = 1500000000 * 1min`

Divide both sides by 1054.2

`Duration = (1500000000\ min)/(1054.2)`

`Duration = 1422879.90894 min`

Convert minutes to years

`Duration = (1422879.90894\ years)/(525600)`

`Duration = 2.70715355582\ years`

`Duration = 2.71\ years` (Approximated)