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3. A leaky faucet drips at the rate of 300 mL per hour. How many liters will drip in a
century?
Hints: 1 L = 1000 ml
100 years = 1 century
24 hours = 1 day
365 days = 1 year

Respuesta :

Answer:

Hence , in a century 0.342 liters of the liquid will drip.

Explanation:

The rate of the flow of the liquid droplet is given by:

[tex]Rate=\frac{Volume}{time}[/tex]

[tex]Rate=\frac{mL}{hr}[/tex]

Unit conversion:

We need to change mL/hr into Liter/century

1 L = 1000 mL (given)

1 mL = 0.001 L......(1)

1 century = 100 year

1 year = 365 days

So, 1 century = 100 x 365 days = 36500 days

1 day = 24 hrs

So , 36500 days = 36500 x 24 hr = 876000 hr

Hence ,

1 century = 36500 days = 876000 hr

we are not asked to calculate the answer in days

1 century = 876000 hr

1 hr = 1/ 876000 century

[tex]1 hr =1.141\times 10^{-6}[/tex].....(2)

From (1) and (2) put the value in the given formula:

This is for 1 mL/hr to 1 L/century

[tex]Rate=\frac{mL}{hr}[/tex]

[tex]Rate=\frac{0.001\ L}{1.141\times 10^{-6}century}[/tex]

[tex]Rate=1.141\times 10^{-3}L/century[/tex]

Now for 300 mL/hr . the rate will be more , multiply the answer by 300

[tex]Rate=300\times 1.141\times 10^{-3}L/century[/tex]

Rate = 0.342 Liters / century

Hence , in a century 0.342 liters of the liquid will drip.

Answer:

262800 L/century and 7.2 L/day

Explanation:

No idea how that person got such an incorrect answer

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