When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 × 10−63. A full
bottle contains 36 cm3 of ink. How long, to the nearest day, will it take for all the ink to evaporate.
Answers
Answer:
During the extraction of ink (the coloured substance from the liquid ink) the principle of separation involved is evaporation.
In this process, the ink is heated with over water bath. When water starts boiling it starts heating the ink. In this process, the liquid component of ink gets evaporated leaving behind only dye.
Given : When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 x 10⁻⁶ cm³/s , A full bottle contains 36 cm³ of ink.
To Find : How long, to the nearest day, will it take for all the ink to evaporate?
Solution:
Total Ink in bottle = 36 cm³
ink evaporates at a rate of 2.5 x 10⁻⁶ cm³/s
Time taken to Evaporate = 36 / 25 x 10⁻⁶ secs
= 36 x 10⁶ /25
I hr = 3600 sec
1 day = 24 hrs
Seconds in a day = 24 * 3600
Time in Days = 36 x 10⁶ / 25 * 24 * 3600
= 10⁴ / 600
= 10²/6
= 100/6
= 50/3
= 16.67
≈ 17 days
it take 17 Days for all the ink to evaporate?
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