A container is filled with 300 litres of hydrogen gas. The first day it loses 100 litres of hydrogen gas and everyday it loses one third of the volume it lost in the prevoius day .Then the contsiner
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Answer:
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Given:
(i) A container is filled with 300 litres of hydrogen gas.
(ii) The first day it loses 100 litres of hydrogen gas and everyday it loses one third of the volume it lost in the prevoius day.
To find:
The correct alternative(s):
a.loses entire hydrogen in 3days
b.loses entire hydrogen in 10days
c.loses 150 lites hydrogen in 10 days
d.possesses at least 150litres of hydrogen gas on 100th day
Solution:
Given that,
Total capacity = 300L
First day gas lost = 100L
Second day, gas lost = 100/3 = 33.33L
Third day, gas lost = 33.33/3 = 11.11 L
Fourth day, gas lost = 11.11/3 = 3.7L
Fifth day, gas lost = 3.7/3 = 1.23L
Sixth day, gas lost = 1.23/4 = 0.41L
Seventh day, gas lost = 0.41/3 = 0.137L
Eighth day, gas lost = 0.137/3 = 0.045L
Ninth day, gas lost = 0.045/3 = 0.015L
Tenth day, gas lost = 0.015/3 = 0.005L
Total gas loss is equal to 149.982L
(c) Total gas lost in 10 days approximately equal to 150L
(d) The gases lost from now on will almost be negligible, so 150L of gas would remain on 100th day.