Question
A container is filled with 300 liters of hydrogen gas.
The first day it loses 100 liters of hydrogen gas and everyday it loses one-third of the volume it lost in the previous day. Then the containerSolution
First-day gas lost = 100 L Second day, gas lost = 100/3 = 33.33L Third day, gas lost = 33.33/3 = 11.11 L = 100/32 L Fourth day, gas lost = 11.11/3 = 3.7L = 100/33 L 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 On 100Th day = 100/399 L Total lost in 100 day = 100 + 100/3 + 100/32 + .... + 100/399 = 100 [(1+ 1/3 + 1/32 + 1/33)/(1-(1/3))] = 150 [1 - (1/3100)] ∴ Possesses at least 150 litres of hydrogen gas on 100th day
Who is sworn as the new Prime Minister of Australia?
Which one of these is the currency of Turkey ?
The State Logo of Uttar Pradesh does not have -
Which statement about India's Fundamental Duties is incorrect?
Who was the founder of the Atmiya Sabha?
RBI proposed the Financial Inclusion Index (FI-Index) to capture the extent of financial inclusion across the country, it is based on three parameters: ...
What constitutes an unclaimed deposit according to the revised RBI guidelines?
Which of the following Formula One(F1 ) racers will retire from all types of racing at the end of 2022 season?
Which is the largest stadium in Uttar Pradesh?
The Tropic of Cancer passes through which of the following states in India?