2017 · Q116
A container is filled with 300 litres of hydrogen gas. The first day it loses 100 litres of hydrogen gas and everyday it loses on-third of the volume it lost in the previous day. Then the container
General ScienceChemistry
- Aloses entire hydrogen gas in 3 days
- Bloses entire hydrogen gas in 10 days
- Closes 150 litres of hydrogen gas in 10 days
- Dpossesses at least 150 litres of hydrogen gas on 100th day
Explanation
Daily losses form a geometric series: 100 + 100/3 + 100/9 + ..., whose infinite sum is 100 / (1 - 1/3) = 150 litres. Since only 150 of the 300 litres are ever lost, at least 150 litres remain even on the 100th day. Hence D.