Question

An 8 litre cylinder contains a mixture of oxygen and nitrogen volume of oxygen is 16% of total volume a few litre mixture is released an equal amount of nitrogen is added. then same amount of mixture as before is released andvreplaced by nitrogen for second time. as result oxygen content becomes 9% of total volume. how many litre released eachtime

Answer 1

ans is 8 liter .........

Answer 2

Answer:

x = 1.75 liters of the mixture is released each time.

Step-by-step explanation:

Given : An 8 litre cylinder contains a mixture of oxygen and nitrogen volume of oxygen is 16% of total volume a few litre mixture is released an equal amount of nitrogen is added. then same amount of mixture as before is released and replaced by nitrogen for second time. as result oxygen content becomes 9% of total volume.

To find : How many litre released each time?

Solution :

Let x be the amount of mixture released each time

We know,

If the mixture is 16% oxygen, it is 84% nitrogen

Then 9% oxygen means we have 91% nitrogen

Write the decimal equation in the terms of nitrogen,

$0.84(8-2x) + 2x =0.91(8)$

$6.72 - 1.68x + 2x = 7.28$

$-1.28x + 2x = 7.28 - 6.72$

$0.32x = 0.56$

$x=\frac{0.56}{0.32}$

$x=1.75$

Therefore, x = 1.75 liters of the mixture is released each time.