A gas chamber of 100L consists of 60% oxygen and 40% nitrogen. Some amount of gas was removed from chamber and nitrogen was added such that the nitrogen % becomes 70.What amount of gas was removed?50L20L25L75L
Question
A gas chamber of 100L consists of 60% oxygen and 40% nitrogen. Some amount of gas was removed from chamber and nitrogen was added such that the nitrogen % becomes 70.What amount of gas was removed?50L20L25L75L
Solution
To solve this problem, we can use the concept of the gas chamber's volume and the percentages of oxygen and nitrogen.
Step 1: Calculate the initial amount of oxygen and nitrogen in the gas chamber.
- The gas chamber has a volume of 100L.
- The initial percentage of oxygen is 60%, which means there are 60L of oxygen in the chamber (100L * 0.60).
- The initial percentage of nitrogen is 40%, which means there are 40L of nitrogen in the chamber (100L * 0.40).
Step 2: Calculate the final amount of nitrogen in the gas chamber.
- The desired percentage of nitrogen is 70%, which means there should be 70L of nitrogen in the chamber after the gas removal and addition.
- Since the initial amount of nitrogen was 40L, we need to add (70L - 40L) = 30L of nitrogen.
Step 3: Calculate the amount of gas that was removed.
- The total volume of the gas chamber remains the same at 100L.
- The initial amount of oxygen was 60L, and the final amount of nitrogen is 70L.
- Therefore, the amount of gas that was removed is (60L - 70L) = -10L.
Since the amount of gas removed cannot be negative, the correct answer is that no gas was removed from the chamber.
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