In a water treatment plant, chlorine gas (Cl2) is used to disinfect water. Calculate the mass of chlorine gas required to treat 1,000,000 liters of water to achieve a chlorine concentration of 1 ppm (parts per million).
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To calculate the mass of chlorine gas required, we need to convert the volume of water to be treated (1,000,000 liters) to the mass of chlorine gas.
First, let's convert 1,000,000 liters to grams. We know that 1 liter of water has a mass of 1 kilogram (or 1000 grams).
So, 1,000,000 liters of water = 1,000,000 kilograms = 1,000,000,000 grams.
Now, we'll calculate the mass of chlorine gas required to achieve a concentration of 1 ppm (parts per million). This means that for every million parts of water, there should be one part of chlorine gas.
Since 1 ppm is equivalent to 1 gram per 1,000,000 grams (or 1 gram per 1,000,000,000 milligrams), we can say that 1 part of chlorine gas is required for every 1,000,000,000 parts of water.
Therefore, the mass of chlorine gas required to treat 1,000,000 liters of water to achieve a chlorine concentration of 1 ppm is 1 gram.
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