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To clean the pool, she uses HTH chlorine powder, which is sold in an 8 kg bucket. She uses 128 g of chemical per 10,000 liters of water. Verify, showing all calculations, whether the 8 kg bucket will be enough for cleaning the pool.

Answer :

In this example with a 50,000-liter pool, one would require 640g of HTH, making the 8kg bucket more than enough.

To determine if the 8kg bucket of HTH chlorine powder will be enough for cleaning the pool, we need to calculate the total amount of chemical needed and compare it to the quantity contained in the bucket.

Since the pool requires 128g of chemical per 10,000 liters of water, we would first need to know the total volume of the pool water to make accurate calculations.

For the purpose of this example, let's assume the pool has a volume of 50,000 liters. Based on the given usage rate:

  • Divide the total volume of the pool by the volume that can be treated with 128g of the chemical. That would be 50,000 liters / 10,000 liters = 5.
  • Multiply the number of portions (from step 1) by the amount of chemical needed per portion. That would be

5 * 128g = 640g.

  • Convert the weight of the HTH chlorine powder bucket into grams to compare it with the calculated need.

Since 1kg = 1000g, the bucket weighs 8kg * 1000g/kg = 8000g.

Since 8000g (capacity of the bucket) is greater than 640g (amount needed for the pool), it is concluded that the 8kg bucket will be enough for cleaning the pool.

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