Question

1000 kg of mixed acid product of composition 40% H2SO4, 45% HNO3, and 15% H2O is to be produced by strengthening fresh acid of composition 30% H2SO4, 36% HNO3, and 34% H2O by weight. Concentrated sulfuric acid of strength 95% (remaining water) and concentrated nitric acid containing X % acid (remaining water) by weight are added to the mixer for this purpose. Calculate kilograms of fresh acid and concentrated acids to be mixed to produce the required composition? To produce a mixed acid product, how many kilograms of fresh acid and concentrated acids are needed to achieve the desired composition? A) Calculate the kilograms of fresh acid. B) Calculate the kilograms of concentrated sulfuric acid. C) Calculate the kilograms of concentrated nitric acid. D) Calculate the total kilograms of all acids.

Answer 1

To calculate the kilograms of fresh acid needed, use the principle of the conservation of mass. Set up an equation using the mass of H2SO4 in the fresh acid and the desired composition of the final product, and solve for X. X will be the mass of fresh acid in kg.

Step-by-step explanation:

To calculate the kilograms of fresh acid needed, we can use the principle of the conservation of mass. We know that the final product will weigh 1000 kg, and it is made up of 40% H2SO4.

Let X be the mass of fresh acid in kg. The mass of H2SO4 in the fresh acid is 30% of X, which is 0.30X. The mass of H2SO4 in the final product is 40% of 1000 kg, which is 0.40 * 1000 = 400 kg. So, we can set up the equation 0.30X = 400 and solve for X. X = 400 / 0.30 = 1333.33 kg.