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[tex]\large \mathbb {INSTRUCTION:}[/tex]

• Ammonium sulfate, an important fertilizer, can be prepared by the reaction of ammonia with sulfuric acid.

[tex]\sf 2NH_3(g+H_2SO_4(aq)→(NH_4)_2SO_4(aq)[/tex]

[tex] = = = = = = = = = = = = = = = = = = = = = = = = = = = = [/tex]

[tex]\large \mathbb {QUESTION:}[/tex]

• What volume of NH3(g) is needed at 20 degrees Celsius and 25.0 atm to react with 150 kg of H2SO4?

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[tex]\large \mathbb {IDEAL \: GAS \: EQUATION:}[/tex]

• The taken gas will obey the general ideal conditions in the ideal gas law.

• The quantitative formulation can be obtained by rearranging the basic "ideal gas equation" (PV = nRT) as shown below.

[tex]\sf\:Volume=\frac{Moles×Gas \: constant×Temperature}{Pressure} [/tex]

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[tex]\large \mathbb {GIVEN \: DATA:}[/tex]

• The mass of sulfuric acid is 150 kg that means 150000 g.

• The pressure is 25.0 atm.

• The temperature is 20°C that means 20 + 273 K = 293 K.

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[tex]\large \mathbb {SOLUTION:}[/tex]

The chemical reaction is shown below.

• [tex] \sf \: 2NH_3(g)+H_2SO_4(aq)→(NH_4)_2SO_4(aq)[/tex]

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The molar mass of sulfuric acid is 98.079 g/mol.

The moles of sulfuric acid can be calculated as shown below.

• [tex] \sf \: Moles = \frac{Mass}{Molar \: mass}[/tex]

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Substitute the respective values in the above equation.

[tex] \sf \: Moles= \frac{Moles=150000g}{98.079g/mol} \\ \\ \sf \boxed{ \sf \: =1529.38mol}[/tex]

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According to the above reaction, 1 mole of sulfuric acid reacts with 2 moles of ammonia.

So, the moles of ammonia are [tex]\sf \: 2 \times 1529.38mol=3058.76mol.[/tex]

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The volume of ammonia can be calculated as shown below.

• [tex] \sf \: Volume = \frac{Moles \times Gas \: Constant \times Temperature}{Pressure} [/tex]

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The value of gas constant is 0.0821 L.atm/mol.K.

Substitute the respective values in the above equation.

• [tex] \sf \: Volume = \frac{3058.76mol \times 0.0821L.atm/mol.K×293K }{ 25.0atm} [/tex]

[tex]\sf \boxed {= \:2943L}[/tex]

Hence the answer is: 2943 L

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What is the Ideal Gas Law:

https://brainly.ph/question/289453

Read more about the ideal gases here:

https://brainly.ph/question/2117053

Know more about gas law here:

https://brainly.ph/question/2119300

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Ammonia sulfate, an important fertilizer, can be prepared by the reaction of ammonia with sulfuric acid: 2NH3(g)+ H2SO4(aq) → (NH4)2SO4(aq) Calculate the volume of NH3(g) needed at 298 K and 25 atm to react with 1500 g of H2SO4.

the answer is 2943 L

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