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Write the equations with conditions for the manufacture of nitric acid by Ostwald's process.

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Manufacture of nitric acid by ostwald.s process occur in the following three steps.
Step 1 : Oxidation ammonia to nitric oxide
`4NH_(3(g))+5O_(2(g))overset("pt/Rh catalyst")underset("500k, 9 bar")rarr 4NO_((g))+6H_(2)O_((l))`
Step 2 : Oxidation of NO to `NO_(2)`
`2NO_((g))+O_(2(g))rarr2NO_(2(g))`
Step 3 : Absorption of nitrogen dioxide in water to give `HNO_(3)`
`3NO_(2(g))+H_(2)O_((l))rarr2HNO_(3(aq))+NO_((g))`
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