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± The Ideal Gas Law and Stoichiometry Part A The industrial production of nitric

ID: 698844 • Letter: #

Question

± The Ideal Gas Law and Stoichiometry Part A The industrial production of nitric acid (HNO3) is a multistep process. The first step is the oxidation of ammonia (NH3) over a catalyst with excess oxygen (02) to produce nitrogen monoxide (NO) gas as shown by the unbalanced equation given here What volume of O2 at 760. mmHg and 37 °C is required to synthesize 22.0 mol of NO? Express your answer to three significant figures and include the appropriate units Hints ?NH3 (g)+7O3 (g)-?NO(g) +7H20(g) volume of o 839.883 L Submit My Answers Give Up ncorrect, Try Again; 2 attempts remaining

Explanation / Answer

The balanced reaction is 4NH3 (g) + 5O2(g) ---> 4NO(g) + 6H2O(g)

4 moles of NO synthesized from 5 moles of O2

22.0 moles of NO synthesized from (22.0x5)/4 = 27.5 moles of O2

Calculation of volume of Oxygen :

We know that ideal gas equation is PV = nRT

Where

T = Temperature = 37 oC = 37+273 = 310 K

P = pressure = 760 mm Hg = 1atm

n = No . of moles = 27.5 mol

R = gas constant = 0.0821 L atm / mol - K

V= Volume of the gas = ?

Plug the values we get V = (nRT) / P

= 700 L