What volume of O2 at 912 mmHg and 35 ∘C is required to synthesize 23.5 mol of NO?
Can someone please show me step by step.
Answer -
This question includes mix concept of the mole concept and ideal gas law.
First, we write a balanced chemical reaction.
4 NH3 + 5 O2 ---------. 4 NO + 6 H2O ....[ Balanced
Equation ]
moles of O2 required = ( 22.5 mol NO ) ( 5 mol O2 / 4 mol NO
)
O2 required = 28.125 mole O2
or
Where,
n= number of moles, T =temperature , R = universal gas constant=
0.08205 atm - L per mol - K, V= volume and P=pressure
V = ( 28.125mole ) ( 0.08205 ) ( 35.0 + 273.15) / ( 916 / 760 )
(760mm Hg = 1atm)
V= 589.99 = 590 L
Hence,590L of O2 is required.
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