The statement is false as 85675 grams of nitrogen dioxide is produced instead of 20 grams.
Step-by-step explanation:
Balance equation for the reaction:
2NO +
⇒ 2N
![O_(2)](https://img.qammunity.org/2021/formulas/chemistry/college/y20r9bphs25qvew38xwm8etgh7uxwtk36w.png)
Data given:
mass of nitrogen produced = 20 gram
mass of oxygen = 29.8 litres or 29800 grams
0xygen is the limiting reagent so,
number of moles of oxygen: (atomic mass of 1 mole 32 grams/mole
number of moles =
![(mass)/(atomic mass of 1 mole)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/etdel16ed6rk1gzvpxl9k8xjq0wos1bgnw.png)
putting the values in the equation:
=
![(29800)/(32)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/f10meb7ubsd33vi9l7ch0bbwu6yh97ss4m.png)
= 931.5 moles
1 mole of oxygen reacts to give 2 moles of NO2
931.5 moles of oxygen will give x moles
=
![(x)/(931.5)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/nrger9089s9dvw50xsi7jqfjaduoi5ys2l.png)
1862.5 moles of NO2 produced
in grams
mass = number of moles x atomic mass
mass = 1862.5 x 46.00
= 85675 grams
The statement is false as 85675 grams of nitrogen dioxide is produced instead of 20 grams as said in question.