Final answer:
The mass of hydrogen fluoride gas produced is 113.6 g.
Step-by-step explanation:
The balanced chemical equation for the reaction between ammonia gas and chlorine trifluoride gas is:
8 NH3 (g) + 3 ClF3 (g) → 6 NF3 (g) + 9 HCl (g)
To find the mass of hydrogen fluoride gas produced, we need to calculate the amount of chlorine trifluoride that reacts completely with 30.0 g of ammonia. We can start by determining the moles of chlorine trifluoride:
175 g ClF3 * (1 mol ClF3 / 92.45 g ClF3) = 1.892 mol ClF3
Since the stoichiometric ratio between ClF3 and HF is 3:9, we can use this ratio to calculate the moles of HF:
1.892 mol ClF3 * (9 mol HF / 3 mol ClF3) = 5.676 mol HF
Finally, we can convert the moles of HF to grams:
5.676 mol HF * (20.01 g HF / 1 mol HF) = 113.6 g HF