Answer:
![m_(N_2)=93.3gN_2](https://img.qammunity.org/2022/formulas/chemistry/high-school/31pql2mez5fqajstwnlttpb0uz2u1dtkmc.png)
Step-by-step explanation:
Hello there!
In this case, for this stoichiometry-based problem, it is firstly necessary to realize that the decomposition of ammonium dichromate is given by:
![(NH_4)_2Cr_2O_7(s)\rightarrow N_2(g)+4H_2O(l)+Cr_2O_3(s)](https://img.qammunity.org/2022/formulas/chemistry/high-school/wiiqekhzj96pwxje0l3dcm3i50lopzj6cm.png)
Thus, since the mole ratio between ammonium dichromate and the gaseous nitrogen (molar mass = 28.02 g/mol) is 1:1, we can compute the produced mass of the latter via stoichiometry as shown below:
![m_(N_2)=3.33mol(NH_4)_2Cr_2O_7*(1molN_2)/(1mol(NH_4)_2Cr_2O_7)*(28.01gN_2)/(1molN_2)\\\\ m_(N_2)=93.3gN_2](https://img.qammunity.org/2022/formulas/chemistry/high-school/zy88jdhsynildxqeyzk6oujpjxqvoykh3w.png)
Best regards!