Answer:
Limiting reagent: fluorine.
Theoretical yield of ClF₃: 4.62 g.
Step-by-step explanation:
Hello,
In this case, one could identify the limiting reagent by comparing the available chlorine with the consumed chlorine by the fluorine considering the ideal gas equation and the 1 to 3 respectively stoichiometric relationship between them as shown below:
![n_(Cl_2) ^(available)=(337mmHg*(1atm)/(760mmHg)*1.60L)/(0.082(atm*L)/(mol*K)*298K)=0.029molCl_2](https://img.qammunity.org/2021/formulas/chemistry/college/hhw7532y2oigcjm2t4l4bz8ynnjr2j7zy9.png)
![n_(Cl_2) ^(consumed \ by\ F_2 )=(877mmHg*(1atm)/(760mmHg)*1.60L)/(0.082(atm*L)/(molF_2*K)*298K)*(1molCl_2)/(3molF_2) =0.025molCl_2](https://img.qammunity.org/2021/formulas/chemistry/college/fqphdz9u3mr22kapvml1dr424yzcrrwoxi.png)
In such a way, there are 0.004 excess moles of chlorine, which means that fluorine is the limiting reagent. Therefore, the theoretical yield of ClF₃ turns out:
![m_(ClF_3)=0.025molCl_2*(2molClF_3)/(1molCl_2)*(92.448gClF_3)/(1molClF_3)=4.62gClF_3](https://img.qammunity.org/2021/formulas/chemistry/college/t098ejp6nl3lyu8vhe64p7zrhxuq5itr25.png)
Best regards.