Answer: 584 mm Hg
Step-by-step explanation:
According to Raoult's law, the partial pressure of a component at a given temperature is equal to the mole fraction of that component multiplied by the total pressure.
![p_1=x_1P](https://img.qammunity.org/2020/formulas/chemistry/high-school/hj5hdq0upapq3tj31hivue5rszkfy5dxlx.png)
where, x = mole fraction
= total pressure = 749 mmHg
![x_(N_2)=\frac{\text {moles of }N_2}{\text {total moles}}=(78)/(100)=0.78](https://img.qammunity.org/2020/formulas/chemistry/high-school/oosz51ens2epkhbtifyev91j55tovc92o2.png)
Putting in the values we get:
![p_1=0.78* 749mmHg=584mmHg](https://img.qammunity.org/2020/formulas/chemistry/high-school/gd2o2dzjn60g0gz0yjt2vwvg32g1iljfjt.png)
The partial pressure of nitrogen will be 584 mmHg