Answer:
OB) 1.0 atm
Step-by-step explanation:
we have a mixture of hydrogen, nitrogen and methane and we have the following data
![P_t= 3.0 atm](https://img.qammunity.org/2020/formulas/chemistry/middle-school/8ch3jymfpjjos9c8vgff5yzo0auaku6oyh.png)
![P_H=0.5atm\\P_(CH_4)=1.5 atm\\P_N=?](https://img.qammunity.org/2020/formulas/chemistry/middle-school/2gc5f8rb0tuqvj9iw6nchjlqqw7ohs0ntl.png)
According to the law of Dalton the sum of the partial pressures of each gas is equal to the total pressure
Total pressure equation
![P_t=P_H+P_(CH_4)+P_N](https://img.qammunity.org/2020/formulas/chemistry/middle-school/bqc6dd8er3nx3md199wjjdt6a8vxx3xnfx.png)
now we clear the partial pressure of nitrogen from the equation
![P_t=P_H+P_(CH_4)+P_N\\P_t-P_H-P_(CH_4)=P_N\\3amt-0.5atm-1.5atm=P_N\\1atm=P_N](https://img.qammunity.org/2020/formulas/chemistry/middle-school/353h64fvs3y2rtzlz66oe1on92tehng23m.png)
the partial pressure of nitrogen is 1 atm
the correct answer is OB) 1.0 atm