Answer : The total pressure in the cylinder is 7.5 atm.
Solution :
According to the Dalton's law, the total pressure of the gas is equal to the sum of the partial pressure of the mixture of gasses.
![P_T=p_(He)+p_(CO_2)+p_(N_2)](https://img.qammunity.org/2020/formulas/chemistry/high-school/znu6x7kglkxm7hjhor1jer62mfti67ti3o.png)
where,
= total partial pressure in the cylinder = ?
= partial pressure of helium = 4.21 atm
= partial pressure of carbon dioxide = 0.6 atm
= partial pressure of nitrogen = 2.7 atm
Now put all the given values is expression, we get:
![P_T=4.21atm+0.6atm+2.7atm](https://img.qammunity.org/2020/formulas/chemistry/high-school/1drze7a2h0bjob7k4kdpgcmdafaw8rqbk5.png)
![P_T=7.5atm](https://img.qammunity.org/2020/formulas/chemistry/high-school/jdvvovworu9tgpnoklubrm2htmm7lo6nme.png)
Therefore, the total pressure in the cylinder is 7.5 atm.