Answer:
5.47 atm
Step-by-step explanation:
We have an initial state in which the air is at a temperature of 25 degrees and a pressure of 3.80 atm
We also have a final state in which the temperature is 36 degrees and we have to find out the pressure
For two different states it meets the following equation
![(P_1.V_1)/(T_1)=(P_2.V_2)/(T_2)](https://img.qammunity.org/2019/formulas/chemistry/high-school/kr5olzi552bm4tjk3qsmpoavkpbczlynbu.png)
As we are told that the air is in a closed cylinder the volume is always constant, it is the same on both sides (
) so we can simplify it and the equation is as follows
![(P_1)/(T_1)=(P_2)/(T_2)](https://img.qammunity.org/2019/formulas/chemistry/high-school/2ealtskjsiokhghd57xfz1hach6fv8wao8.png)
Now we clear the final pressure (
)
![(P_1)/(T_1).T_2=P_2\\\\(3.80atm)/(25\ºC).36\ºC=P_2\\\\5.47 atm= P_2](https://img.qammunity.org/2019/formulas/chemistry/high-school/mc1jvjdd4tdi7qordbh0jncsbbmy5jl6zu.png)
The final pressure is 5.47 atm