Two moles of nitrogen gas are sealed in a 1L fixed-volume cylinder at 25 °C and 1 atmosphere of pressure. If the cylinder is heated to 1000 °C in an incinerator, what is the pressure inside of the cylinder?

Respuesta :

To solve this question we need to use the combined gas law:

[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]

sufix 1 reffears to the initial state and sufix 2 reffears to the final state. P is pressure, V volume and T temperature (in Kelvin). They are asking for the pressure at the final state (P2) and they give the initial conditions: P1= 1atm, V1=1L T1=25°C=298K and the final temperature T2=1000°C= 1273 K. They alse say that the Volume is fixed so V2=V1=1L. then we just have to substitute the values into the eqaution:

[tex]\frac{1atm_{}\times1L}{298K}=\frac{P_2\times1L}{1273K}[/tex]

Then solve P2. P2 = 4.272 atm