Question

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?

Answer 1

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

`(P_1V_1)/(T_1)=(P_2V_2)/(T_2)`

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:

`\frac{1atm_{}*1L}{298K}=(P_2*1L)/(1273K)`

Then solve P2. P2 = 4.272 atm