
Julia S. answered 07/27/21
Math and Science Made Manageable
For this we can use an amended version of the ideal gas law in which
(P1V1)/T1 = (P2V2)/T2
where the left side of the equation is the initial conditions and the right side is the resulting conditions. Since there is no change in volume, we can exclude volume from our equation to get
P1/T1 = P2/T2
Since the equation is derived from the ideal gas law in which temperature is given in Kelvin, we'll convert our temperatures to Kelvin. Our initial 69ºC becomes 342.15 K and the final 45ºC becomes 318.15 K. Plugging into our equation, we get
0.995/342.15 = P2/318.15
Solve for the final pressure (units are in atm since that's what we plugged in) to get:
P2 = 0.925 atm