To find the new temperature of the gas when the volume changes, we can use the combined gas law, which relates the initial and final conditions of pressure, volume, and temperature of a gas.
The combined gas law equation is as follows:
(P1 * V1) / T1 = (P2 * V2) / T2
Where: P1 = Initial pressure V1 = Initial volume T1 = Initial temperature P2 = Final pressure V2 = Final volume T2 = Final temperature
Let's plug in the given values into the equation:
P1 = 800 torr V1 = 10 L T1 = 127°C + 273.15 (converting to Kelvin) = 400.15 K P2 = remains unknown V2 = 7.2 L T2 = remains unknown
Now we can rearrange the equation to solve for T2:
T2 = (P2 * V2 * T1) / (P1 * V1)
Let's substitute the values and calculate the new temperature:
T2 = (P2 * 7.2 * 400.15) / (800 * 10)
To solve for T2, we need to know the final pressure (P2). If you have the final pressure, please provide that value so I can calculate the temperature for you.