Hi, I did a lab experiment where I took a 5L vessel made of some material that isolates gas inside and thus behaves like an isolated system (adiabatic). I then pumped gas from ~90kPa to up to 150 kPa... recorded the temperature, then let the gas 'expand' by opening the piston and recorded the change in Temperature (usually of about 0.4 °C) with an about ~20-30 kPa change in internal pressure.
I have the following data.
T1 P1 T2 P2
Trial 1 27.1 142.5 26.7 95.7
Trial 2 28.1 143.5 27.7 83.9
trial 3 29.2 147.16 28.7 108.00
I need to calculate the amount of work done by this gas.
ΔU = q + w
ΔU = w
w = pΔV
The Attempt at a Solution
I dont know how to begin... I think i approximated the volume to be constant (Despite some gas being released.
But that doesnt make sense because then no expansion, means no work....
How then do i calculate the work done adiabatically? The temperature dropped, and so the pressure... any help?