question_answer

A cylinder of ideal gas is closed by an \[8.00\text{ }kg\]movable piston (area\[=60\text{ }c{{m}^{2}}\]) as shown in figure. Atmospheric pressure is\[100\text{ }kPa\]. When the gas is heated from \[30.0{}^\circ C\]to \[100.0{}^\circ C,\] the piston rises by\[20.0\text{ }cm\]. The piston is then fastened in place, and the gas is cooled back to\[30.0{}^\circ C\]. If \[\Delta {{Q}_{1}}\] is the heat added to the gas in the heating process and \[\Delta {{Q}_{2}}\] is the heat lost during cooling, find the difference \[\left| \Delta {{Q}_{1}} \right|-\,\left| \Delta {{Q}_{2}} \right|\](in calories).

Answer:

32.5