$[0/1$ Points$]$

$$ SERPSE$1019\mathrm{.}4\mathrm{.}0$P$\mathrm{.}013.$

$q,$

Determine the amount of work done on an ideal gas as it is heated in an enclosed thermally isolated cylinder topped with a freely moving piston. The cylinder contains of $n$ moles of the gas and the temperature is raised from $T_1$ to $T_2.$ The piston has a mass $m$ and a cross sectional area $A.($Use any variable or symbol stated above along with the following as necessary: $R.)$

$w=$

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Note that we want the work done on the gas and not the work done by the gas. See if you can find a way to express the work done on the gas in terms of the number of moles of the gas and its change in temperature. If you can do this, you will not need to determine the pressure of the gas.