2010014706

In the experimental process, the ideal gas is expanded adiabatically from an initial volume of $V_1=0.3{\mathrm{m}}^3$ to a final volume of $V_2=0.8{\mathrm{m}}^3$. Find a work done by the gas in the given process. Hint: An adiabatic process with an ideal gas follows the relationship $p{V}^{1.4}=c$, where $p$ is a gas pressure, $V$ is a gas volume, and $c$ is a positive constant. The work $W$ done by a gas is defined as $W={\int }_{V_1}^{V_2}p\mathrm{d}V$.