$2\mathrm{.}98$ A cylinder has a thick piston initially held by a pin, as shown in Fig. P$2\mathrm{.}98.$ The cylinder contains carbon dioxide at $200$ kPa and ambient temper$-$ ature of $290$ K$.$ The metal piston has a density of $8000$kg $/($m $^3)$ and the atmospheric pressure is $101$ kPa. The pin is now removed, allowing the piston to move, and after a while the gas returns to ambient temperature. Is the piston against the stops?

FIGURE P$2\mathrm{.}98$