A gas is trapped in a sealed syringe, as illustrated. The gas volume at room temperature is $2.0\,\text{cm}^3$. Atmospheric pressure is $101\,\text{kPa}$. What is the work done by the gas as it is heated and expands to a volume of $6.0\,\text{cm}^3$?
- A$404\,\mu\text{J}$
- B$404\,\text{mJ}$
- C$404\,\text{J}$
- D$404\,\text{kJ}$