From the description, the graph of Volume ($V$) versus Temperature ($T$) is a straight line passing through the origin (implied by the variation $V \propto T$). This indicates that the process is isobaric (constant pressure).

1. Work Done ($W$): In an isobaric process, the work done by the gas is given by: $W = P\Delta V = nR\Delta T$

2. Heat Absorbed ($Q$): The heat absorbed at constant pressure is given by: $Q = nC_p\Delta T$ Where $C_p$ is the molar heat capacity at constant pressure.

3. Specific Heat for Monatomic Gas: For a monatomic ideal gas, the molar heat capacity at constant pressure is: $C_p = \frac{5}{2}R$ (Source: Appendix, Molar Heat Capacities )

4. Calculate Ratio: $\text{Ratio} = \frac{\text{Work Done}}{\text{Heat Absorbed}} = \frac{W}{Q} = \frac{nR\Delta T}{nC_p\Delta T} = \frac{R}{C_p}$ Substituting $C_p = \frac{5}{2}R$: $\text{Ratio} = \frac{R}{\frac{5}{2}R} = \frac{2}{5}$