A gaseous mixture of 30 mol% CO₂ and 70 mol% CH₄ enters a valve at 70 bar and 40°C and exits at 5.3 bar. Does any CO₂ condense? Assume that the mixture follows the virial equation. Assume that any liquid that forms is pure CO₂. The vapor pressure of CO₂ may be estimated by the shortcut vapor pressure equation. CO₂ sublimes at 0.1013 MPa and -78.8°C, although freezing is less likely.