Using the phase diagram for [tex]\( \text{CO}_2 \)[/tex], what phase is carbon dioxide in at [tex]\( -70^\circ \text{C} \)[/tex] and 1 atm pressure?

A. It is at its melting point.
B. It is in the liquid phase.
C. It is in the gas phase.
D. It is in the solid phase.



Answer :

To determine the phase of carbon dioxide (CO₂) at a specific temperature and pressure, such as -70°C and 1 atm, we refer to its phase diagram. A phase diagram displays the state of matter (solid, liquid, or gas) based on temperature and pressure.

1. Understanding Temperature and Pressure Conditions:
- The given temperature is -70°C.
- The given pressure is 1 atm.

2. Interpreting the Phase Diagram:
- On a phase diagram, the boundaries between phases (solid, liquid, and gas) are marked by lines called phase boundaries or phase transition lines.
- The diagram typically includes regions labeled as solid, liquid, or gas, indicating the conditions under which CO₂ exists in those states.
- The triple point of CO₂ occurs at -56.6°C and 5.1 atm; below this pressure and at temperatures below the sublimation point at 1 atm (-78.5°C), CO₂ exists as a solid.

3. Locating the Given Conditions on the Phase Diagram:
- At -70°C and 1 atm, the temperature is lower than the triple point temperature (-56.6°C), and the pressure is significantly higher than the sublimation point pressure of CO₂ at 1 atm (-78.5°C).
- These conditions fall within the region where CO₂ exists as a solid.

4. Conclusion:
- Under the specified conditions of -70°C and 1 atm, CO₂ is found in the solid phase.

Therefore, the correct answer is:
D. It is in the solid phase.