Question

According to Andrews isothermals, at what temperature the carbon dioxide gas starts to condense at 73 atmosphere?

• A. 21.5\(^\circ\)C
• B. 30.98\(^\circ\)C
• C. 13.1\(^\circ\)C
• D. 48.1\(^\circ\)C

Hint:

To find the condensation temperature for a gas, refer to the isothermal curves for that gas at the given pressure.

Answer 1

The Correct Option is B

Step 1: Understanding Andrews Isotherms.
Andrews isotherms provide information about the behavior of gases at different pressures and temperatures. For carbon dioxide, the temperature at which it begins to condense into a liquid at a pressure of 73 atm is a critical value known from experimental data. This value corresponds to the temperature 30.98\(^\circ\)C.

Step 2: Analyzing the options.
(A) 21.5\(^\circ\)C: Incorrect. This temperature is lower than the condensation temperature at 73 atm.
(B) 30.98\(^\circ\)C: Correct. This is the correct temperature at which CO\(_2\) starts to condense at 73 atm, as observed from the isothermal curves for CO\(_2\).
(C) 13.1\(^\circ\)C: Incorrect. This temperature is much lower than the actual condensation point at 73 atm.
(D) 48.1\(^\circ\)C: Incorrect. This is too high a temperature for the condensation of CO\(_2\) at 73 atm.

Step 3: Conclusion.
The correct temperature at which carbon dioxide starts to condense at 73 atm is 30.98\(^\circ\)C, corresponding to option (B).