Question

When 1 mole of CO\(_2\) occupying volume 10L at 27°C is expanded under adiabatic condition, temperature falls to 150 K. Hence, final volume is

• A. 5L
• B. 20L
• C. 40L
• D. 80L

Hint:

In adiabatic processes, the relationship between temperature and volume is given by \( T_1 V_1^{\gamma - 1} = T_2 V_2^{\gamma - 1} \).

Answer 1

The Correct Option is D

Step 1: Applying the adiabatic condition.
For an adiabatic expansion of gases, the relation \( P_1 V_1^\gamma = P_2 V_2^\gamma \) can be used. Using the given temperature and volume, we can find the final volume.

Step 2: Conclusion.
The final volume of the gas is 80L, which corresponds to option (4).