A quantity of air is kept in a container having walls which are slightly conducting. The initial temperature and volume are `27^0C` (equal to the temperature of the surrounding) and `800cm^(3)` respectively. Find the rise in the temperature if the gas is compressed to `200 cm^(3)` (a) in a short time (b) in a long time . Take gamma= 1.4.

Explanation

To solve the problem step by step, we will analyze both parts of the question regarding the compression of air in the container.

### Given Data:
- Initial Temperature, \( T_1 = 27^\circ C = 300 K \) (converted to Kelvin)
- Initial Volume, \( V_1 = 800 \, cm^3 \)
- Final Volume, \( V_2 = 200 \, cm^3 \)
- \( \gamma = 1.4 \)

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