When the pressure that a gas exerts on a sealed container changes from 893 mm hg to 778 mm hg, the temperature changes from 49.3 degrees c to degrees c?

The final temperature of the gas is 7.58 °C.

Explanation: We are given initial and final pressure of the system and we need to find the final temperature of the system.

To calculate it, we use the equation given by Gay-Lussac.

His law states that pressure is directly related to the temperature of the gas.

Or,

where,

= initial pressure = 893 mmHg = 1.175atm (Conversion factor: 1atm = 760mmHg)

= initial temperature = 49.3°C = [49.3 + 273.15]K = 322.45K

= Final pressure = 778mmHg = 1.023atm

= Final temperature = ?°C

Putting values in above equation, we get:

Converting Final temperature from kelvin to degree Celsius.

Hence, the final temperature of the gas is 7.58 °C.

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