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IgorC [24]
3 years ago
6

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?
Chemistry
2 answers:
ch4aika [34]3 years ago
8 0

7.8 degrees Celsius

solong [7]3 years ago
5 0

Answer: 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.

P\propto T

Or,

\frac{P_1}{T_1}=\frac{P_2}{T_2}

where,

P_1 = initial pressure = 893 mmHg = 1.175atm (Conversion factor: 1atm = 760mmHg)

T_1 = initial temperature = 49.3°C = [49.3 + 273.15]K = 322.45K

P_2 = Final pressure = 778mmHg = 1.023atm

T_ = Final temperature = ?°C

Putting values in above equation, we get:

\frac{1.175atm}{322.45K}=\frac{1.023atm}{T_2}\\\\T_2=280.73K

Converting Final temperature from kelvin to degree Celsius.

T_2=280.73K=[280.73-273.15]^oC=7.58^oC

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

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