450 ml of oxygen gas is collected at 27°C. If for a particular use, the volume has to be reduced to 1/3
of its original volume, find the temperature to which the gas has to be cooled ? (pressure constant]
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Answer:
100K or -173 C
Explanation:
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Given - Volume and temperature
Find - Temperature
Solution - The temperature to which the gas has to be cooled is -173 °Celsius
Final volume = 1/3*Original volume
Final volume = 1/3*450
Final volume = 150 millilitres
Volume and temperature are related to each other as follows -
Volume 1/Temperature 1 = Volume 2/Temperature 2
The temperature in Kelvin = 27 + 273
The temperature in Kelvin = 300 Kelvin
Keep the values in the formula to find the value of the final temperature.
450/300 = 150/Temperature 2
Temperature 2 = 150*300/450
Temperature 2 = 100 Kelvin
The temperature in Celsius = -173 °Celsius
Thus, the gas should be cooled to -173 °Celsius
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