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Answer :
Final answer:
Using the principle of Charles's Law, if the volume of a gas is 97.5 ml at 45 degrees Celsius and the temperature drops to 0 degrees Celsius with constant pressure, the gas will occupy a volume of approximately 83.8 ml.
Explanation:
This question can be addressed using the concept of Charles's Law from Physics which states that the volume of a given mass of an ideal gas is proportional to its temperature, provided the pressure is held constant. This means we can express this relationship as the ratio of the initial volume and initial temperature equals the ratio of the final volume and final temperature. In equation form: V1/T1 = V2/T2.
In this case, the initial volume (V1) is 97.5 ml, the initial temperature (T1) is 45 degrees Celsius = 45+273 = 318 K. The final temperature (T2) is 0 degrees Celsius = 0+273 = 273 K. What we are seeking is the final volume (V2).
To find V2 we rearrange the formula to: V2 = V1 * T2/T1 = 97.5 * 273/318 = 83.8 ml. Therefore, the gas sample will occupy a volume of approximately 83.8 ml at 0 degrees Celsius when the pressure is held constant.
Learn more about Charles's Law.
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