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If the original volume of gas in your thermometer is 30.0 mL at 0 °C, what is the temperature of the hot water in Celsius if the volume of gas is now 39.3 mL?

Answer :

Final answer:

Based on Charles's Law, which relates gas temperature and volume at constant pressure, you can solve for the new temperature in Kelvin when the gas volume in a thermometer increases from 30.0 mL to 39.3 mL. Be sure to convert temperatures to Kelvin before using this law.

Explanation:

Your question pertains to the principles of Charles's Law, which relates the volume and temperature of a gas at constant pressure. Initially, your thermometer holds 30.0 mL of gas at 0 °C. If the volume increases to 39.3 mL, we are asked to find the resulting temperature.

Charles's Law can be expressed as V1/T1 = V2/T2, where V is volume and T is temperature. However, it is important to remember that the temperature must be in Kelvin for this law to be applicable. Therefore, the initial temperature (T1) is 0 °C or 273 K. We can now apply the given values in the above equation and solve for the new temperature (T2) when the volume is 39.3 mL.

It's essential to note that in using a thermometer, we expect the volume of contained gas to increase with rising temperature, as predicted by Charles's Law. This is the principle by which a gas thermometer operates.

Learn more about Charles's Law here:

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