Problem 12:  A constant-volume thermometer consists of a rigid bulb and a pressure gauge. To obtain accurate results, this thermometer must be calibrated at a known pressure and temperature. Once this is done, the bulb is sealed off from the atmosphere. The volume and number of moles of gas can no longer change and the temperature is calculated from the pressure measurement. Part (a)  A particular constant-volume thermometer is calibrated by opening it to the atmosphere while the bulb is in a bath of boiling water. Enter an expression for the temperature of the thermometer, in degrees Celsius, in terms of its pressure, PPP, in atmospheres.   Part (b)  When the constant-volume thermometer that was calibrated as described in part (a) is used to measure a temperature, it shows a pressure of 0.93 atm. What temperature is it indicating, in degrees Celsius?  Part (c)  The thermometer is recalibrated by opening it to the atmosphere while the bulb is in a bath of ice water. Enter an expression for the temperature of the thermometer, in degrees Celsius, in terms of the pressure, PPP, in atmospheres.  Part (d)  The recalibrated thermometer of part (c) shows a pressure of 0.92 atm. What temperature does that indicate, in degrees Celsius?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
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Problem 12:  A constant-volume thermometer consists of a rigid bulb and a pressure gauge. To obtain accurate results, this thermometer must be calibrated at a known pressure and temperature. Once this is done, the bulb is sealed off from the atmosphere. The volume and number of moles of gas can no longer change and the temperature is calculated from the pressure measurement.

Part (a)  A particular constant-volume thermometer is calibrated by opening it to the atmosphere while the bulb is in a bath of boiling water. Enter an expression for the temperature of the thermometer, in degrees Celsius, in terms of its pressure, PPP, in atmospheres.  

Part (b)  When the constant-volume thermometer that was calibrated as described in part (a) is used to measure a temperature, it shows a pressure of 0.93 atm. What temperature is it indicating, in degrees Celsius? 

Part (c)  The thermometer is recalibrated by opening it to the atmosphere while the bulb is in a bath of ice water. Enter an expression for the temperature of the thermometer, in degrees Celsius, in terms of the pressure, PPP, in atmospheres. 

Part (d)  The recalibrated thermometer of part (c) shows a pressure of 0.92 atm. What temperature does that indicate, in degrees Celsius? 

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