Temperature Scales and Thermometric Properties

Match each thermometer type listed on the left with its corresponding thermometric property on the right.

A resistance thermometer has a resistance of $4.0\,\Omega$ at the ice point ($0^\circ\text{C}$) and $6.0\,\Omega$ at the steam point ($100^\circ\text{C}$). When immersed in a liquid bath, its resistance is measured to be $5.2\,\Omega$. What is the temperature of the bath?

The length of the mercury column in an uncalibrated liquid-in-glass thermometer is $2.0\,\text{cm}$ at the ice point ($0^\circ\text{C}$) and $18.0\,\text{cm}$ at the steam point ($100^\circ\text{C}$). What is the temperature when the length of the mercury column is $9.2\,\text{cm}$?

Match each experimental temperature measurement requirement on the left with the most appropriate thermometric instrument on the right based on its thermometric property and operational characteristics.

A thermometer calibrated on an arbitrary scale $X$ registers a lower fixed point of $-10^\circ\text{X}$ and an upper fixed point of $110^\circ\text{X}$. What is the true temperature in degrees Celsius ($^\circ\text{C}$) when this thermometer reads $20^\circ\text{X}$?

A thermometer is calibrated on a custom scale, $X$, where the ice point ($0^\circ\text{C}$) is marked as $-10^\circ\text{X}$ and the steam point ($100^\circ\text{C}$) is marked as $110^\circ\text{X}$. What is the reading on this custom scale when a standard Celsius thermometer reads $35^\circ\text{C}$?

A constant-volume gas thermometer registers a pressure of $50\,\text{kPa}$ at the ice point ($0^\circ\text{C}$) and $70\,\text{kPa}$ at the steam point ($100^\circ\text{C}$). What is the temperature when the gas pressure measured by the thermometer is $62\,\text{kPa}$?

A thermometric property $X$ of a system has a value of $15.0\,\text{units}$ at the ice point ($0^\circ\text{C}$) and $75.0\,\text{units}$ at the steam point ($100^\circ\text{C}$). If the thermometric property is measured as $33.0\,\text{units}$ when immersed in a chemical bath, what is the temperature of the bath on the absolute thermodynamic scale?

Match each type of thermometer with its corresponding physical thermometric property.

Match each temperature scale reference state on the left with its correct thermodynamic definition on the right.

A resistance thermometer registers a resistance of $5.0\,\Omega$ at the ice point ($0^\circ\text{C}$) and $25.0\,\Omega$ at the steam point ($100^\circ\text{C}$). When placed in a heated liquid bath, the resistance measured is $30.0\,\Omega$. What is the temperature of the bath on the Kelvin scale?

The length of the mercury column in an uncalibrated thermometer is $4.0\,\text{cm}$ at the ice point ($0^\circ\text{C}$) and $24.0\,\text{cm}$ at the steam point ($100^\circ\text{C}$). What is the temperature in degrees Celsius when the length of the mercury column is $19.0\,\text{cm}$?

A faulty liquid-in-glass thermometer registers a reading of $5^\circ\text{C}$ at the melting ice point and $95^\circ\text{C}$ at the steam point of pure water under standard atmospheric pressure. What is the actual temperature in degrees Celsius when this thermometer registers a reading of $41^\circ\text{C}$?

A platinum resistance thermometer has a resistance of $10\,\Omega$ at the ice point ($0^\circ\text{C}$) and $50\,\Omega$ at the steam point ($100^\circ\text{C}$). When placed in a warm liquid bath, an uncalibrated digital ohmmeter reads $38\,\Omega$. If the ohmmeter has a known positive zero error of $+4\,\Omega$ (indicating $4\,\Omega$ above the true resistance), what is the actual temperature of the liquid bath on the absolute scale in kelvins?

Match each thermometer type on the left with its corresponding physical thermometric property on the right.

A thermocouple thermometer produces an electromotive force (e.m.f.) of $2.0\,\text{mV}$ at the ice point ($0^\circ\text{C}$) and $18.0\,\text{mV}$ at the steam point ($100^\circ\text{C}$). When placed in a liquid bath, the recorded e.m.f. is $14.0\,\text{mV}$. What is the temperature of the liquid bath on the Celsius scale?

A constant-volume gas thermometer registers a pressure of $60\,\text{kPa}$ at the ice point ($0^\circ\text{C}$) and $84\,\text{kPa}$ at the steam point ($100^\circ\text{C}$). What is the temperature in degrees Celsius when the pressure registered by the thermometer is $72\,\text{kPa}$?

A thermistor has an electrical resistance of $800\,\Omega$ at the melting point of ice ($0^\circ\text{C}$) and $200\,\Omega$ at the boiling point of water ($100^\circ\text{C}$). Assuming the thermometric property varies linearly with temperature, what is the temperature in degrees Celsius ($^\circ\text{C}$) when the resistance of the thermistor is $500\,\Omega$?