7 Questions around this concept.
For constant pressure gas thermometer, which of the following expression is correct?
Thermometry: It is a branch of science that deals with the measurement of the temperature of a substance is known as thermometry.
An instrument used to measure the temperature of a body is called a Thermometer. The principle on which it works is by absorbing heat from the body.
There are various kinds of thermometers which are briefly classified into three types -
- Liquid thermometers - In liquid thermometers, mercury is usually preferred over other liquids. The reason behind this is its expansion is large and uniform. The main reason behind all these is that it has high thermal conductivity and low specific heat.
Range of temperature: (freezing point of mercury) - (boiling point of mercury) which is $-50^{\circ} \mathrm{C}$ to $350^{\circ} \mathrm{C}$
The formula for calculation of temperature at any length I:
$$
t=\frac{l-l_0}{l_{100}-l_0} \times 100^0 \mathrm{C}
$$
Here $-l=$ length of the mercury column at the given temperature $t$.
$l_{0=}$ length of the mercury column at the $0^{\circ} \mathrm{C}$ temperature
$l_{100}=$ length of the mercury column at the $100^{\circ} \mathrm{C}$ temperature
(i) Constant pressure gas thermometers - If pressure is constant, then for an ideal gas, volume is directly proportional to temperature. So,
$$
V \alpha T
$$
The formula for the calculation of temperature at any volume V: $t=\frac{V-V_0}{V_{100}-V_0} \times 100^0 \mathrm{C}$
Here, $V=$ length of the mercury column at the given temperature $t$. $V_0=$ length of the mercury column at the $0^{\circ} \mathrm{C}$ temperature. $V_{100}=$ length of the mercury column at the $100^{\circ} \mathrm{C}$ temperature.
(i) Constant volume gas thermometers - If the volume is constant, then for ideal gas, pressure is directly proportional to temperature. So,
$P \alpha T$
The formula for calculation of temperature at any pressure $\mathrm{P}: \quad t=\frac{P-P_0}{P_{100}-P_0} \times 100^0 \mathrm{C}$
Here, $P=$ length of the mercury column at the given temperature $t$.
$P_{100}=$ length of the mercury column at the $100^{\circ} \mathrm{C}$ temperature.
The formula for calculation of temperature at any resistance R : $t=\frac{R-R_0}{R_{100}-R_0} \times 100^0 \mathrm{C}$
Here, $R=$ length of the mercury column at the given temperature $t$.
$R_{0=}$ length of the mercury column at the $0^{\circ} \mathrm{C}$ temperature.
$R_{100}=$ length of the mercury column at the $100^{\circ} \mathrm{C}$ temperature.
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