Chapter 17, Problem 35P

(a)

To determine

The graph of length versus temperature for mercury.

Given:

The length of column of mercury in the thermometer is $4\text{cm}$ .

The pressure of water is $1\text{atm}$

The length of column of mercury in the thermometer is $4\text{cm}$ .

The thermometer in the boiling water is $24\text{cm}$ .

Introduction:

Explanation:

The graph of length of the mercury column versus temperature is:

  

The equation for the graph is:

  $L=mT+C$

Here, $L$ is the length in $\text{cm}$ , $T$ is the temperature in Celsius and $C$ is the intercept.

Substitute $0.200\text{cm}/\text{°C}$ for $m$ and $4.0\text{cm}$ for $C$ in equation (1).

  $L=\left(0.200\text{cm}/\text{°C}\right)T+4.0\text{cm}$

Conclusion:

(b)

To determine

The length of the column when the temperature is $22.0\text{°C}$ .

(b)

To determine

The temperature when the length of the mercury column is $25.4\text{cm}$ .