Question

7.

	°c	°f	k
room temperature	25	77	298.15
ice water	0	32	273.15
boiling water	100	212	373.15

1. how well do your thermometer readings agree with the accepted values for the freezing point and boiling point of water? express any discrepancy as a deviation in degrees. (5 pts.)

Explanation:

Step 1: Recall Accepted Values

The accepted freezing point of water is \( 0^\circ \text{C} \) (or \( 32^\circ \text{F} \), \( 273.15 \text{ K} \)) and the accepted boiling point of water is \( 100^\circ \text{C} \) (or \( 212^\circ \text{F} \), \( 373.15 \text{ K} \)).

Step 2: Analyze Freezing Point (Ice Water)

• For \( ^\circ \text{C} \): Measured is \( 0^\circ \text{C} \), accepted is \( 0^\circ \text{C} \). Deviation \( = |0 - 0| = 0^\circ \text{C} \).
• For \( ^\circ \text{F} \): Measured is \( 32^\circ \text{F} \), accepted is \( 32^\circ \text{F} \). Deviation \( = |32 - 32| = 0^\circ \text{F} \).
• For \( \text{K} \): Measured is \( 273.15 \text{ K} \), accepted is \( 273.15 \text{ K} \). Deviation \( = |273.15 - 273.15| = 0 \text{ K} \).

Step 3: Analyze Boiling Point (Boiling Water)

• For \( ^\circ \text{C} \): Measured is \( 100^\circ \text{C} \) (wait, the table has "10 0" which is likely a typo for 100), accepted is \( 100^\circ \text{C} \). Deviation \( = |100 - 100| = 0^\circ \text{C} \).
• For \( ^\circ \text{F} \): Measured is \( 212^\circ \text{F} \), accepted is \( 212^\circ \text{F} \). Deviation \( = |212 - 212| = 0^\circ \text{F} \).
• For \( \text{K} \): Measured is \( 373.15 \text{ K} \), accepted is \( 373.15 \text{ K} \). Deviation \( = |373.15 - 373.15| = 0 \text{ K} \).

Step 4: Analyze Room Temperature (Optional, but for completeness)

Room temperature is typically around \( 25^\circ \text{C} \) (accepted), so measured \( 25^\circ \text{C} \) matches. \( 77^\circ \text{F} \) (since \( F = \frac{9}{5}C + 32 = \frac{9}{5}(25) + 32 = 77 \)), so deviation \( 0^\circ \text{F} \). \( 298.15 \text{ K} \) (since \( K = C + 273.15 = 25 + 273.15 = 298.15 \)), deviation \( 0 \text{ K} \).

Answer:

For the freezing point (ice water), the thermometer readings match the accepted values (deviation \( 0^\circ \text{C} \), \( 0^\circ \text{F} \), \( 0 \text{ K} \)). For the boiling point (boiling water), the thermometer readings also match the accepted values (deviation \( 0^\circ \text{C} \), \( 0^\circ \text{F} \), \( 0 \text{ K} \)). Room temperature readings also match the typical accepted value with no deviation.