The boiling points of diethyl ether, benzene, and dimethyl ether are 34.6 ∘ C, 80.1 ∘ C, and -24 ∘ C respectively. Which one of the following correctly represents their boiling points in the Kelvin scale respectively?
307.6 K, 353.1 K, 249.15 K
Boiling Points Conversion: Celsius to Kelvin Scale
To convert a temperature from the Celsius scale (∘C) to the Kelvin scale (K), we use the following formula:
\[ K = ∘C + 273.15 \]
Sometimes, for simplicity, the value 273 is used instead of 273.15, especially in introductory contexts. Let's calculate the boiling points for each substance provided in the question.
Converting Diethyl Ether Boiling Point to Kelvin
The boiling point of diethyl ether is given as 34.6 ∘C. Using the conversion formula:
\[ K = 34.6 + 273.15 = 307.75 \, K \]
If we use 273 for the conversion:
\[ K = 34.6 + 273 = 307.6 \, K \]
Converting Benzene Boiling Point to Kelvin
The boiling point of benzene is given as 80.1 ∘C. Using the conversion formula:
\[ K = 80.1 + 273.15 = 353.25 \, K \]
If we use 273 for the conversion:
\[ K = 80.1 + 273 = 353.1 \, K \]
Converting Dimethyl Ether Boiling Point to Kelvin
The boiling point of dimethyl ether is given as -24 ∘C. Using the conversion formula:
\[ K = -24 + 273.15 = 249.15 \, K \]
If we use 273 for the conversion:
\[ K = -24 + 273 = 249 \, K \]
Comparing Calculated Kelvin Boiling Points
Let's summarize the boiling points in Celsius and their conversion to Kelvin using both methods (using 273.15 and 273), and compare with the values provided in the options:
| Substance | Boiling Point (∘C) | Calculated Boiling Point (K) using 273.15 | Calculated Boiling Point (K) using 273 |
|---|---|---|---|
| Diethyl ether | 34.6 | 307.75 | 307.6 |
| Benzene | 80.1 | 353.25 | 353.1 |
| Dimethyl ether | -24 | 249.15 | 249 |
The question asks for the boiling points in the Kelvin scale respectively. The values provided in one of the options are 307.6 K, 353.1 K, and 249.15 K. This set of values corresponds to using 273 for the first two conversions and 273.15 for the third conversion. While the standard conversion uses 273.15, the values provided in the correct option match the results obtained this way.
Therefore, the boiling points in Kelvin, as represented by one of the options, are 307.6 K, 353.1 K, and 249.15 K for diethyl ether, benzene, and dimethyl ether respectively.
Important Questions from Units, Dimensions and Measurements
- Arrange the following bands of electromagnetic spectrum in ascending order of their wave length
A. X - rays
B. Near Infrared rays
C. Microwaves
D. Visible Rays
E. Radio waves
Choose the correct answer from the options given below: The light year is a measure of _____, not ______.
The SI unit of mechanical power is:
Which of the following is the SI unit of temperature?
A student measure certain lengths using a meter scale having least count equal to 1 mm. Which of the following measurements are more precise?
