Question

The boiling point of sulfur is 444.6°C. Sulfur's melting point is 586.1°F
lower than its boiling point.
d
a. Determine the melting point of sulfur in degrees Celsius.
b. Find the melting and boiling points in degrees Fahrenheit.
c. Find the melting and boiling points in kelvins.

Answer 1

To address the questions posed, we first need to convert the temperatures and understand the relationships between Celsius, Fahrenheit, and Kelvin.

### a. Determine the melting point of sulfur in degrees Celsius.

We know that:
- The boiling point of sulfur is 444.6°C.
- The melting point is 586.1°F lower than the boiling point.

First, we need to convert the melting point from degrees Fahrenheit to degrees Celsius using the formula:

\[
C = \frac{5}{9}(F - 32)
\]

To convert 586.1°F to Celsius, we can calculate it directly:

1. Calculate the boiling point in Fahrenheit:
\[
F = C \times \frac{9}{5} + 32
\]
\[
F_{\text{boiling}} = 444.6 \times \frac{9}{5} + 32 = 832.28°F
\]

2. Find the melting point in Fahrenheit:
\[
F_{\text{melting}} = F_{\text{boiling}} - 586.1 = 832.28 - 586.1 = 246.18°F
\]

3. Now, convert 246.18°F to Celsius:
\[
C_{\text{melting}} = \frac{5}{9}(246.18 - 32) = \frac{5}{9}(214.18) \approx 119.0°C
\]

### b. Find the melting and boiling points in degrees Fahrenheit.

From our previous calculations:
- Boiling point: \( 832.28°F \)
- Melting point: \( 246.18°F \)

### c. Find the melting and boiling points in kelvins.

To convert from degrees Celsius to Kelvin, we use the formula:
\[
K = C + 273.15
\]

1. Boiling point in Kelvin:
\[
K_{\text{boiling}} = 444.6 + 273.15 \approx 717.75\, K
\]

2. Melting point in Kelvin:
\[
K_{\text{melting}} = 119.0 + 273.15 \approx 392.15\, K
\]

### Summary of Results

a. Melting point of sulfur in Celsius: **119.0°C**

b. Melting point: **246.18°F**, Boiling point: **832.28°F**

c. Melting point: **392.15 K**, Boiling point: **717.75 K**