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:
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Calculate the boiling point in Fahrenheit: \[ F = C \times \frac{9}{5} + 32 \] \[ F_{\text{boiling}} = 444.6 \times \frac{9}{5} + 32 = 832.28°F \]
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Find the melting point in Fahrenheit: \[ F_{\text{melting}} = F_{\text{boiling}} - 586.1 = 832.28 - 586.1 = 246.18°F \]
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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: \[ K = C + 273.15 \]
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Boiling point in Kelvin: \[ K_{\text{boiling}} = 444.6 + 273.15 \approx 717.75, K \]
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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
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