To solve the problem, let's perform the necessary calculations step by step:
a. Determine the melting point of sulfur in degrees Celsius.
Given that the boiling point of sulfur is 444.6°C and the melting point is 586.1°F lower than the boiling point:
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Convert the 586.1°F to Celsius. \[ C = \frac{(F - 32) \times 5}{9} \] \[ C = \frac{(586.1 - 32) \times 5}{9} = \frac{554.1 \times 5}{9} \approx 308.94°C \]
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The melting point of sulfur in degrees Celsius is: \[ \text{Melting Point}{C} = \text{Boiling Point}{C} - \text{Value in Celsius} \] \[ \text{Melting Point}_{C} = 444.6°C - 308.94°C \approx 135.66°C \]
b. Find the melting and boiling points in degrees Fahrenheit.
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We already have the boiling point:
- Boiling point: 444.6°C
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We convert the melting point from degrees Celsius to degrees Fahrenheit: \[ F = \left( C \times \frac{9}{5} \right) + 32 \] \[ F = \left( 135.66 \times \frac{9}{5} \right) + 32 \approx 276.21°F \]
So:
- Melting point: 276.21°F
- Boiling point: 444.6°C = \( \left( 444.6 \times \frac{9}{5} \right) + 32 \approx 832.28°F \)
c. Find the melting and boiling points in kelvins.
To convert Celsius to Kelvin: \[ K = C + 273.15 \]
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Boiling Point in Kelvin: \[ K_{boiling} = 444.6 + 273.15 \approx 717.75 K \]
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Melting Point in Kelvin: \[ K_{melting} = 135.66 + 273.15 \approx 408.81 K \]
Summary of Results
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Melting Point:
- Celsius: 135.66°C
- Fahrenheit: 276.21°F
- Kelvin: 408.81 K
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Boiling Point:
- Celsius: 444.6°C
- Fahrenheit: 832.28°F
- Kelvin: 717.75 K
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