To calculate the Boiling Point (\(bp\)):
\[ bp = 49.161 \times \ln(p) + 44.932 \]
Where:
The boiling point measures the total temperature required for a liquid to begin boiling. For water, the boiling point varies depending on the atmospheric pressure. At standard atmospheric pressure (760 mmHg), water boils at 212 °F (100 °C). Changes in pressure can raise or lower this boiling point.
Let's assume the following value:
Using the formula:
\[ bp = 49.161 \times \ln(760) + 44.932 \]
Calculating step-by-step:
\[ \ln(760) \approx 6.633 \] \[ 49.161 \times 6.633 \approx 325.78 \] \[ bp = 325.78 + 44.932 \approx 371.03 \text{ °F} \]
The Boiling Point is approximately 371.03 °F.
Let's assume the following value:
Using the formula:
\[ bp = 49.161 \times \ln(500) + 44.932 \]
Calculating step-by-step:
\[ \ln(500) \approx 6.215 \] \[ 49.161 \times 6.215 \approx 305.48 \] \[ bp = 305.48 + 44.932 \approx 350.45 \text{ °F} \]
The Boiling Point is approximately 350.45 °F.