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Chapter 11: Problem 5

Using this graph of \(\mathrm{CS}_{2}\) data, determine (a) the approximate vapor pressure of \(\mathrm{CS}_{2}\) at \(30^{\circ} \mathrm{C}\), (b) the temperature at which the vapor pressure equals 300 torr, (c) the normal boiling point of \(\mathrm{CS}_{2}\). [Section 11.5]

Short Answer

Expert verified
(a) The approximate vapor pressure of \(\mathrm{CS}_{2}\) at \(30^{\circ} \mathrm{C}\) can be read from the graph. (b) The temperature at which the vapor pressure equals \(45 \mathrm{kPa}\) can be found by locating the point on the graph where the vapor pressure is \(45 \mathrm{kPa}\) and reading the corresponding temperature on the x-axis. (c) The normal boiling point of \(\mathrm{CS}_{2}\) is the temperature at which the vapor pressure equals the atmospheric pressure (\(101.3 \mathrm{kPa}\)). This can be found by locating the point on the graph where the vapor pressure is equal to \(101.3 \mathrm{kPa}\) and reading the corresponding temperature on the x-axis.

Step by step solution

01

Determine the approximate vapor pressure at \(30^{\circ} \mathrm{C}\).

To find the vapor pressure at \(30^{\circ} \mathrm{C}\), locate the point on the graph where the temperature is \(30^{\circ} \mathrm{C}\). Read the value of the vapor pressure corresponding to this temperature on the y-axis.
02

Determine the temperature at which the vapor pressure is equal to \(45 \mathrm{kPa}\).

To find the temperature where the vapor pressure is equal to \(45 \mathrm{kPa}\), locate the point on the graph where the vapor pressure is \(45 \mathrm{kPa}\). Read the value of the temperature corresponding to this vapor pressure on the x-axis.
03

Determine the normal boiling point of \(\mathrm{CS}_{2}\).

The normal boiling point is the temperature at which the vapor pressure of a substance equals the atmospheric pressure. For this problem, we will assume the normal atmospheric pressure to be \(101.3 \mathrm{kPa}\). Locate the point on the graph where the vapor pressure is equal to \(101.3 \mathrm{kPa}\) and read the corresponding temperature on the x-axis. This temperature is the normal boiling point of \(\mathrm{CS}_{2}\).

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