The vapor pressure of I2(s) at 30°C is 0.466 mm Hg.
(a) How many milligrams of iodine will sublime into an evacuated 750.0-mL flask?
(b) If 3.00 mg of I2 are used, what will the final pressure in the flask be?
(c) If 7.85 mg of I2 are used, what will the final pressure in the flask be?
(a)
Interpretation:
The mass of iodine (in mg) sublimed under the given conditions is to be calculated.
Concept Introduction :
The ideal gas equation is the expression that relates different measurable properties of a gas. The expression is given as
where,
P = Pressure of the gas
V = Volume of the container in which the gas is occupied
R = Ideal gas constant = 0.0821 L atm/ mol K
n = number of moles of the gas = Mass of gas / Molecular mass of gas
T = Absolute temperature of the gas i.e., temperature on Kelvin scale
Answer to Problem 3QAP
The mass of iodine sublimed under the given conditions = 2.41 mg.
Explanation of Solution
Given:
P = 0.466 mm Hg = (0.466/760) atm
V = 750 mL = 750×10-3 L
T = 30 0C = (30+273) K = 303 K
When iodine sublimes, it forms vapors which are in equilibrium with the solid form. The pressure of the vapors in this state is vapor pressure. Thus, for gaseous camphor formed.
The number of moles of iodine present as vapors can be calculated by using the ideal gas equation as
The mass of iodine sublimed can thus be calculated as
Therefore, 4.69 mg of iodine has sublimed under the given conditions.
(b)
Interpretation:
The pressure in the flask if 3 mg of iodine is taken needs be calculated.
Concept Introduction :
The ideal gas equation is the expression that relates different measurable properties of a
gas. The expression is given as:
where,
P = Pressure of the gas
V = Volume of the container in which the gas is occupied
R = Ideal gas constant = 0.0821 L atm/ mol K
n = number of moles of the gas (
T = Absolute temperature of the gas i.e., temperature on Kelvin scale
Answer to Problem 3QAP
The pressure in the flask is 0.29 mm Hg.
Explanation of Solution
Given:
V = 750 mL = 750×10-3 L
Mass = m = 3 mg = 3×10-3 g
T = 30 0C = (30+273) = 303 K
The pressure in the flask can be calculated using the ideal gas equation.
Thus, the pressure in the flask is 0.29 mm Hg.
(c)
Interpretation:
The pressure in the flask if 7.85 mg of iodine is taken needs to be calculated.
Concept Introduction :
The ideal gas equation is the expression that relates different measurable properties of a
gas. The expression is given as
where,
P = Pressure of the gas
V = Volume of the container in which the gas is occupied
R = Ideal gas constant = 0.0821 L atm/ mol K
n = number of moles of the gas (
T = Absolute temperature of the gas i.e., temperature on Kelvin scale
Answer to Problem 3QAP
The pressure in the flask is 0.77 mm Hg.
Explanation of Solution
Given:
V = 750 mL = 750×10-3 L
Mass = m = 7.85 mg = 7.85×10-3 g
T = 30 0C = (30+273) = 303 K
The pressure in the flask can be calculated using the ideal gas equation.
Thus, the pressure in the flask is 0.77 mm Hg.
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