Gas Laws Assignment
SCH3U
Gases & Atmospheric Chemistry
Name:
Due Date:
Boyle’s Law
Practice Questions
1. A sample of chlorine gas occupies a volume of 946 mL at a pressure of 726 mmHg. What is the pressure of the gas (in
mmHg) if the volume is reduced at constant temperature to 154 mL?
2. What is the new pressure when 80.0mL of gas at 500.mmHg is moved to a 100.mL container?
3. A gas at 800.torr of pressure has a volume of 5.00L.What volume does this gas occupy at 1.00x103 torr of pressure?
Charles Law
Practice Questions
1. Give the temperature-volume law both in words and in the form of an equation.
2. To make 300 mL of oxygen at 20.0oC change its volume to 250 mL, what must be done to the sample if its pressure and
mass are to be held constant?
3. From the data in the following questions calculate the missing quantity.
a) V1 = 22.4 L; T1 = 0oC; T2 = 91oC; V2 = ? L
b) V1 = 125 mL; T1 = ? ; T2 = 25oC; V2 = 100 mL
c) V1 = ? L; T1 = 400 K; T2 = 175 K; V2 = 6.20 L
d) V1 = 250 mL; T1 = 298 K; T2 = ? K; V2 = 273 mL
4. A partially filled plastic balloon contains 3.4 X 103 m3 of helium gas at 5oC. The noon day sun heats this gas to 37oC. What is
the volume of the balloon if atmospheric pressure remains constant?
Gay-Lusaac’s Law
Practice Questions
1. The gas in an aerosol can is at 3atm of pressure at 298K. What would the gas pressure in the can be at 325K?
2. At 120.0 oC the pressure of a sample of nitrogen gas is 769torr. What will the pressure be at 205oC?
1. A helium filled balloon has a volume of 50.0mL at 298K and 1.08atm. What volume will it have at 0.855atm and
203K?
SCH3UR.H. KING ACADEMY
Gases and Atmospheric Chemistry
Name:
The Combined Gas Law:
Combined Gas Law
𝐏𝟏 𝐕𝟏 𝐏𝟐 𝐕𝟐
= 𝐓𝟏
𝐓𝟐
Practice 2.
Questions
Given 700.mL of oxygen at 7.00 °C and 7.90atm of pressure, what volume does is occupy at 27.0°C and 4.90atm of
1. A helium
filled balloon has a volume of 50.0mL at 298K and 1.08atm. What volume will it have at 0.855atm and 203K?
Samplepressure?
Problems:
2. Given 700.mL of oxygen at 7.00 °C and 7.90atm of pressure, what volume does is occupy at 27.0°C and 4.90atm of
1. A helium filled balloon has a volume of 50.0mL at 298K and 1.08atm. What volume will it have at 0.855atm and
pressure?
203K?
The Ideal
i
Gas Law
Ideal Gas Law
PV=nRT
Given gas
of oxygen
7.00 °C and
7.90atm In
of reality,
pressure,
what
does
is occupy
at 27.0°C perfectly.
and 4.90atm
Practice
An2.
“Questions
deal”
x700.mL
ehi bits
certain at
theoretical
properties.
there
arevolume
no gases
that
fit this definition
Weof
pressure?
1.
How many
molesare
of Hideal
2 is in to
a 3.1
L sample
H2 measured at 300 kPa and 20 °C?
assume
that gases
simplify
ourofcalculations.
2. How many grams of O2 are in a 315 mL container that has a pressure of 12 atm at 25 °C?
3. Argon is an inert gas used in lightbulbs to retard the vaporization of the filament. A certain lightbulb containing argon at 1.20
Sample
Problems:
atm and
18 0C is heated to 85 0C at constant volume. What is the final pressure of argon in the lightbulb (in atm)?
1. How many moles of H2 is in a 3.1 L sample of H2 measured at 300 kPa and 20 °C?
The Ideal
i
Gas Law
Avogadro’s Law
Pressures
P Vand
= n Partial
RT
An “ deal” gas
x ehi bits certain theoretical properties. In reality, there are no gases that fit this definition perfectly. We
assume that gases are ideal to simplify our calculations.
2. How many grams of O2 are in a 315 mL container that has a pressure of 12 atm at 25 °C?
Sample Problems:
. How many moles of H2 is in a 3.1 L sample of H2 measured at 300 kPa and 20 °C?
Practice1Questions
1. A mixture of gases contains 0.51 mol N2, 0.28 mol H2, and 0.52 mol NH3. If the total pressure of the mixture is 2.35 atm, what
is the partial pressure of H2?
2. A mixture of gases has the following partial pressure for the component gases at 20.00C in a volume of 2.00L: oxygen
180.torr, nitrogen 320.torr, and hydrogen 246torr. Calculate the pressure of the mixture.
3. 3.
What
is theisfinal
pressure
a 1.50L
mixture of to
gases
produced
from 1.50L ofofneon
0.3947atm,
800.mL of
nitrogencontaining
at
Argon
an inert
gas of
used
in lightbulbs
retard
the vaporization
the atfilament.
A certain
lightbulb
0at 25.3kPa? Assume0 constant temperature. (Hint use Boyle’s law.)
150.mmHg
and
1.2oL
of
oxygen
argon at 1.20 atm and 18 C is heated to 85 C at constant volume. What is the final pressure of argon in the
2. How many grams of O2 are in a 315 mL container that has a pressure of 12 atm at 25 °C?
lightbulb (in atm)?
Stoichiometry & Gases
Practice Questions
1. CH4 burns in O2, producing CO2 and H2O(g). A 1.22 L CH4 cylinder, at 15°C, registers a pressure of 328 kPa.
a. What volume of O2 at SATP will be required to react completely with all of the CH4?
3. Argon
is anmany
inertgrams
gas used
to retard the vaporization of the filament. A certain lightbulb containing
b. How
of H2in
O(g)lightbulbs
are produced?
0
argon at 1.20 atm and 18 C is heated to 85 0C at constant volume. What is the final pressure of argon in the
H6
2. Ammonia
(NH(in
3) gas
can be synthesized from nitrogen gas + hydrogen gas. What volume of ammonia at 450 kPa and 80°C
lightbulb
atm)?
can be obtained from the complete reaction of 7.5 kg hydrogen?
3. Hydrogen gas (and NaOH) is produced when sodium metal is added to water. What mass of Na is needed to produce 20.0 L
of H2 at STP?
H6
Gases & Atmospheric Chemistry Assignment
1. How many moles of gas occupy 98 L at a pressure of 2.8 atmospheres and a temperature of 292 K? [3]
2. If 5.0 moles of O2 and 3.0 moles of N2 are placed in a 30.0 L tank at a temperature of 250 C, what will the pressure of the
resulting mixture of gases be? [3]
3. A balloon is filled with 35.0 L of helium in the morning when the temperature is 20.000C. By noon the temperature has risen to
45.00 C. What is the new volume of the balloon? [3]
4. A 35 L tank of oxygen is at 315 K with an internal pressure of 190 atmospheres. How many moles of gas does the tank
contain? [3]
5. An airtight container with a volume of 4.25 x 104 L, an internal pressure of 1.00 atm, and an internal temperature of 15.000 C is
washed off the deck of a ship and sinks to a depth where the pressure is 175 atm and the temperature is 3.0000 C. What will
the volume of the gas inside be when the container breaks under the pressure at this depth? [3]
6. Two flasks are connected with a stopcock. Flask #1 has a volume of 2.5 L and contains oxygen gas at a pressure of 0.70 atm.
Flask #2 has a volume of 3.8 L and contains hydrogen gas at a pressure of 1.25 atm. When the stopcock between the two
flasks is opened and the gases are allowed to mix, what will the resulting pressure of the gas mixture be? [3]
7. Nitroglycerin explodes according to:
4 C3H5(NO3)3(l)  12 CO2(g) + 6 N2(g) + 10 H2O(g) + O2(g)
a. Calculate the volume, at STP, of each product formed by the reaction of 100 g of C3H5(NO3)3.
b. 200 g of C3H5(NO3)3 is ignited (and completely decomposes) in an otherwise empty 50 L gas cylinder. What will the
pressure in the cylinder be if the temperature stabilizes at 220°C?