Textbook Question
Complete the following table for an ideal gas:P V n T101.33 kPa ? L 3.333 mol 300 K
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Ch.10 - Gases
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement140
- Ch.2 - Atoms, Molecules, and Ions192
- Ch.3 - Chemical Reactions and Reaction Stoichiometry172
- Ch.4 - Reactions in Aqueous Solution156
- Ch.5 - Thermochemistry151
- Ch.6 - Electronic Structure of Atoms137
- Ch.7 - Periodic Properties of the Elements127
- Ch.8 - Basic Concepts of Chemical Bonding143
- Ch.9 - Molecular Geometry and Bonding Theories167
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces97
- Ch.12 - Solids and Modern Materials129
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics175
- Ch.15 - Chemical Equilibrium107
- Ch.16 - Acid-Base Equilibria127
- Ch.17 - Additional Aspects of Aqueous Equilibria133
- Ch.18 - Chemistry of the Environment88
- Ch.19 - Chemical Thermodynamics140
- Ch.20 - Electrochemistry137
- Ch.21 - Nuclear Chemistry99
- Ch.22 - Chemistry of the Nonmetals66
- Ch.23 - Transition Metals and Coordination Chemistry69
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry11
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook
Chapter 10, Problem 29b
(b) What is the molar volume of an ideal gas at STP?
Verified step by step guidance1
Recall the definition of Standard Temperature and Pressure (STP), which is a temperature of 273.15 K (0°C) and a pressure of 1 atm.
Understand that the molar volume is the volume occupied by one mole of any gas at STP.
Use the Ideal Gas Law equation, which is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.
Substitute the values for STP into the Ideal Gas Law equation: P = 1 atm, n = 1 mole, R = 0.0821 L atm / K mol (the value of the gas constant in these units), and T = 273.15 K.
Solve for V, the volume, to find the molar volume of an ideal gas at STP.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Molar Volume
Molar volume is the volume occupied by one mole of a substance at a given temperature and pressure. For gases, it is typically expressed in liters per mole (L/mol). Understanding molar volume is crucial for relating the amount of gas to its physical space, especially in stoichiometric calculations.
Ideal Gas Law
The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and number of moles of an ideal gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. This law helps predict the behavior of gases under various conditions.
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Standard Temperature and Pressure (STP)
Standard Temperature and Pressure (STP) is a reference point used in chemistry defined as 0 degrees Celsius (273.15 K) and 1 atmosphere (atm) of pressure. At STP, the molar volume of an ideal gas is approximately 22.4 liters. This standardization allows for consistent calculations and comparisons in gas behavior.
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Related Practice
Textbook Question
Suppose you are given two flasks at the same temperature,one of volume 2 L and the other of volume 3 L. The 2-L flaskcontains 4.8 g of gas, and the gas pressure is x kPa. The 3-Lflask contains 0.36 g of gas, and the gas pressure is 0.1x. Dothe two gases have the same molar mass? If not, which containsthe gas of higher molar mass?
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Textbook Question
(c) Room temperature is often assumed to be 25 °C. Calculate the molar volume of an ideal gas at 25 °C and 101.3 kPa pressure.
Textbook Question
(b) If a car tire is filled to a pressure of 220.6 kPa measured at 24 °C, what will be the tire pressure if the tires heat up to 49 °C during driving?
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Textbook Question
(a) Amonton's law expresses the relationship between pressure and temperature. Use Charles's law and Boyle's law to derive the proportionality relationship between P and T.
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