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What is the temperature of 0.52 mol of gas at a pressure of 1.3 atm and a volume of 11.8 L?
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Ch.5 - Gases
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831
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TOC.tableOfContents
- Ch.1 - Matter, Measurement & Problem Solving136
- Ch.2 - Atoms & Elements112
- Ch.3 - Molecules, Compounds & Chemical Equations159
- Ch.4 - Chemical Quantities & Aqueous Reactions140
- Ch.5 - Gases118
- Ch.6 - Thermochemistry106
- Ch.7 - Quantum-Mechanical Model of the Atom62
- Ch.8 - Periodic Properties of the Elements103
- Ch.9 - Chemical Bonding I: The Lewis Model104
- Ch.10 - Chemical Bonding II: Molecular Shapes & Valence Bond Theory89
- Ch.11 - Liquids, Solids & Intermolecular Forces73
- Ch.12 - Solids and Modern Material59
- Ch.13 - Solutions110
- Ch.14 - Chemical Kinetics140
- Ch.15 - Chemical Equilibrium78
- Ch.16 - Acids and Bases155
- Ch.17 - Aqueous Ionic Equilibrium176
- Ch.18 - Free Energy and Thermodynamics108
- Ch.19 - Electrochemistry118
- Ch.20 - Radioactivity and Nuclear Chemistry82
- Ch.21 - Organic Chemistry150
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Capitolo 5, Problema 39
What is the pressure in a 10.0 L cylinder filled with 0.448 mol of nitrogen gas at a temperature of 315 K?
Guida verificata passo dopo passo1
Identify the ideal gas law equation: \( PV = nRT \).
Rearrange the equation to solve for pressure \( P \): \( P = \frac{nRT}{V} \).
Identify the values given in the problem: \( n = 0.448 \text{ mol} \), \( V = 10.0 \text{ L} \), \( T = 315 \text{ K} \).
Use the ideal gas constant \( R = 0.0821 \text{ L atm mol}^{-1} \text{ K}^{-1} \).
Substitute the values into the equation: \( P = \frac{(0.448 \text{ mol})(0.0821 \text{ L atm mol}^{-1} \text{ K}^{-1})(315 \text{ K})}{10.0 \text{ L}} \).
Concetti chiave
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Ideal Gas Law
The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and number of moles of a 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 in Kelvin. This law allows us to calculate one of the variables if the others are known.
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01:15
Ideal Gas Law Formula
Units of Measurement
Understanding the units of measurement is crucial when applying the Ideal Gas Law. Pressure is typically measured in atmospheres (atm) or pascals (Pa), volume in liters (L), temperature in Kelvin (K), and the amount of substance in moles (mol). Ensuring that all units are consistent is essential for accurate calculations.
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Percorso guidato
02:52Units of Radiation Measurement
Gas Constant (R)
The gas constant (R) is a proportionality constant in the Ideal Gas Law that relates the energy scale to the temperature scale. Its value depends on the units used; for example, R = 0.0821 L·atm/(K·mol) when pressure is in atmospheres and volume in liters. Knowing the correct value of R is necessary for solving gas law problems accurately.
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01:56Gas Constant Values
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