1. Calculate the free energy change if 6× 10raise to-3 of methane is allowed to expand isothermally for 2.9 kilo Pascal's to 1.35 kilo Pascal's at 27°C.
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Relating Pressure, Volume, Amount, and Temperature: The Ideal Gas Law
LEARNING OBJECTIVES
By the end of this section, you will be able to:
Identify the mathematical relationships between the various properties of gases
Use the ideal gas law, and related gas laws, to compute the values of various gas properties under specified conditions
During the seventeenth and especially eighteenth centuries, driven both by a desire to understand nature and a quest to make balloons in which they could fly (Figure 1), a number of scientists established the relationships between the macroscopic physical properties of gases, that is, pressure, volume, temperature, and amount of gas. Although their measurements were not precise by today’s standards, they were able to determine the mathematical relationships between pairs of these variables (e.g., pressure and
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- The ideal gas equation, PV = nRT, can be used to calculate moles using P-V-T data.
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