The ideal gas law is given by:PV = nRT. This equation is only accurate for a limited range of pressure and temperature. Van der Waals came up with an equation that was accurate for large ranges of pressure and temperature given by: (P + )(V – b) = RT Where a and b are empirical constants dependent on a particular gas. Given the values of R=0.08, a = 3.592, b = 0.04267, p = 10 and T=320 (assume all units to be consistent), one is going to find the specific volume, v, for the given values. Using a 4 step iteration, what would be the value of its %3D %3D volume?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The ideal gas law is given by:PV = nRT.
This equation is only accurate for a limited range of pressure and
temperature. Van der Waals came up with an equation that was accurate for
large ranges of pressure and temperature given by:
(P +)(V – b) = RT
Where a and b are empirical constants dependent on a particular gas. Given
the values of R=0.08, a = 3.592, b = 0.04267, p = 10 and T=320 (assume all
units to be consistent), one is going to find the specific volume, v, for the
given values. Using a 4 step iteration, what would be the value of its
%3D
volume?
Transcribed Image Text:The ideal gas law is given by:PV = nRT. This equation is only accurate for a limited range of pressure and temperature. Van der Waals came up with an equation that was accurate for large ranges of pressure and temperature given by: (P +)(V – b) = RT Where a and b are empirical constants dependent on a particular gas. Given the values of R=0.08, a = 3.592, b = 0.04267, p = 10 and T=320 (assume all units to be consistent), one is going to find the specific volume, v, for the given values. Using a 4 step iteration, what would be the value of its %3D volume?
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