An autoclave (pressure/vacuum vessel) contains pure N2 molecules with a collision diameter of 370 picometer (pm) (take collision cross section: 0.43 nm?) at 1 bar pressure and 25 °C. Calculate (a) the mean speed of the molecules (m/s), (b) the mean free path (m) and (c) the collision frequency (s). Recalculate (a, b and c) when the pressure is 1.1x10- bar. N2: 28.02 g/mol, Boltzman constant: 1.3806 x 10-23JK1

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Problem 1.
An autoclave (pressure/vacuum vessel) contains pure N2 molecules with a collision diameter
of 370 picometer (pm) (take collision cross section: 0.43 nm-) at 1 bar pressure and 25 °C.
n²)
Calculate (a) the mean speed of the molecules (m/s), (b) the mean free path (m) and (c) the
collision frequency (s). Recalculate (a, b and c) when the pressure is 1.1x10 bar. N2: 28.02
g/mol, Boltzman constant: 1.3806 x 10 23/K!
Problem 2.
Temperatures of a Carnot engine condenser and boiler are 25 °C and 227 °C. The work (W,)
produced from the turbine is 5250 J. i) Calculate the heat transferred (qh) from the boiler and
the cycle efficiency (%). ii) If the efficiency of the cycle ig 42 % and the temperature of the
condenser is -12.15 °C, calculate the temperature of the boiler. Interpret the results obtained
from (i) and (11) parts.
Transcribed Image Text:Problem 1. An autoclave (pressure/vacuum vessel) contains pure N2 molecules with a collision diameter of 370 picometer (pm) (take collision cross section: 0.43 nm-) at 1 bar pressure and 25 °C. n²) Calculate (a) the mean speed of the molecules (m/s), (b) the mean free path (m) and (c) the collision frequency (s). Recalculate (a, b and c) when the pressure is 1.1x10 bar. N2: 28.02 g/mol, Boltzman constant: 1.3806 x 10 23/K! Problem 2. Temperatures of a Carnot engine condenser and boiler are 25 °C and 227 °C. The work (W,) produced from the turbine is 5250 J. i) Calculate the heat transferred (qh) from the boiler and the cycle efficiency (%). ii) If the efficiency of the cycle ig 42 % and the temperature of the condenser is -12.15 °C, calculate the temperature of the boiler. Interpret the results obtained from (i) and (11) parts.
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