3. Under normal conditions, gases behave according to the Ideal Gas Law, described by the equation PV = nRT , where P is the pressure of the gas, V is its volume, n is the number of moles of gas, T is the temperature of the gas, and the constant R=8.314 KPa-liters mol-kelvin. Note: KPa stands for kilo Pascals - a unit of pressure. (a) Suppose there are 0.721 moles of Helium gas inside a balloon. Find the exact change in temperature of the Helium gas as its pressure changes from 111.000 to 111.001 KPa and its volume from 15.000 to 14.999 liters. Round the final answer to three decimal places. (b) Suppose there are 0.721 moles of Helium gas inside a balloon. Use differentials to find an approximate change in temperature of Helium gas as its pressure changes from 111.000 to 111.001 KPa and its volume from 15.000 to 14.999 liters. Round the final answer to three decimal places. (c) Find the % Relative Error for the approximate change in temperature value.
3. Under normal conditions, gases behave according to the Ideal Gas Law, described by the equation PV = nRT , where P is the pressure of the gas, V is its volume, n is the number of moles of gas, T is the temperature of the gas, and the constant R=8.314 KPa-liters mol-kelvin. Note: KPa stands for kilo Pascals - a unit of pressure. (a) Suppose there are 0.721 moles of Helium gas inside a balloon. Find the exact change in temperature of the Helium gas as its pressure changes from 111.000 to 111.001 KPa and its volume from 15.000 to 14.999 liters. Round the final answer to three decimal places. (b) Suppose there are 0.721 moles of Helium gas inside a balloon. Use differentials to find an approximate change in temperature of Helium gas as its pressure changes from 111.000 to 111.001 KPa and its volume from 15.000 to 14.999 liters. Round the final answer to three decimal places. (c) Find the % Relative Error for the approximate change in temperature value.
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
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:3. Under normal conditions, gases behave according to the Ideal Gas Law, described by the equation PV = nRT , where
P is the pressure of the gas, V is its volume, n is the number of moles of gas, T is the temperature of the gas, and
the constant R=8.314 KPa-liters mol-kelvin. Note: KPa stands for kilo Pascals - a unit of pressure.
(a) Suppose there are 0.721 moles of Helium gas inside a balloon. Find the exact change in temperature of the
Helium gas as its pressure changes from 111.000 to 111.001 KPa and its volume from 15.000 to 14.999 liters.
Round the final answer to three decimal places.
(b) Suppose there are 0.721 moles of Helium gas inside a balloon. Use differentials to find an approximate change in
temperature of Helium gas as its pressure changes from 111.000 to 111.001 KPa and its volume from 15.000 to
14.999 liters. Round the final answer to three decimal places.
(c) Find the % Relative Error for the approximate change in temperature value.
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