QUESTION 1 A rigid tank of volume 5 m' initially contains saturated water vapor at a temperature of Ti 120°C. Steam at a pressure 1.2 MPa and a temperature of 400 °C enters the tank through a valve in steam line that is connected to the tank until the final pressure in the tank is 800 kPa, at which time the temperature is 200 °C. All kinetic and potential energy effects can be neglected. A schematic of the problem and properties at all state points except state I are shown in the figure below. Initial State in Tank T₁-120 °C, Sat. vapor uj-? kJ/kg v=? m²/kg Steam mi Pi=1.2 MPa, Ti-400 °C hi-3261.3 kJ/kg V=5 m² Final State in Tank T: 200 °C, P: 800 kPa u2631.1 kJ/kg v: 0.26088 m²/kg Q a) Given that the initial state of the steam is a saturated vapor at T₁-120 °C, read the values of the specific volume, vi, in m'/kg b) Given that the initial state of the steam is a saturated vapor at T₁=120 °C, read the value of the specific internal energy, u₁, at state 1 in kJ/kg c) Calculate the initial mass, m₁, of steam in the tank in kg

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Chapter1: Introduction
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QUESTION 1
A rigid tank of volume 5 m' initially contains saturated water vapor at a temperature of Ti= 120°C.
Steam at a pressure 1.2 MPa and a temperature of 400 °C enters the tank through a valve in steam fine
that is connected to the tank until the final pressure in the tank is 800 kPa, at which time the temperature
is 200 °C. All kinetic and potential energy effects can be neglected. A schematic of the problem and
properties at all state points except state I are shown in the figure below.
Initial State in Tank
T₁-120 °C, Sat. vapor
j? kJ/kg
vj=? m³/kg
Steam
mi
Pi=1.2 MPa,
Ti-400 °C
hi-3261.3 kJ/kg
V=5 m³
Final State in Tank
T: 200 °C, P: 800 kPa
u=2631.1 kJ/kg
v: 0.26088 m²/kg
a) Given that the initial state of the steam is a saturated vapor at T₁=120 °C, read the values of the
specific volume, v₁, in m'/kg
b) Given that the initial state of the steam is a saturated vapor at T₁=120 °C, read the value of the
specific internal energy, u₁, at state 1 in kJ/kg
c) Calculate the initial mass, mi, of steam in the tank in kg
Transcribed Image Text:QUESTION 1 A rigid tank of volume 5 m' initially contains saturated water vapor at a temperature of Ti= 120°C. Steam at a pressure 1.2 MPa and a temperature of 400 °C enters the tank through a valve in steam fine that is connected to the tank until the final pressure in the tank is 800 kPa, at which time the temperature is 200 °C. All kinetic and potential energy effects can be neglected. A schematic of the problem and properties at all state points except state I are shown in the figure below. Initial State in Tank T₁-120 °C, Sat. vapor j? kJ/kg vj=? m³/kg Steam mi Pi=1.2 MPa, Ti-400 °C hi-3261.3 kJ/kg V=5 m³ Final State in Tank T: 200 °C, P: 800 kPa u=2631.1 kJ/kg v: 0.26088 m²/kg a) Given that the initial state of the steam is a saturated vapor at T₁=120 °C, read the values of the specific volume, v₁, in m'/kg b) Given that the initial state of the steam is a saturated vapor at T₁=120 °C, read the value of the specific internal energy, u₁, at state 1 in kJ/kg c) Calculate the initial mass, mi, of steam in the tank in kg
d) Calculate the final mass, m. of steam in the tank in kg
e) By making a mass balance on the control volume, calculate the mass of steam the entered the
tank, mi, in kg
f) By making an energy balance on the system and assuming the system lost heat as shown on
the diagram, compute the heat lost Q during the process in kJ
g) What can you say about the direction of the heat transfer, Q?
Transcribed Image Text:d) Calculate the final mass, m. of steam in the tank in kg e) By making a mass balance on the control volume, calculate the mass of steam the entered the tank, mi, in kg f) By making an energy balance on the system and assuming the system lost heat as shown on the diagram, compute the heat lost Q during the process in kJ g) What can you say about the direction of the heat transfer, Q?
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