1. In recitation, we discussed the process of taking solid water (ice) at below
ID: 1401387 • Letter: 1
Question
1. In recitation, we discussed the process of taking solid water (ice) at below freezing temperatures and adding heat until the water was vaporized. In this context, I drew a graph depicting the regions in which temperature was changing with added heat, and regions where the heat was essentially contributing to the phase change and temperature was constant. Suppose now that we made an analogous graph with something more interesting like iron (Fe). Given all the characteristics below, consider adding heat to a piece of iron weighing 5 kg and raising its temperature from room temperature (T0 = 20C) to Tf = 3000C. Using the physical characteristics listed below, answer the questions about this process. Physical Characteristics of Iron (Fe): Melting Point: Tm = 1535C Latent Heat of Fusion: Lf = 289 kJ/kg Specific Heat of Iron: c = 0.45 kJ Fe kg·C Questions: Boiling Point: Tb = 2750C Latent Heat of Vaporization: Lv = 6363 kJ/kg (a) What is the heat Q1 required to get from room temperature to the melting point? (b) What is the heat Q2 required to turn the iron completely into liquid? (c) What is the heat Q3 required to get from the melting point temperature to boiling point? (d) What is the heat Q4 required to turn the iron completely into vapor? (e) What is the heat Q5 required to get from the boiling point temperature to the final temperature Tf ? (f) With all of these calculated values, construct a graph (Temperature inC vs. Heat Added in kJ) showing all of these processes, labeled in detail with each phase and corresponding units. 1. In recitation, we discussed the process of taking solid water (ice) at below freezing temperatures and adding heat until the water was vaporized. In this context, I drew a graph depicting the regions in which temperature was changing with added heat, and regions where the heat was essentially contributing to the phase change and temperature was constant. Suppose now that we made an analogous graph with something more interesting like iron (Fe). Given all the characteristics below, consider adding heat to a piece of iron weighing 5 kg and raising its temperature from room temperature (T0 = 20C) to Tf = 3000C. Using the physical characteristics listed below, answer the questions about this process. Physical Characteristics of Iron (Fe): Melting Point: Tm = 1535C Latent Heat of Fusion: Lf = 289 kJ/kg Specific Heat of Iron: c = 0.45 kJ Fe kg·C Questions: Boiling Point: Tb = 2750C Latent Heat of Vaporization: Lv = 6363 kJ/kg (a) What is the heat Q1 required to get from room temperature to the melting point? (b) What is the heat Q2 required to turn the iron completely into liquid? (c) What is the heat Q3 required to get from the melting point temperature to boiling point? (d) What is the heat Q4 required to turn the iron completely into vapor? (e) What is the heat Q5 required to get from the boiling point temperature to the final temperature Tf ? (f) With all of these calculated values, construct a graph (Temperature inC vs. Heat Added in kJ) showing all of these processes, labeled in detail with each phase and corresponding units. 1. In recitation, we discussed the process of taking solid water (ice) at below freezing temperatures and adding heat until the water was vaporized. In this context, I drew a graph depicting the regions in which temperature was changing with added heat, and regions where the heat was essentially contributing to the phase change and temperature was constant. Suppose now that we made an analogous graph with something more interesting like iron (Fe). Given all the characteristics below, consider adding heat to a piece of iron weighing 5 kg and raising its temperature from room temperature (T0 = 20C) to Tf = 3000C. Using the physical characteristics listed below, answer the questions about this process. Physical Characteristics of Iron (Fe): Melting Point: Tm = 1535C Latent Heat of Fusion: Lf = 289 kJ/kg Specific Heat of Iron: c = 0.45 kJ Fe kg·C Questions: Boiling Point: Tb = 2750C Latent Heat of Vaporization: Lv = 6363 kJ/kg (a) What is the heat Q1 required to get from room temperature to the melting point? (b) What is the heat Q2 required to turn the iron completely into liquid? (c) What is the heat Q3 required to get from the melting point temperature to boiling point? (d) What is the heat Q4 required to turn the iron completely into vapor? (e) What is the heat Q5 required to get from the boiling point temperature to the final temperature Tf ? (f) With all of these calculated values, construct a graph (Temperature inC vs. Heat Added in kJ) showing all of these processes, labeled in detail with each phase and corresponding units.Explanation / Answer
a) Q1 = mC delta T
= 5 x 0.45 kJ x (1535 - 20) = 3408.75 kJ or 3.408 x 10^6 J
b) Q2 = mL ( melting temperature to get melt)
=5 x 289 = 1445 kJ
from room temperature to get melt = 3408 + 1445 = 4853 kJ
c) from melting point to boiling point = m c delta T
Q3 = 5 x 0.45 x (2750 - 1535) = 2733.75 kJ
d) Q4 = m Lv = 5 x 6363 = 31815 kJ
e) Q5 = mc deltaT
= 5 x 0.45 x (3000 - 2750) = 562.5 kJ
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.