How many kilojoules (to 3 s.f.) of energy is required to heat 90.0 g H₂O (5.00 moles) from solid ice at -16.0°C to a liquid at 81.0°C? The following physical data may be useful.
How many kilojoules (to 3 s.f.) of energy is required to heat 90.0 g H₂O (5.00 moles) from solid ice at -16.0°C to a liquid at 81.0°C? The following physical data may be useful.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:## Constants:
- \( c = 2.9979 \times 10^8 \) m/s
- \( h = 6.626 \times 10^{-34} \) J per one photon
- \( R = 8.314 \) J/(K mol) = 0.08206 L atm/(K mol)
- \( N_A = 6.022 \times 10^{23} \) particles/mol
- \( R_H = 1.097 \times 10^7 \) m\(^{-1} = 2.178 \times 10^{-18} \) J
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### Problem Statement:
**Question:**
How many kiloJoules (to 3 significant figures) of energy is required to heat 90.0 g H\(_2\)O (5.00 moles) from solid ice at \(-16.0^\circ\)C to a liquid at 81.0°C? The following physical data may be useful:
- \( \Delta H_{\text{fus}} = 6.02 \) kJ/mol
- \( \Delta H_{\text{vap}} = 40.7 \) kJ/mol
- \( C_{\text{liq}} = 4.184 \) J/g°C
- \( C_{\text{gas}} = 2.01 \) J/g°C
- \( C_{\text{sol}} = 2.09 \) J/g°C
- \( T_{\text{melting}} = 0^\circ\)C
- \( T_{\text{boiling}} = 100^\circ\)C
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This content aims to assist students in understanding the amount of energy required to change the state and temperature of a given mass of water from ice at a subzero temperature to liquid at a specified elevated temperature. The constants provided are fundamental for many thermodynamic and quantum mechanics calculations, while the problem requires applying knowledge of thermodynamic equations and phase change enthalpies.
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