Answered: A 0.867 kg sample of ethanol is in its…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 20.8OQ: Beryllium has roughly one-half the specific heat of water (H2O). Rank the quantities of energy input...

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Question

A 0.867 kg sample of ethanol is in its liquid state at its boiling temperature of 78 C. If 1.93e5 J of energy are transferred into the sample, what percentage of the sample is vaporized?

ethanol has:

a specific heat of 1000 J/kgK in solid form,

a specific heat of 2010 J/kgK in liquid form,

a freezing temperature of –114 C

a boiling temperature of 78 C,

a latent heat of fusion of 1.05e5 J/kg, and

a latent heat of vaporization of 8.54e5 J/kg

Expert Solution

Step 1

Consider an ethanol of mass m having latent heat of vaporization L_v and Q_given is the amount of heat is given to the sample.

m 0.867 kg
L-8.54x10 kg
Qgven =1.93x10 J
given

Step 2

Write the formula for heat(Q_required) required to change its state to vapour from liquid of the entire ethanol and plug the required values to find it.

Qrequired mL
=(0.867 kg)(8.54x10 Jkg)
= 7.4x10 J

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