Ch 11HW C Exercise 11.42 12 of 13 PartA Assume all temperatures to be exact In a

Question

Ch 11HW C Exercise 11.42 12 of 13 PartA Assume all temperatures to be exact In an experiment, a 0.170-kg piece of a ceramic material at 15 C is placed in liquid nitrogen at its boiling point to cool in a perlectly insulated fask which allows the gaseous N2 to immediately escape. How many liters of liquid nitrogen will be boiled away during this operation? (Take the specific heat of the ceramic mater al to be that of glass and the density of Iquid ntrogen to be 0 80 ×103 kg/m3 ) Express your answer using two significant figures Submit Provide Feedback

Explanation / Answer

According to the given problem,

Given,

Mass of glass: m = 0.170 kg, specific heat of glass: C = 0.84 kJ/kg-°K [Google]
T = 15 °C
Using, mass of nitrogen: m' = V where, V = volume.
and boiling point of nitrogen: T' = -195.8 °C [Google]
density of nitrogen: = 0.8*103 kg/m³
latent heat of vaporization of nitrogen: 200 kJ/kg[Google]

Q = mCT = 0.17*0.84*[15 -(-195.8)] = 30.1 kJ

This amount of heat is available to vaporize the nitrogen:

Q = m'L = VL = 0.8*103 V*200

30.1 = 0.8*103 V*200

V = 1.8814*10-4 m3

V = 0.18814 = 0.2 L

I hope you understood the problem, If yes rate me! or else comment for a better solution.

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