1. A 150 W immersion heater is used to keep the water in a large beaker boiling under standard atmospheric pressure. In 5 minutes, 16 g of water boils away. Neglect any heat loss to surroundings. (a) Find the specific latent heat of vaporization of water, I. A student puts a small metal sphere in the boiling water. After a few minutes, the sphere is quickly transferred to a polystyrene cup containing 100 g of water at a temperature of 20 °C. The cup of water is stirred gently and its highest temperature attained is 22 °C. Given: specific heat capacity of water-4200 J kg-¹ °C- (b) Estimate the heat capacity C of the metal sphere. (e) In fact the sphere has carried with it some boiling water to the cup of water. Referring to this fact, explain whether the true value of C is higher or lower than the value calculated in (b).

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.4DP
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1. A 150 W immersion heater is used to keep the water in a large beaker boiling under standard atmospheric
pressure. In 5 minutes, 16 g of water boils away. Neglect any heat loss to surroundings.
(a) Find the specific latent heat of vaporization of water. I.
A student puts a small metal sphere in the boiling water. After a few minutes, the sphere is quickly transferred
to a polystyrene cup containing 100 g of water at a temperature of 20 °C. The cup of water is stirred gently and
its highest temperature attained is 22 °C.
Given: specific heat capacity of water-4200 J kg-¹ °C-
(b) Estimate the heat capacity C of the metal sphere.
(c) In fact the sphere has carried with it some boiling water to the cup of water. Referring to this fact, explain
whether the true value of C is higher or lower than the value calculated in (b).
Transcribed Image Text:1. A 150 W immersion heater is used to keep the water in a large beaker boiling under standard atmospheric pressure. In 5 minutes, 16 g of water boils away. Neglect any heat loss to surroundings. (a) Find the specific latent heat of vaporization of water. I. A student puts a small metal sphere in the boiling water. After a few minutes, the sphere is quickly transferred to a polystyrene cup containing 100 g of water at a temperature of 20 °C. The cup of water is stirred gently and its highest temperature attained is 22 °C. Given: specific heat capacity of water-4200 J kg-¹ °C- (b) Estimate the heat capacity C of the metal sphere. (c) In fact the sphere has carried with it some boiling water to the cup of water. Referring to this fact, explain whether the true value of C is higher or lower than the value calculated in (b).
(d) In order to reduce the error contributed by the polystyrene cup, another student suggests repeating the
measurements using a copper cup of similar shape and size. Explain whether the suggestion is justified.
Transcribed Image Text:(d) In order to reduce the error contributed by the polystyrene cup, another student suggests repeating the measurements using a copper cup of similar shape and size. Explain whether the suggestion is justified.
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