A steel ball 100 mm in diameter and initially at 900°C is placed in air at 30°C. Taking for steel, k = 40 W/mK, p = 7800 kg/m³, and c = 460 J/kgk and if h = 20 W/m²K, find (a) the temperature of the ball after 30 seconds, and (b) the rate of cooling (°C/min) after 30 seconds.

A steel ball 100 mm in diameter and initially at 900°C is placed in air at 30°C. Taking for steel, k = 40 W/mK, p = 7800 kg/m³, and c = 460 J/kgk and if h = 20 W/m²K, find (a) the temperature of the ball after 30 seconds, and (b) the rate of cooling (°C/min) after 30 seconds.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 33P: At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air...

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Concept explainers

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.

Question

Subject: physics

A steel ball 100 mm in diameter and initially at 900°C is placed in air at 30°C. Taking for steel, k =
40 W/mK, p = 7800 kg/m³, and c = 460 J/kgk and if h = 20 W/m2K, find (a) the temperature of the ball after 30
seconds, and (b) the rate of cooling (°C/min) after 30 seconds.

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