Please provide detailed steps and an explanation, for I am a novice. You will re

Question

Please provide detailed steps and an explanation, for I am a novice. You will recieve full rating if you do so. To give you an idea, you will be asked to "calculate the heat capacity of the metal." and to "calculate the approximate molar mass of the metal using the Law of Dulong and Petit and identify the unknown element."

Question: Suppose that 54.0g of an unknown metal at 99.8 degrees Celsius is immersed in 225 g of water at 21.0 degrees Celsius. After coming to thermal equilibrium, the final temperature of the metal and the water is 23.1 degrees Celsius. Given the approximate heat capacity for water of 4.18 J/(g*degrees Celsius), calculate the heat capacity of the metal. Also, calculate the approximate molar mass of the metal using the Law of Dulong and Petit and identify the element.

Explanation / Answer

m1s1T1 = m2s2T2

54x(smetal)x(99.8-23.1) = 225x4.18x(23.1-21)

on solving for smetal = 0.476 joules/g

Dulong petit lawa

Atomic mass x Specific heat = 25

Atomic mass = 25/0.47 = 53 gram /mol

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