   Chapter 5, Problem 22PS

Chapter
Section
Textbook Problem

What quantity of energy, in joules, is required to raise the temperature of 454 g of tin from room temperature, 25.0 °C, to its melting point, 231.9 °C, and then melt the tin at that temperature? (The specific heat capacity of tin is 0.227 J/g · K, and the heat of fusion of this metal is 59.2 J/g.)

Interpretation Introduction

Interpretation:

The energy required to raise temperature of tin to its melting point has to be calculated.

Concept Introduction:

Heat energy required to raise the temperature of 1g of substance by 1k.Energy gained or lost can be calculated using the below equation.

q=C×m×ΔT

Where,

q= energy gained or lost for a given mass of substance (m),

C =specific heat capacity

ΔT= change in temperature

Explanation

Given,

Melting point of tin= 231.90C

Specific heat capacity=0.222JK/g

Heat of fusion=59.2J/g

Mass=454g

q1= To increase the temperature from 250C to 1000C

q=C×m×ΔT

Substitute for the equation as

q1=0.222JK/g×454g(373K-298K)

q1=7559

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