   Chapter 5, Problem 74GQ

Chapter
Section
Textbook Problem

Which evolves more energy on cooling from 50 °C to 10 °C: 50.0 g of water or 100. g of ethanol (Cethanol = 2.46 J/g · K)?

Interpretation Introduction

Interpretation:

The solution which evolves more energy on cooling at the given conditions has to be determined.

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,

Mass of the water is 50g

Specific capacity of water is 4.184J/gK

The difference in the temperature is 100C-500C=-400C=-40K

In case of water,

qwater =4.184J/gK×50g×-40K=-8368J

Mass of the ethanol is 100g

Specific capacity of water is 2

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