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Use the heat equation to calculate the energy for each of the following (see Table 3.11 ):

a. calories to heat 8.5g of water from 15∘Cto36∘C

b. joules lost when 25g of water cools from 86∘Cto61∘C

c. kilocalories to heat 150g of water from 15∘Cto77∘C

d. kilojoules to heat 175 g of copper from28∘Cto188∘C

Short Answer

Expert verified

a.178.5cal

b.-2615J

c.9.3kcal

d.6.063kJ

Step by step solution

01

introduction

joule, a unit of work or energy in the International System of Units (SI); it is equivalent to the work done by a power of one newton acting through one meter.

02

explanation part (a)

given,

mass = 8.5g

initial temperature = 15oCfinal temperature = 360C

Specific heat of water Cp= 1Cal/g∘C

From the Specific heat formula,

Q=m×tf−ti×Cp

Q=8.5g×(36−15)∘C×1Cal/g∘CQ=178.5cal

03

explanation part (b)

given,

mass =25g

initial temperature = 86oCfinal temperature = 610C

Specific heat of water =4.184J/g∘C

from specific heat formula,

Q=m×tf−ti×CpQ=25g×(61−86)∘C×4.184J/g∘C

Q=-2615J

04

explanation part (c)

given,

mass = 150g

initial temperature =15oCfinal temperature =77oC

Specific heat of water Cp=1Cal/g∘C

from the specific heat formula,

Q=m×tf−ti×Cp

Q=150g×(77−15)∘C×1cal/g∘C

Q=9.3kcal

05

explanation part (d)

given,

mass = 175g

initial temperature = 28oCfinal temperature = 188oC

Specific heat of copper Cp=0.385J/g∘C

From the specific heat formula,

Q=m×tf−ti×Cp

Q=175g×(118−28)∘C×0.385J/g∘C

Q=6.06375kJ

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