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When 1.0g of gasoline burns, it releases 11kcal. The density of gasoline is0.74g/mL. (3.4,3.6)

a How many megajoules are released when 1.0gal of gasoline burns?

bIf a television requires150kJ/h to run, how many hours can the television run on the energy provided by 1.0gal of gasoline?

Short Answer

Expert verified

Part a

aThe gasoliene burns when 128.65MJare released.

Part b

bThe gasoliene energy needs n=900hrsto run.

Step by step solution

01

Step: 1 Given Information: (Part a)

Given data are: 1.0galgasoliene and 11kcalof energy and role="math" localid="1651856436534" 0.74g/mLgasoliene density,

To find the quantity of megajoules released.

02

Step: 2 Finding energy: (Part a) 

The density as 0.74g/ml

volume=MassDensity

Volume==1.0g0.74g/ml

Volume=1.35mL

Energy as

E=11kcal×4.184

E=42.024kJ.

03

Step: 3 Finding megajoules: (Part a) 

The energy of gasoliene burns at

=3773.6mL×46.024kJ1.35mLof energy=128649.01kJ=128.65MJ.

As a result,the energy released isrole="math" localid="1651856924121" 128.65MJ.

04

Step: 2 Given Information: (Part b)

Given data are: 150KJ/hand 1.0galof gasoliene and 11kcalof energy and 0.74g/mLgasoliene density, .

To find the number of hours required to run television.

05

Step: 5 Finding number of hours: (Part b)

Energy needed 300KJto run 2hrs.

The number of hours as,

n=1.35×105×2300

n=900hrs.

As a result,the number of hours needed isn=900hrs.

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