Exercise 17.18 A steel tank is completely filled with 2.80 m3 of ethanol when bo

Question

Exercise 17.18

A steel tank is completely filled with 2.80 m3 of ethanol when both the tank and the ethanol are at a temperature of 33.5 C .

Part A

When the tank and its contents have cooled to 16.0 C , what additional volume of ethanol can be put into the tank?

Express your answer using two significant figures.

m3

Tip the answers are not

ANSWER 1: Deduction: -3%

ANSWER 2: Deduction: -3%

34.98

36.75103

Exercise 17.18

A steel tank is completely filled with 2.80 m3 of ethanol when both the tank and the ethanol are at a temperature of 33.5 C .

Part A

When the tank and its contents have cooled to 16.0 C , what additional volume of ethanol can be put into the tank?

Express your answer using two significant figures.

V =

m3

Tip the answers are not

ANSWER 1: Deduction: -3%

ANSWER 2: Deduction: -3%

V =

34.98

m3 V =

36.75103

m3

Explanation / Answer

First we need to find final volumes of steel tank as well as ethanol.

We use volume expansion as below,

Vfsteel = Visteel [1+steel(Tf-Ti)]= 2.80(1+32.4*10^-6(16.0-33.5)] = 2.7984124 m^3

Vfethanol= Viethanol[1+steel(Tf-Ti)]= 2.80(1+11.2*10^-4(16.0-33.5)] = 2.74512 m^3

V = 2.7984124 - 2.74512 = 0.0532924 = 0.053 m^3

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