The specific gravity of a substance is given by G = DS/DW,

Chapter 3, Problem 9E

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QUESTION:

The specific gravity of a substance is given by \(G=D_{S} / D_{W}\), where \(D_{S}\) is the density of the substance in \(\mathrm{~kg} / \mathrm{m}^{3}\) and \(D_{W}\) is the density of water, which is known to be \(1000 \mathrm{~kg} / \mathrm{m}^{3}\). The density of a particular substance is measured to be \(D_{S}=500 \pm 5 \mathrm{~kg} / \mathrm{m}^{3}\). Estimate the specific gravity, and find the uncertainty in the estimate.

Equation Transcription:

Text Transcription:

G=D_S/D_W

D_S

kg/m^3

D_W

1000 kg/m^3

D_S=500{+/-}5kg/m^3

Questions & Answers

QUESTION:

The specific gravity of a substance is given by \(G=D_{S} / D_{W}\), where \(D_{S}\) is the density of the substance in \(\mathrm{~kg} / \mathrm{m}^{3}\) and \(D_{W}\) is the density of water, which is known to be \(1000 \mathrm{~kg} / \mathrm{m}^{3}\). The density of a particular substance is measured to be \(D_{S}=500 \pm 5 \mathrm{~kg} / \mathrm{m}^{3}\). Estimate the specific gravity, and find the uncertainty in the estimate.

Equation Transcription:

Text Transcription:

G=D_S/D_W

D_S

kg/m^3

D_W

1000 kg/m^3

D_S=500{+/-}5kg/m^3

ANSWER:

Answer :

Step 1 of 3:

         Given the specific gravity of a substance is given by

                                       

            Where,  is the density of the substance in

                         D is the density of water, it's to be 1000

  The density of a particular substance is measured to be  = 5005


 

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