Volume Mass Density Dime 0.34cm3 6.6706 g/cm3 Penny 0.4332cm3 5.77 g/cm3 Quarter 0.81 cm3 7 g/cm3 Uncertainties COIN Uncertainty in mass δm (grams) (taken as EXACT) Uncertainty in Diameter δd (mm) (taken as EXACT) Uncertainty in Thickness δt (mm) (taken as EXACT) SIG FIGS dime 0.001 0.01 0.01 penny 0.001 0.01 0.01 quarter 0.001 0.01 0.01 RELATIVE UNCERTAINTIES COIN Relative Uncertainty in mass δm/m (%) Relative Uncertainty in Diameter δd/d (%) Relative Uncertainty in Thickness δt/t (%) SIG. FIGS. Dime 0.229 0.074 0.056 Penny 0.044 0.066 0.052 Quarter 0.0176 0.57 0.041 COIN Relative Uncertainty in Volume δV/V = 2*δd/d + δt/t (%) Relative Uncertainty in Mass Density δρ/ρ = δV/V + δm/m (%) SIG. FIGS. Dime 0.186 0.415 Penny 0.17 0.21 Quarter 0.652 0.669 FOR EACH COIN, CALCULATE THE UNCERTAINTY IN THE MASS DENSITY (gm/cm^3) coins Relative Uncertainty in Mass Density δρ/ρ = δV/V + δm/m (%) Mass Density ρ= m/V (grams/cm^3) UNCERTAINTY IN THE MASS DENSITY δρ (gm/cm^3) sigfigs Dime 0.894 6.67 0.0596 Penny 0.801 5.77 0.0462 Quarter 0.67 7.00 0.0469 ---------------------------------------------------------------------------------------------------------------------- FOR EACH COIN, STATE ITS MASS DENSITY (gm/cm^3) IN THE FORM ρ ± δρ COIN MASS DENSITY ρ (grams/cm^3) ROUNDED TO CORRECT SIG FIGS UNCERTAINTY IN MASS DENSITY: δρ (gm/cm^3) SIG. FIGS. ROUNDED TO SAME NUMBER OF DECIMAL PLACES AS ρ IN 1ST COLUMN ρ (gm/cm^3) δρ (gm/cm^3) ρ ± δρ (gm/cm^3) Dime

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

Related questions

Question

Uncertainties

COIN	Uncertainty in mass δm (grams) (taken as EXACT)	Uncertainty in Diameter δd (mm) (taken as EXACT)	Uncertainty in Thickness δt (mm) (taken as EXACT)
SIG FIGS
dime	0.001	0.01	0.01
penny	0.001	0.01	0.01
quarter	0.001	0.01	0.01

			RELATIVE UNCERTAINTIES
COIN	Relative Uncertainty in mass δm/m (%)	Relative Uncertainty in Diameter δd/d (%)	Relative Uncertainty in Thickness δt/t (%)
SIG. FIGS.
Dime	0.229	0.074	0.056
Penny	0.044	0.066	0.052
Quarter	0.0176	0.57	0.041

COIN	Relative Uncertainty in Volume δV/V = 2*δd/d + δt/t (%)	Relative Uncertainty in Mass Density δρ/ρ = δV/V + δm/m (%)
SIG. FIGS.
Dime	0.186	0.415
Penny	0.17	0.21
Quarter	0.652	0.669

FOR EACH COIN, CALCULATE THE UNCERTAINTY IN THE MASS DENSITY (gm/cm^3)

coins	Relative Uncertainty in Mass Density δρ/ρ = δV/V + δm/m (%)	Mass Density ρ= m/V (grams/cm^3)	UNCERTAINTY IN THE MASS DENSITY δρ (gm/cm^3)
sigfigs
Dime	0.894	6.67	0.0596
Penny	0.801	5.77	0.0462
Quarter	0.67	7.00	0.0469

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	FOR EACH COIN, STATE ITS MASS DENSITY (gm/cm^3) IN THE FORM ρ ± δρ
COIN	MASS DENSITY ρ (grams/cm^3) ROUNDED TO CORRECT SIG FIGS	UNCERTAINTY IN MASS DENSITY: δρ (gm/cm^3)
SIG. FIGS.		ROUNDED TO SAME NUMBER OF DECIMAL PLACES AS ρ IN 1ST COLUMN
	ρ (gm/cm^3)	δρ (gm/cm^3)	ρ ± δρ (gm/cm^3)
Dime
Penny
Quarter