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Water at 23.5°C has a density of 0.99742 g/ml. A 10.5 ml sample of water at 23.5°C, delivered from a pipet had a mass of 10.4532 grams as measured on an analytical balance.
(1) Show the calculation of the actual volume as determined from this mass.
(2) Show the calculation of the % error in volume delivered for this pipet. % error = (%u2502calculated value - delivered value%u2502/ delivered value) x 100

Respuesta :

To solve this problem it is necessary to apply the concepts related to density as a function of mass volume

Density can be expressed mathematically as:

[tex]\rho = \frac{m}{V}[/tex]

Where,

m = mass

V=  Volume

Our values are given as,

[tex]\rho = 0.99742g/mL[/tex]

m = 10.4532g

1) Then the value of the Volume is,

[tex]\rho = \frac{m}{V}[/tex]

[tex]0.99742 = \frac{10.4532}{V}[/tex]

[tex]V = \frac{10.4532}{0.99742}[/tex]

[tex]V = 10.4802mL[/tex]

2) The error can be calculated from the calculated value and the delivered value,

[tex]\%error = \frac{v_c-v_d}{v_d}*100[/tex]

Where,

[tex]v_c =[/tex]Calculated value

[tex]v_d =[/tex]Delivered value

Replacing with our values we have then:

[tex]\%error = |\frac{10.4802-10.5}{10.5}|*100[/tex]

[tex]\%error = 0.18\%[/tex]

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