A 50.0 mL graduated cylinder has a mass of 65.1 g. When it is filled with an unknown liquid to the 49.3 mL mark, the cylinder and liquid combined have a mass of 120.5 g. Calculate the density of the liquid in g/cm3.

Respuesta :

Answer: The density of liquid is [tex]1.12g/cm^3[/tex]

Explanation:

We are given:

Mass of cylinder, [tex]m_1[/tex] = 65.1 g

Mass of liquid and cylinder combined, M = 120.5 g

Mass of liquid, [tex]m_2[/tex] = [tex](M-m_1)=(120.5-65.1)g=55.4g[/tex]

To calculate density of a substance, we use the equation:

[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]

We are given:

Mass of liquid = 55.4 g

Volume of liquid = 49.3 mL = [tex]49.3 cm^3[/tex]    (Conversion factor:  [tex]1mL=1cm^3[/tex] )

Putting values in above equation, we get:

[tex]\text{Density of liquid}=\frac{55.4g}{49.3cm^3}\\\\\text{Density of liquid}=1.12g/cm^3[/tex]

Hence, the density of liquid is [tex]1.12g/cm^3[/tex]

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