A container has a mass of 78.91 g when empty and 103.72 g when filled with water. The density

step 1 So full mass minus mass when it was empty leads to the mass of water. So first of all, let us de

A container has a mass of 78.91 g when empty and 103.72 g...

A container has a mass of $78.91 \mathrm{~g}$ when empty and $103.72 \mathrm{~g}$ when filled with water. The density of water is $1.0000 \mathrm{~g} / \mathrm{cm}^{3}$. (a) Calculate the volume of the container. (b) When filled with an unknown liquid, the container had a mass of $88.42 \mathrm{~g}$. Calculate the density of the unknown liquid.

A container has a mass of $78.91 \mathrm{~g}$ when empty and $103.72 \mathrm{~g}$ when filled with water. The density of water is $1.0000 \mathrm{~g} / \mathrm{cm}^{3}$. (a) Calculate the volume of the container.
(b) When filled with an unknown liquid, the container had a mass of $88.42 \mathrm{~g}$. Calculate the density of the unknown liquid.

Key Concepts

Determination of Unknown Liquid Density

Once the container's volume is known, it can be used to determine the density of any other liquid by filling the container with the unknown liquid, measuring its mass, and then calculating the density as the mass of the liquid divided by the container's volume. This method is a common application of density measurements in material identification and quality control.

Volume Determination Using a Standard Substance

Using a substance with a known density, such as water, to determine volume is a standard technique in laboratory measurements. By measuring the mass of the substance that fills the container and knowing its density, the volume of the container can be calculated using the relation volume equals mass divided by density.

Density

Density is defined as the mass per unit volume of a substance and is calculated by dividing the mass by the volume. It is a fundamental property in physics and chemistry that helps in identifying materials and understanding their behavior under different conditions.

Mass Difference

The mass difference method involves subtracting the mass of an empty container from the mass when it is filled with a substance to determine the net mass of the contained material. This technique is essential for accurately determining the mass contributed solely by the substance within the container.

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