(II) The density of water at 4^∘ C is 1.00 ×10^3 kg / m^3 . What is water's density at 94^∘ C ?

step 1 The density of water at 4 degrees Celsius is 1 times 10 to 3 kilograms per meters cube. What is

(II) The density of water at 4^∘ C is 1.00 ×10^3 kg / m^3 ....

(II) The density of water at $4^{\circ} \mathrm{C}$ is $1.00 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3} .$ What is water's density at $94^{\circ} \mathrm{C} ?$ Assume a constant coefficient of volume expansion.

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Key Concepts

Density

Density is a measure of mass per unit volume and is a fundamental property of matter. It is typically expressed in units such as kg/m³ and helps to describe how much mass is contained in a given volume.

Thermal Expansion

Thermal expansion refers to the tendency of matter to change in volume in response to a change in temperature. When a substance is heated, its particles move faster and tend to occupy a greater volume, resulting in a decrease in density for a given mass.

Coefficient of Volume Expansion

The coefficient of volume expansion is a material-specific constant that quantifies how much the volume of a substance changes per unit change in temperature. It is defined as the fractional change in volume per degree Celsius (or Kelvin) change in temperature.

Relationship Between Density and Volume Expansion

When a substance experiences thermal expansion, its volume increases while its mass remains constant, leading to a decrease in density. This inverse relationship means that density at a different temperature can be calculated by taking into account the increase in volume as described by the coefficient of volume expansion.

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