Calculating the Volume of Ice in a Frozen Soft Drink Bottle

Understanding the Density of Water and Ice

Water has a density of 0.997 g/cm³ at 25°C, while ice has a density of 0.917 g/cm³ at -10°C. These density values play a crucial role in determining the volume of ice formed when water is frozen.

Finding the Volume of Ice in a Soft Drink Bottle

Imagine a scenario where a soft drink bottle with a volume of 1.50L is completely filled with water and then frozen to -10°C. The task at hand is to calculate the volume occupied by the ice in the bottle after freezing.

The Calculation Process

To find the volume of ice in the soft drink bottle, we need to utilize the principle of density. Here's a step-by-step breakdown of the calculation:

Step 1: Calculate the mass of the water in the bottle. Given the volume of the bottle is 1.50 L, convert it to cubic centimeters (cm³). Volume = 1.50 L * 1000 cm³/L = 1500 cm³. Now, calculate the mass using the formula mass = density * volume: Mass = 0.997 g/cm³ * 1500 cm³ = 1495.5 g.

Step 2: Determine the volume of ice formed. With the density of ice being 0.917 g/cm³ and the calculated mass of water as 1495.5 g, apply the formula volume = mass / density to find the volume of ice: Volume = 1495.5 g / 0.917 g/cm³ = 1630.4 cm³.

Final Answer

The volume occupied by the ice in the soft drink bottle is 1.63 L.

Explanation

Through the calculations, we have determined that the volume of ice formed in the soft drink bottle after freezing is approximately 1.63 liters. This process highlights the significance of density in understanding the physical properties of water and ice.