at 25˚c the density of water is 0.997g/cm³,the density of ice at -10˚c is 0.917g/cm³. if a soda can volume is 240 ml is filled then frozen at -10˚c, what volume does solid occupy?
To find the volume that the solid (ice) occupies when the soda can is filled and frozen at -10°C, we need to use the concept of density and the given densities of water and ice.
Let's break down the problem step by step:
Step 1: Calculate the mass of the water:
Given that the density of water at 25°C is 0.997 g/cm³, and the volume of the soda can is 240 ml, we can calculate the mass of the water using the formula:
Mass = Density * Volume
Mass of water = 0.997 g/cm³ * 240 ml
Step 2: Convert the volume from milliliters to cubic centimeters:
Since the density is given in grams per cubic centimeter (g/cm³), we need to convert the volume from milliliters to cubic centimeters since 1 ml is equal to 1 cm³.
240 ml = 240 cm³
Step 3: Calculate the mass of the water:
Mass of water = 0.997 g/cm³ * 240 cm³
Now, we have the mass of the water filled in the soda can.
Step 4: Calculate the volume of the ice:
Given that the density of ice at -10°C is 0.917 g/cm³, we can find the volume of the ice using the formula:
Volume = Mass / Density
Volume of ice = Mass of water / Density of ice
Step 5: Calculate the volume occupied by the solid (ice):
Using the calculated mass of water and the density of ice, we can now find the volume occupied by the solid (ice).
Volume of ice = Mass of water / Density of ice
Let's plug in the values and calculate the result:
Mass of water = (0.997 g/cm³ * 240 cm³) = 239.28 g
Density of ice = 0.917 g/cm³
Volume of ice = 239.28 g / 0.917 g/cm³
The volume of the ice will be the result of the above calculation.
To find the volume occupied by the solid (ice) inside the soda can when it is frozen at -10˚C, we can use the concept of density.
First, let's calculate the mass of water in the can:
Given:
Density of water at 25˚C = 0.997 g/cm³
Volume of the soda can = 240 ml
1. Convert the volume of the soda can to cubic centimeters (cm³):
1 ml = 1 cm³
So, the volume of the soda can in cm³ = 240 cm³
2. Calculate the mass of water in the soda can:
Mass = Density × Volume
Mass of water = 0.997 g/cm³ × 240 cm³
Now, let's determine the volume occupied by the ice when it is frozen at -10˚C:
Given:
Density of ice at -10˚C = 0.917 g/cm³
3. Convert the mass of water to the volume occupied by water:
Volume = Mass / Density
Volume of water = (0.997 g/cm³ × 240 cm³) / 0.917 g/cm³
4. Subtract the volume of water from the volume of the soda can to find the volume occupied by the ice:
Volume of ice = Volume of soda can - Volume of water
You can calculate the value using the provided formulas and substitute the given values for a precise result.