A beaker weighs 0.4when empty and 1.4 when filled with water. What does it weigh when filled with brine of density 1.2g,/cm^3.(density of water B 1.0g/cm^3
The beaker would weigh 1.2 when filled with brine of density 1.2g/cm^3.
To calculate the weight of the beaker filled with brine, we need to determine the weight of the brine first.
Step 1: Calculate the weight of the water in the beaker.
The difference in weight between the empty beaker and the beaker filled with water is:
Weight of water = 1.4 g - 0.4 g = 1.0 g
Step 2: Calculate the volume of the water.
Since the density of water is given as 1.0 g/cm^3, the volume of the water can be calculated using the formula:
Volume = Mass / Density = 1.0 g / 1.0 g/cm^3 = 1.0 cm^3
Step 3: Calculate the weight of the brine.
The density of the brine is given as 1.2 g/cm^3. The volume of the brine will be the same as the volume of water (since it's being filled in the same beaker). Therefore, the weight of the brine can be calculated using the formula:
Weight of brine = Volume of brine x Density of brine = 1.0 cm^3 x 1.2 g/cm^3 = 1.2 g
Step 4: Calculate the weight of the beaker filled with brine.
The weight of the empty beaker is given as 0.4 g. To find the weight of the beaker filled with brine, we need to add the weight of the brine to the weight of the empty beaker:
Weight of beaker filled with brine = Weight of empty beaker + Weight of brine = 0.4 g + 1.2 g = 1.6 g
Therefore, the beaker weighs 1.6 g when filled with brine of density 1.2 g/cm^3.