A scientist has a sample of a liquid with a density of 2.5 G/ML. Which of the following objects will sink in liquid.
A) object A: mass = 1g, volume = 10cm3
B) object B: mass = 10g, volume = 1cm3
C)object C: mass = 20g, volume = 10cm3
D) object D: mass = 10g, volume = 20cm3
The mass of an object alone cannot determine whether it will sink or float in a liquid. It depends on the density of the object compared to the density of the liquid.
To determine if an object will sink or float in liquid with a density of 2.5 g/mL, we need to calculate the density of each object first. Density is calculated by dividing mass by volume:
Density = Mass / Volume
A) Density of object A = 1g / 10cm3 = 0.1 g/cm3
B) Density of object B = 10g / 1cm3 = 10 g/cm3
C) Density of object C = 20g / 10cm3 = 2 g/cm3
D) Density of object D = 10g / 20cm3 = 0.5 g/cm3
Compared to the density of the liquid (2.5 g/mL or 2.5 g/cm3), object A and D have a lower density and will float, while object B has a higher density and will sink. Object C has a density close to that of the liquid, so it may float or sink depending on factors such as surface tension and shape.
Therefore, the answer is B) object B: mass = 10g, volume = 1cm3.
To determine which object will sink in the liquid, we need to calculate the density of each object and compare it with the density of the liquid. The formula to calculate density is:
Density = mass/volume
Let's calculate the density of each object:
A) Object A: Density = 1g / 10cm^3 = 0.1 g/cm^3
B) Object B: Density = 10g / 1cm^3 = 10 g/cm^3
C) Object C: Density = 20g / 10cm^3 = 2 g/cm^3
D) Object D: Density = 10g / 20cm^3 = 0.5 g/cm^3
The density of the liquid is given as 2.5 g/mL, which is the same as 2.5 g/cm^3 since 1 mL is equivalent to 1 cm^3.
Comparing the densities of the objects with the density of the liquid:
A) Object A: 0.1 g/cm^3 < 2.5 g/cm^3 (will float)
B) Object B: 10 g/cm^3 > 2.5 g/cm^3 (will sink)
C) Object C: 2 g/cm^3 < 2.5 g/cm^3 (will float)
D) Object D: 0.5 g/cm^3 < 2.5 g/cm^3 (will float)
Therefore, object B with a density of 10 g/cm^3 will sink in the liquid. The other objects (A, C, and D) will float.