A student drops an object weighing 10.89 g into a 100.00 mL of ethanol in a measuring cylinder. An unknown volume of ethanol spills out which is equal to the volume of the object. The volume of the ethanol remaining in the measuring cylinder in now 73.20 mL. Calculate the density of the object in g/L.

Question

A student drops an object weighing 10.89 g into a 100.00 mL of ethanol in a measuring cylinder. An unknown volume of ethanol spills out which is equal to the volume of the object. The volume of the ethanol remaining in the measuring cylinder in now 73.20 mL. Calculate the density of the object in g/L.

0.15 g/L

148.77 g/L

406.34 g/L

108.90 g/L

Answer 1

First, we need to find the volume of the object:

Volume of spilled ethanol = Volume of object

Volume of object = 100.00 mL - 73.20 mL = 26.80 mL

Next, we can calculate the density of the object using the formula:

Density = mass/volume

We have the mass of the object (10.89 g) and we just found the volume (26.80 mL), but we need to convert the volume to liters:

26.80 mL x 1 L/1000 mL = 0.0268 L

Now we can plug in the values:

Density = 10.89 g/0.0268 L = 406.34 g/L

So the density of the object is 406.34 g/L. Answer: \boxed{406.34 \text{ g/L}}.

Answer 2

To calculate the density of the object in g/L, you can use the formula:

Density = Mass / Volume.

First, let's calculate the mass and volume of the object.

The mass of the object is given as 10.89 g.

The volume of the object is equal to the volume of ethanol that spilled out, which is equal to the difference in the initial and final volume of the ethanol in the measuring cylinder.

Initial volume of ethanol = 100.00 mL
Final volume of ethanol = 73.20 mL

Volume of the object = Initial volume - Final volume
Volume of the object = 100.00 mL - 73.20 mL
Volume of the object = 26.80 mL

Now, we need to convert the volume of the object from mL to L.

1 L = 1000 mL

Volume of the object in L = 26.80 mL / 1000 mL/L
Volume of the object in L = 0.0268 L

Now, we can calculate the density of the object using the formula:

Density = Mass / Volume

Density = 10.89 g / 0.0268 L

Density = 406.34 g/L

So, the density of the object is 406.34 g/L.

Answer 3

To calculate the density of the object in g/L, we need to use the formula:

Density = mass/volume

First, we need to find the mass of the object. We know that the object weighs 10.89 g.

Next, we need to find the volume of the object. Since the volume of ethanol that spilled out is equal to the volume of the object, and the volume of the ethanol remaining in the measuring cylinder after the object was dropped is 73.20 mL, we can subtract 73.20 mL from 100.00 mL to find the volume of the object:

Volume of the object = 100.00 mL - 73.20 mL = 26.80 mL

Now, we need to convert the volume of the object from mL to L, since the given density units are g/L. There are 1000 mL in 1 L, so:

Volume of the object = 26.80 mL * (1 L / 1000 mL) = 0.0268 L

Now we can calculate the density:

Density = mass / volume
Density = 10.89 g / 0.0268 L = 406.34 g/L

Therefore, the density of the object is 406.34 g/L.

Option C, 406.34 g/L, is the correct answer.