A student drops an object weighing 10.89 g into a 100.00 mL of ethanol in a measuring cylinder. An unknown volume of ethanols pills 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.
148.77 g/L
0.15 g/L
406.34 g/L
108.90 g/L
To solve this problem, we need to use the formula:
density = mass / volume
First, we need to find the volume of the object, which is equal to the volume of the ethanol that spilled out. We can calculate this by subtracting the final volume of the ethanol (73.20 mL) from the initial volume (100.00 mL):
volume of object = 100.00 mL - 73.20 mL
volume of object = 26.80 mL
Next, we need to convert the volume of the object from milliliters to liters, since the density formula requires units in g/L:
volume of object = 26.80 mL / 1000 mL/L
volume of object = 0.02680 L
Now, we can calculate the density of the object by dividing its mass by its volume:
density = mass / volume
density = 10.89 g / 0.02680 L
density = 406.34 g/L
Therefore, the density of the object is 406.34 g/L. The correct answer is C.
To calculate the density of the object in g/L, we need to first calculate the volume of the object.
Given:
Weight of object = 10.89 g
Initial volume of ethanol = 100.00 mL
Final volume of ethanol = 73.20 mL
Volume of object = Initial volume of ethanol - Final volume of ethanol
= 100.00 mL - 73.20 mL
= 26.80 mL
Now, we need to convert the volume of the object from mL to L by dividing it by 1000:
Volume of object = 26.80 mL / 1000
= 0.0268 L
Next, we can calculate the density using the formula:
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.
To calculate the density of the object in g/L, we need to know the mass and volume of the object. From the given information, we know that the volume of the ethanol that spilled out is equal to the volume of the object.
Let's break down the given data:
- Mass of the object = 10.89 g
- Initial volume of the ethanol in the measuring cylinder = 100.00 mL
- Volume of the ethanol remaining in the measuring cylinder = 73.20 mL
To find the volume of the object, we subtract the volume of the remaining ethanol from the initial volume of ethanol like this:
Volume of the object = Initial volume of ethanol - Volume of remaining ethanol
Volume of the object = 100.00 mL - 73.20 mL
Volume of the object = 26.8 mL
Now that we have the mass and volume of the object, we can calculate its density using the formula:
Density = Mass / Volume
Plugging in the values:
Density = 10.89 g / 26.8 mL
To convert mL to L, we divide by 1000 (since there are 1000 mL in 1 L):
Density = 10.89 g / (26.8 mL / 1000)
Density = 10.89 g / 0.0268 L
Simplifying the calculation:
Density = 406.34 g/L
Therefore, the density of the object is 406.34 g/L.