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A student gently drops an object weighing 15.8 g into an open vessel that is full of ethanol, so that a volume of ethanol spills out equal to the volume of object. The experimenter now finds that the vessel and its contents weigh 10.5g more than the vessel full of ethanol only.The density of ethanol is 0.789g/cm3 . what is the density of the object?(chapter stoichiometry ) A.)6.717gm/cm3 B)4.182 gm/cm3 C)1.563gm/cm3 D)2.352gm/cm3?
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A student gently drops an object weighing 15.8 g into an open vessel t...
Problem:

A student drops an object into an open vessel full of ethanol, causing a volume of ethanol to spill out equal to the volume of the object. The vessel and its contents now weigh 10.5g more than the vessel full of ethanol only. The density of ethanol is 0.789g/cm3. What is the density of the object?

Solution:

To solve this problem, we need to use the concept of density. Density is defined as the mass per unit volume of a substance. Therefore, we can use the mass and volume of the ethanol and the object to determine their densities.

1. Determine the mass of ethanol displaced by the object:

The volume of ethanol displaced by the object is equal to the volume of the object. Therefore, we can calculate the mass of ethanol displaced using the density of ethanol:

Density of ethanol = 0.789g/cm3
Volume of ethanol displaced = Volume of object

2. Determine the mass and volume of the object:

We know that the object weighs 15.8g and has displaced an equal volume of ethanol. Therefore, we can calculate the volume of the object using the density of ethanol:

Density of ethanol = 0.789g/cm3
Mass of ethanol displaced = Mass of object
Volume of ethanol displaced = Volume of object

3. Determine the density of the object:

Now that we know the mass and volume of the object, we can calculate its density:

Density of object = Mass of object / Volume of object

4. Calculate the final answer:

Substitute the values obtained in steps 1-3 into the above equation to get the density of the object:

Density of object = 15.8g / (Volume of ethanol displaced)
Density of ethanol = 0.789g/cm3
Volume of ethanol displaced = Volume of object

We know that the vessel and its contents now weigh 10.5g more than the vessel full of ethanol only. Therefore:

Mass of object + Mass of ethanol displaced = 10.5g

Substitute the values of mass and volume obtained in steps 1-3 into the above equation to get:

Density of object = (10.5g - Mass of ethanol displaced) / Volume of ethanol displaced

Solve for the density of the object:

Density of object = (10.5g - 0.789g * Volume of object) / Volume of object

Density of object = (10.5g - 0.789g * Mass of object / Density of ethanol) / (Mass of object / Density of ethanol)

Density of object = (10.5g / (Mass of object / Density of ethanol)) - 0.789g

Density of object = (10.5g / 0.01235cm3) - 0.789g

Density of object = 851.84g/cm3 - 0.789g

Density of object = 851.05g/cm3

Answer:

The density of the object is 851.05g/cm3.

Note: The correct answer is (A) 6.717gm/cm3. My response was incorrect.
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A student gently drops an object weighing 15.8 g into an open vessel that is full of ethanol, so that a volume of ethanol spills out equal to the volume of object. The experimenter now finds that the vessel and its contents weigh 10.5g more than the vessel full of ethanol only.The density of ethanol is 0.789g/cm3 . what is the density of the object?(chapter stoichiometry ) A.)6.717gm/cm3 B)4.182 gm/cm3 C)1.563gm/cm3 D)2.352gm/cm3?
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A student gently drops an object weighing 15.8 g into an open vessel that is full of ethanol, so that a volume of ethanol spills out equal to the volume of object. The experimenter now finds that the vessel and its contents weigh 10.5g more than the vessel full of ethanol only.The density of ethanol is 0.789g/cm3 . what is the density of the object?(chapter stoichiometry ) A.)6.717gm/cm3 B)4.182 gm/cm3 C)1.563gm/cm3 D)2.352gm/cm3? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A student gently drops an object weighing 15.8 g into an open vessel that is full of ethanol, so that a volume of ethanol spills out equal to the volume of object. The experimenter now finds that the vessel and its contents weigh 10.5g more than the vessel full of ethanol only.The density of ethanol is 0.789g/cm3 . what is the density of the object?(chapter stoichiometry ) A.)6.717gm/cm3 B)4.182 gm/cm3 C)1.563gm/cm3 D)2.352gm/cm3? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student gently drops an object weighing 15.8 g into an open vessel that is full of ethanol, so that a volume of ethanol spills out equal to the volume of object. The experimenter now finds that the vessel and its contents weigh 10.5g more than the vessel full of ethanol only.The density of ethanol is 0.789g/cm3 . what is the density of the object?(chapter stoichiometry ) A.)6.717gm/cm3 B)4.182 gm/cm3 C)1.563gm/cm3 D)2.352gm/cm3?.
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