March 07, 2021, 09:58:55 AM
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Topic: Calc volume given mass of object floating/sinking in 2 solutions w dif densities  (Read 304 times)

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Offline calejone

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I can't figure out how to set up this problem:

"An object floats in a solution whose density is 1.05 g/mL and it sinks in a solution whose density is 0.950 g/mL. Suppose that the mass of the object is 5.55 g. Which of the following could be its volume?

A.) 5.00mL
B.) 5.10mL
C.) 5.20mL
D.) 5.40mL
E.) 5.90mL

I chose D just kind of making my best guess but I'd really love to understand how to logically figure this out step by step. Any help would be greatly appreciated.

Offline AWK

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definition of density d=m/V
You can easily calculate range of possible volumes.

Offline MNIO

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some hints
  (1) if the object floats on a liquid with density = 1.05g/mL... is the objects
       density < 1.05 g/mL or > 1.05 g/mL?
  (2) if the object sinks in a liquid with density = 0.950 g/mL...
        is the objects density > or < 0.950 g/mL??
  (3) if the objects density is between 0.950 g/mL and 1.05 g/mL,
       and if the objects mass = 5.55g
       can you use d = mass / V to calculate a range of V's for the object?
  (4) can you sort through the list of possibilities and spot which ones fall in that range?
« Last Edit: February 13, 2020, 05:21:04 PM by MNIO »

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