July 04, 2020, 06:27:30 AM
Forum Rules: Read This Before Posting

### Topic: Calc volume given mass of object floating/sinking in 2 solutions w dif densities  (Read 196 times)

0 Members and 1 Guest are viewing this topic.

#### calejone

• New Member
•  • Posts: 5
• Mole Snacks: +0/-0 ##### Calc volume given mass of object floating/sinking in 2 solutions w dif densities
« on: February 13, 2020, 11:55:48 AM »
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.

#### AWK

• Retired Staff
• Sr. Member
• • Posts: 7377
• Mole Snacks: +516/-86
• Gender:  ##### Re: Calc volume given mass of object floating/sinking in 2 solutions w dif densities
« Reply #1 on: February 13, 2020, 12:17:47 PM »
definition of density d=m/V
You can easily calculate range of possible volumes.
AWK

#### MNIO

• Full Member
•    • Posts: 99
• Mole Snacks: +12/-1 ##### Re: Calc volume given mass of object floating/sinking in 2 solutions w dif densities
« Reply #2 on: February 13, 2020, 03:41:51 PM »
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 »