where

# can someone provide me with a step by step answer to this equation?

Submitted by cdailor on Wed, 06/18/2014 - 17:52

A 3.8 x 10^-2 kg sample of silver has a volume of 3.6 x 10^6 nL. Calculate the density of silver in g/mL and g/cm^3.

Never really heard of a nL before, but it must be a nanoliter (1 x 10-9 L)

This really is just a unit conversion problem:

3.8 x 10-2 kg      x     ( 103 g / 1 kg )   =   38 g

3.6 x 106 nL       x      ( 1 L / 109 nL )   =   3.6  x 10-3 L

and  3.6 x 10-3 L    x   (  103 mL / 1 L )   =  3.6 mL

3.6 mL       x  (   1 cm3 / 1 mL  )    =  3.6 cm3

(NOTE:  In each of the above conversions, I multiplied by a conversion factor that had the units I was going to on top, over the unit that I was coming from on the bottom.  When I do a conversion problem I do it in two steps, first determine the units for the conversion factor, and then determine the numbers that go with the units.)

Now plug into the density formula:

density =  mass / volume

Need step to step answers for these equations.

Any help please?! Thank you!

1) A rubber stopper weighing 65.4g is immersed into a graduated cylinder filled with 30.0 mL of liquid. The liquid level then rises to 48.8 mL. Calculate the density of the stopper.

2) If the density of the liquid in the Problem above is 0.785 g/mL, calculate the mass of the liquid in the graduated cylinder.

3) A flask contains 365 mL of water. The density of water is 1.00 g/mL. Calculate the mass of the water in garms. Calculate the volume of water in Liters.

5) What is the density (g/mL) of a rectangular block of wood if it measures 4.0 cm thick, 120 mm long, and 0.57 in wide and has a mass of 0.0620kg ? Will the block sink or float in water?