Which of the following values is properly converted? 2000 L = 1000 mL

05.25 cm = 0.000525 mm

35 mg = 0.35g

6 km = 6000000 mm

Properly converted : 6 km = 6000000 mm

Given

Conversion of units

Required

Proper conversion

Solution

In converting units we must pay attention to the conversion factor between units

Let kg to g, then the conversion factor is 10³

1. L to mL = 10³

2000 L to ml = 2.10⁶ ml

wrong conversion

2. cm to mm = 10

5.25 cm = 52.5 mm

wrong conversion

3. mg to g = 10⁻³

35 mg = 35 x 10⁻³ g = 3.5 x 10⁻⁴ g

wrong conversion

4. km to mm = 10⁶

6 km = 6 x 10⁶ mm

proper conversion

= 3.064 g/L

Using the equation;

PV = nRT , where P is the pressure,. V is the volume, n is the number of moles and T is the temperature and R is the gas constant, 0.08206 L. atm. mol−1.

Number of moles is 1 since one mole has a mass equivalent to the molar mass.

Therefore; We can find the volume and thus get the density.

V = nRT/P

   = (1 × 0.08206 × 498 )/ 0.939

   = 43.52 L

But; density = mass/volume

Therefore;

Density = 133.34 / 43.52

             = 3.064 g/L