Question

PEG 400 is a liquid with a specific gravity of 1.13. What volume should be measured for the preparation?

Answer 1

Answer:

354 cm³

Explanation:

Step 1: calculate the density of PEG 400

$Specific gravity({\gamma}) = \frac{density of liquid (\rho _{l})}{density of water (\rho_{w})}$

$1.13=\frac{\rho _{l}}{1(\frac{g}{m^3})}$

${\rho _{l}$ = 1.13X1 = 1.13 $\frac{g}{cm^3}$

Step 2:

Molecular weight of PEG 400 = 400g/mol

Step 3: calculate the volume of PEG 400 to be measured

$Volume _{PEG 400} =\frac{mass of _{PEG 400}}{density of _{PEG 400}}$

$Volume _{PEG 400}=\frac{400}{1.13}(cm^3)$

                                       = 353.98 cm³

                                       ≅354 cm³

Answer 2

353.4 cm³ volume should be measured for the preparation.

Given:

Specific gravity=1.13

To find:

Volume=?

Specific gravity is the ratio of the density (mass of a unit volume) of a substance to the density of a given reference material, often a liquid.

• $\text{Specific gravity}=\frac{\text{density of liquid}}{\text{density of water}}$

On substituting the values, we will get:

$\text{Density of liquid}=1.13*1=1.13 gcm^{-3}$

Molecular weight of PEG 400 =400g/mol

Now, we have the values of density and mass thus volume can be calculated easily:

The density of a substance is its mass per unit volume.

$\text{Volume}=\frac{\text{mass}}{\text{density}}=\frac{400}{1.13} \\\\\text{Volume}=353.4 cm^{3}$

353.4 cm³ volume should be measured for the preparation.

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