Question

The density of mercury is $13.6\mathrm{gm}/\mathrm{cc}$convert into SI units.

Answer 1

Step 1: Given data :

The density of mercury is $13.6$ gm/cc

Step 2: Defining dimensions of density

Dimensions of Density are ML⁻³

Whereas,

$$\begin{gathered} 1kg=1000g, \\ 1m=100cm \end{gathered}$$

Step 3: Calculation of SI unit

Thus, applying the above values we get

$$\begin{gathered} 13.6g/cc=13.6\times \left({1000}^{-1}\right)\times \left({100}^{-1}\right){}^{-3} \\ =13.6\times {10}^{-3}\times {10}^6 \\ =13.6\times {10}^3 \end{gathered}$$

Hence in the SI unit calculated density is $13.6\times {10}^3\mathrm{kg}/{\mathrm{m}}^3$.