Question

The density of mercury is 13.6 g/mL what is the density in lbs/L ( 1 lb hint =0.454 kg )

Answer 1

The density of mercury is converted from 13.6 g/mL to 29.98 lbs/L by first converting grams to kilograms, then milliliters to liters, and lastly kilograms to pounds using the conversion factor that 1 pound is equal to 0.454 kilograms.

Step-by-step explanation:

To convert the density of mercury from grams per milliliter (g/mL) to pounds per liter (lbs/L), we need to use the given conversion factor that 1 pound is equal to 0.454 kilograms. We know that mercury has a density of 13.6 g/mL, which means 13.6 grams is equivalent to 1 milliliter of mercury. To convert this to lbs/L, consider the following steps:

Convert grams to kilograms, knowing that there are 1,000 grams in a kilogram.

Since 1 mL is equivalent to 0.001 liters, we can scale up the density to that for 1 liter.

Finally, convert kilograms to pounds using the conversion factor.

Performing these steps:

13.6 g/mL × (1 kg / 1000 g) = 0.0136 kg/mL

0.0136 kg/mL × (1000 mL / 1 L) = 13.6 kg/L

13.6 kg/L × (2.20462 lbs / 1 kg) = 29.982272 lbs/L

Therefore, the density of mercury is approximately 29.98 lbs/L.

Answer 2

`30.0(lb)/(L)`

Step-by-step explanation:

Hello,

In this case, since 454 g are equivalent to 1 pound and 1000 millilitres are equivalent to 1 liter, the required density is computed below by applying the corresponding conversion factor:

`=13.6(g)/(mL) *(1lb)/(454g) *(1000mL)/(1L) \\\\=30.0(lb)/(L)`

Regards.