Density is the ratio of mass to volume. Mercury has a density of 1.36 x 10^4 kg/m^3. What is the density of mercury in units of g/cm?
1.36e4 kg/m^3(1m/100cm)^3*(1000g/1kg)
1.36e4 kg/m^3(1m/1e2cm)^3*(1w3g/1 kg)
1.36e4 (1m/1e2 )^3*( 1e3 ) g/cm^3
1.36e 7/1e6=13.6g/cm^3
You mean g/cm^3
1.36 *10^4 kg/m^3 * 10^3 g/kg * (1m/10^2cm)^3
= 1.36*10^4*10^3 /10^6
= 1.36 * 10^1
= 13.6 g/cm^3
water is by the way 10^3 kg/m^3 which is 1 g/cm^3
so this just means mercury is 13.6 times as dense as water
Density = 13600kg/m^3 * 1000g/kg * 1m^3/10^6cm^3 = 13.6 g/cm^3.
To convert the density of mercury from kg/m^3 to g/cm^3, we need to use the following conversion factors:
1 kg = 1000 g (since there are 1000 grams in a kilogram)
1 m = 100 cm (since there are 100 centimeters in a meter)
(1 m)^3 = (100 cm)^3 (since the volume is being converted from cubic meters to cubic centimeters)
First, we convert the density from kg/m^3 to g/m^3:
1.36 x 10^4 kg/m^3 = (1.36 x 10^4 kg/m^3) * 1000 g/kg
= 1.36 x 10^7 g/m^3
Next, we convert the volume from m^3 to cm^3:
1.36 x 10^7 g/m^3 = 1.36 x 10^7 g/m^3 * (100 cm)^3 / (1 m)^3
= 1.36 x 10^7 g/m^3 * 10^6 cm^3/m^3
= 1.36 x 10^13 g/cm^3
Therefore, the density of mercury in units of g/cm^3 is 1.36 x 10^13 g/cm^3.