select the correct answer. the volume of helium in a blimp is 6.28×10^9 milliliters. the density of helium…

select the correct answer. the volume of helium in a blimp is 6.28×10^9 milliliters. the density of helium in the blimp is 0.1786 $\frac{kilogram}{meter^3}$. find the mass of the helium in the blimp (hint: 1,000 l = 1 cubic meter.) a. 1,120 kg b. 1.12 kg c. 3.52×10^7 kg d. 2,840 kg

select the correct answer. the volume of helium in a blimp is 6.28×10^9 milliliters. the density of helium in the blimp is 0.1786 $\frac{kilogram}{meter^3}$. find the mass of the helium in the blimp (hint: 1,000 l = 1 cubic meter.) a. 1,120 kg b. 1.12 kg c. 3.52×10^7 kg d. 2,840 kg

Answer

Explanation:

Step1: Convert volume to cubic - meters

Since (1\ L = 1000\ mL) and (1\ m^{3}=1000\ L), then (1\ m^{3}=10^{6}\ mL). Given (V = 6.28\times10^{9}\ mL), so (V=\frac{6.28\times 10^{9}}{10^{6}}m^{3}=6.28\times10^{3}m^{3}).

Step2: Use the density - mass formula

The density formula is (\rho=\frac{m}{V}), where (\rho) is density, (m) is mass, and (V) is volume. Rearranging for (m) gives (m = \rho V). Given (\rho=0.1786\frac{kg}{m^{3}}) and (V = 6.28\times10^{3}m^{3}), then (m=0.1786\times6.28\times 10^{3}kg). (m=(0.1786\times6.28)\times10^{3}kg\approx1.12\times10^{3}kg = 1120kg).

Answer:

A. (1,120\ kg)