Question

The volume of helium in a blimp is 6.28 × 109 milliliters. The density of helium in the blimp is 0.1786 . 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 × 107 kg D. 2,840 kg

Answer 1

Let mass = density × volume

6.28 × 109 ml = 684.52 ml

                      =0.68452 L = 6.8452 × 10⁻⁴ m³

                      = 6.8452 × 10⁻³ cubic centimeter

density = 0.1786 kg/cm³

∴ Mass =0.1786 ×( 6.8452 × 10⁻³)

             =1.22 × 10⁻³ kg

Answer 2

Given:

Density = 6.28

Volume = 109ml

To Find:

the mass of the helium in the blimp.

Solution:

Let the mass of the helium in the blimp = density × volume

                                                684.52ml  = 6.28 × 109ml

                                                  0.68452l = 6.8452 × $10^{-3}$

                                                                  = 6.8452 × $10^{-3}$ cubic cm

So, density = 0.1786kg/cm³

Mass = 0.1786 × (6.8452 × $10^{-3}$)

         = 1.22 × $10^{-3}$kg

Therefore, the mass of the helium in the blimp = 1.22 × $10^{-3}$kg.