Question

The Spirit of America Goodyear blimp has a volume of 2.027×105 ft3.When the blimp is in operation, it is filled with helium gas. If the density of helium at room temperature is 0.179 g/L, calculate the mass of helium in the blimp.

Answer 1

The mass of helium in the blimps is $\boxed{10.2743{\text{ g}}}$.

Further Explanation:

Density is defined as the mass of the substance per unit volume of the substance. It is represented by the symbol $\rho$. The density of a substance is calculated as follows:

$\rho = \dfrac{{\text{M}}}{{\text{V}}}$  

Here,

$\rho$ is the density of the substance.

M is the mass of the substance.

V is the volume of the substance.

The formula to calculate the density of helium is as follows:

${\text{Density of helium}} = \dfrac{{{\text{Mass of helium}}}}{{{\text{Volume of helium}}}}$                            …… (1)                                  

Rearrange equation (2) to calculate the mass of helium.

${\text{Mass of helium}} = \left( {{\text{Density of helium}}} \right)\left( {{\text{Volume of helium}}} \right)$                …… (2)              

The volume of the blimp is $2.027 \times {10^5}{\text{ f}}{{\text{t}}^3}$. This is to be converted into L. The conversion factor for this is,

$1{\text{ f}}{{\text{t}}^3} = 28.3168{\text{ L}}$  

Since the blimp is filled with helium, the volume of the blimp becomes equal to that of helium. Therefore the volume of helium can be calculated as follows:

$\begin{aligned}{\text{Volume of helium}} &= \left( {2.027 \times {{10}^5}{\text{ f}}{{\text{t}}^3}} \right)\left( {\frac{{28.3168{\text{ L}}}}{{1{\text{ f}}{{\text{t}}^3}}}} \right)\\&= 57.3982{\text{ L}}\\\end{aligned}$  

Substitute 0.179 g/L for the density of helium and 57.3982 L for the volume of helium in equation (2).

$\begin{aligned}{\text{Mass of helium}}&= \left( {{\text{0}}{\text{.179 g/L}}} \right)\left( {{\text{57}}{\text{.3982 L}}} \right)\\&= 10.2743{\text{ g}}\\\end{aligned}$  

Therefore the mass of helium is 10.2743 g.

Learn more:

1. Why is density an important property of matter? brainly.com/question/1593730
2. Which element has the greatest density at STP? brainly.com/question/898857

Answer details:

Grade: Middle School

Chapter: Density

Subject: Chemistry

Keywords: density, mass, volume, helium, mass of helium, conversion factor, 10.2743 g, 0.179 g/L.

Answer 2

Answer: 1.027 x 10^6 g= 1027kg
In this question, you are given the volume of the blimp (2.027×10^5 ft^3) and the density of the gas(0.179g/L). To answer this question, you need to convert the volume unit into liter. The calculation would be: 2.027×10^5 ft^3 x 28.3168L/ft3= 57.398 x 10^5L= 5.74x10^6L

Then to find the mass, multiply the volume with the density. The calculation would be: 5.74x10^6L x 0.179g/L= 1.027 x 10^6 g= 1027kg