Question

a weather balloon holds 2600 cubic meters of helium. the density of helium is 0.1755 kilograms per cubic meter. how many kilograms of helium does the balloon contain?

Answer 1

Answer:

The weather balloon contains 456.3 kilogram of helium.

Solution:

It is given that the weather balloon hold 2600 cubic meter of helium which means per cubic meter the weather balloon hold 2600 helium. Now it is given that the density of the the helium is 0.1755 kilogram per cubic meter. We have to find how many kilogram of helium does the balloon contain.

To find out the kilogram of helium balloon contains we multiply the amount of helium the balloon contains per cubic meter and the density of the helium per cubic meter

Thus balloon contains 2600 × 0.1755 = 456.3 kilogram of helium.

Answer 2

Density is function of volume and mass. The amount of helium (in kilograms) the considered balloon contains is $456.3 \: \rm kg$

How are density, volume and mass of a substance related?

Suppose that a finite amount of substance is there having its properties as:

• mass of substance = m kg
• density of substance = d kg/m³
• volume of that substance = v m³

Then, they are related as:

$d = \dfrac{m}{v}$

For the given case, we are given that:

Volume of balloon = volume of helium it contains = 2600 m³ = m

Density of helium it contains = 0.1755 kg/m³ = d

Let its mass be m, then:

$d = \dfrac{m}{v}\\m = d \times v = 2600 \times 0.1755 = 456.3 \: \rm kg$

Thus, the amount of helium (in kilograms) the considered balloon contains is $456.3 \: \rm kg$

Learn more about density, mass and volume here:

https://brainly.com/question/952755