19. How many kilograms of Helium are needed to fill a balloon that is 25.0 liters inyolumne? (Density of He is 0.166 g/ml)

Question

asked May 13, 2023 65.2k views

1 Answer

Steve Westbrook · Answer 1 · 2023-05-19T19:12:58+0000

ANSWER

4.15 kg

Step-by-step explanation

We have the volume and density and we want to find the mass. The formula for density is:

$\rho=(m)/(V)$

Solving for m:

$m=\rho\cdot V$

First we have to adjust the units. The density is given in g/mL and the volume is given in liters, so we can find the equivalent volume in mL:

Now we replace and find the mass:

$m=0.166(g)/(mL)\cdot25000mL$

The mL gets cancelled and the result is in grams:

Which we have to divide by 1000 to find its equivalent in kilograms:

$m=4.15\operatorname{kg}$