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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)

1 Answer

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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:


V=25L=25000mL

Now we replace and find the mass:


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

The mL gets cancelled and the result is in grams:


m=4150g

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


m=4.15\operatorname{kg}

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