What is the mass of ethyl alcohol that will exactly fill a 200.0 mL container?

Rationale

157.8 g of ethyl alcohol will exactly fill a 200.0 mL container.

The mass of a substance can be determined using its density and volume. Ethyl alcohol (ethanol) has a density of approximately 0.789 g/mL. By multiplying the volume (200.0 mL) by the density, the mass can be calculated as follows: 200.0 mL × 0.789 g/mL = 157.8 g.

A (157.8 g) CORRECT

This choice correctly represents the mass of ethyl alcohol that fills a 200.0 mL container, as calculated using the formula mass = density × volume.

B (25.49 g) YOUR ANSWER

This option underestimates the mass of ethyl alcohol in the container. If we were to use the density of ethanol (0.789 g/mL), this would correspond to a significantly smaller volume than 200.0 mL, suggesting a misunderstanding of the relationship between mass, volume, and density.

C (0.39 g) YOUR ANSWER

This choice is also incorrect, as it is far too low to represent the mass of ethyl alcohol in a 200.0 mL container. Such a small mass would imply an extremely diluted concentration or a volume much less than 200.0 mL, which is not the case here.

D (None of the above) YOUR ANSWER

This option is incorrect because one of the choices provided (157.8 g) accurately represents the mass of ethyl alcohol that fills the 200.0 mL container. Therefore, the statement that none of the options are correct is false.

Conclusion

The calculation of the mass of ethyl alcohol filling a 200.0 mL container reveals that 157.8 g is the correct answer based on the density of ethanol. The other options either represent incorrect calculations or misunderstandings of the density-volume-mass relationship, making them unsuitable choices in this context.

What is the mass of ethyl alcohol that will exactly fill a 200.0 mL container?

157.8 g of ethyl alcohol will exactly fill a 200.0 mL container.

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