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

Rationale

157.8 g is the mass of ethyl alcohol that exactly fills a 200.0 mL container.

To determine the mass of ethyl alcohol (ethanol) that fills a 200.0 mL container, we need to use the density of ethanol, which is approximately 0.789 g/mL. By multiplying the volume (200.0 mL) by the density, we find that the mass is 157.8 g.

A (157.8 g) CORRECT

This choice is correct as it results from the calculation of mass using the formula: mass = density × volume. With a density of 0.789 g/mL, the mass for 200.0 mL of ethyl alcohol is calculated as 0.789 g/mL × 200.0 mL = 157.8 g.

B (253.49 g) YOUR ANSWER

This value does not correspond to the correct mass of ethyl alcohol for the given volume. It may result from an incorrect density assumption or calculation error. Given the density of ethanol, this mass is too high for 200.0 mL.

C (0.0039 g) YOUR ANSWER

This mass is significantly lower than expected for 200.0 mL of ethyl alcohol. It may stem from a misunderstanding of density or unit conversion errors. The density indicates that the mass should be much greater than this small value.

D (None of the above) YOUR ANSWER

This option is incorrect because the mass of 157.8 g accurately represents the mass of ethyl alcohol in the container. Since a correct answer is provided in option A, "None of the above" cannot be the right choice.

Conclusion

The calculation of the mass of ethyl alcohol filling a 200.0 mL container reveals that it is 157.8 g, based on its density of 0.789 g/mL. The other options either miscalculate the mass or do not apply to the problem, reinforcing the importance of understanding density in volumetric calculations.

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

157.8 g is the mass of ethyl alcohol that exactly fills a 200.0 mL container.

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