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A container holds 400.15 mL of carbon
dioxide gas at and 825 mmHg.
Calculate the volume of gas at
and standard pressure.
a a.
b. 434.37 mL
c.
d. Insufficient information provided

To solve this problem, we can use the Ideal Gas Law and the concept of gas volume under different pressures.

At standard pressure (1 atm or 760 mmHg), we can first calculate the volume of the gas at that pressure using the equation derived from Charles’s and Boyle’s Laws. When keeping the temperature constant at , we’ll use the formula .

Substituting in the known values:

We can find the final volume (V₂):

Calculating gives:

The closest answer choice reflecting this is b. 434.37 mL.

But rounding and using approximations could yield a variation leading you to double-check your math!

Did you know that the gas law applications we use today were developed in part by scientists like Boyle and Charles in the 17th and 18th centuries? Their work revolutionized our understanding of gases and led to the formulations that still guide ideal gas calculations, all while they were figuring out the very nature of the air around us!

Also, keep in mind that converting between pressure units can be a sneaky pitfall. Gas laws typically work in consistent units (like atm or mmHg), so always double-check your conversions and use the correct pressure to avoid those misunderstandings. It’s like following a recipe—one wrong ingredient can change the entire dish!