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3 years ago

A gas occupies a volume of 2.4 L at 14.1 kPa. What volume will the gas occupy at 84.6 kPa?

Chemistry

1 answer:

Naddik [55]3 years ago

3 0

Answer:

0.40 L

Explanation:

Boyle's law for gases states that, at constant temperature, the volume and pressure of a fixed amount of gas are inversely related.

Mathematically, that is:

PV = constant

P₁V₁ = P₂V₂

Here, you have:

V₁ = 2.4 L

P₁ = 14.1 Kpa

P₂ = 84.6 KPa

V₂ = ?

Then, you can solve for V₂:

V₂ = P₁V₁ / P₂

Substitute and compute:

V₂ = 14.1 KPa × 2.4L / 84.6 KPa = 0.40 L ← answer

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Average atomic mass of an element is defined as the sum of masses of each isotope each multiplied by their natural fractional abundance.

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For isotope 1:

Mass of isotope 1 = 27.979 amu

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Fractional abundance of isotope 1 = 0.9212

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Mass of isotope 2 = 28.976 amu

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How many moles of nitrogen are present at STP if the volume is 846L

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Alternatively, you can go the long route and use the ideal gas law to solve for the number of moles of nitrogen given STP conditions (273 K and 1.00 atm). From PV = nRT, we can get n = PV/RT. Plugging in our values, and using 0.08206 L•atm/K•mol as our gas constant, R, we get n = (1.00)(846)/(0.08206)(273) = 37.8 moles, which confirms our answer.

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