1 mole of Kr includes Avogadro"s number of atoms, therefore, to calculation the number of moles containing 9.783 * 10^23 atoms, we will do cross multiplication together follows:number of moles = (9.783 * 10^23 *1) / (6.022 * 10^23) = 1.625 moles1 atm is identical to 101325 Pa, therefore:9.25 atm = 937256.25 Pa

The right gas legislation states that:PV = nRT whereP is the press = 937256.25 PaV is the volume we desire to calculaten is the number of moles = 1.625 molesR is the gas constant = 8.31441T is the temperature = 512 k

Substitute through the givens to gain V together follows:937256.25 V = 1.625 * 8.31441 * 512Volume = 7.38 * 10^-3 liters
7.38 liters

Further explanation


Given:

N = 9.783 x 10²³ atoms of Kr p = 9.25 atmT = 512 KAvogadro"s number = 6.02 x 10²³

Question:

The volume the Kr (in liters)

The Process:


Step-1: moles of Kr

We use the conversion formula from the variety of atoms to moles.

You are watching: What is the volume of 9.783 x 1023 atoms of kr at 9.25 atm and 512k?

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Hence, we obtain 1.625 mole of Kr.

Step-2: the volume the Kr

We usage the formula for perfect gas:

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p = pressure in atmV = volume in litersn = amount of problem in molesR = right gas constant, i.e., 0.082 together atm/mol K.T = temperature in Kelvin

Let united state calculate the volume.

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Thus, the volume that Kr is 7.38 liters.

Learn moreTo what temperature would certainly you need to warm the gas to twin its pressure? identify the mass of aspirin from the number of molecules about the systems as a homogeneous mixture

Keywords: the volume, Kr, krypton, atoms, avogadro"s number, moles, atm, pressure, temperature, appropriate gas law


The proportion is 3: 2. I.e. C.

See more: What Is Hol Blocking? Does It Occur In Input Ports Or Output Ports?


D=m/v =57.9/3 = 19.3 g/cm^3
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