Question

CРОЧНО!!!! ДАЮ 100б Обчисліть число молекул метану СН 4 , якщо його об’єм 112 л (н.у.).

Answer 1

Ответ:

Дано:

V(CH₄) = 112 л

Знайти: N(CH₄)

Рішення:

n(CH₄) = V\Vm = 112 л\22,4 л\моль= 5 моль

N = n·Na = 5моль · 6,023·10²³ моль ⁻¹ = 30 ·10²³

Відповідь: 30 ·10²³

Объяснение:

Answer 2

Calculating the Number of Methane Molecules

To calculate the number of molecules of methane (CH4) in a given volume, we can use the ideal gas law, which relates the number of moles of a gas to its volume, pressure, and temperature. The ideal gas law is given by the equation:

PV = nRT

Where: - P = pressure - V = volume - n = number of moles - R = ideal gas constant - T = temperature

Given: - Volume (V) = 112 L - Standard temperature and pressure (STP) conditions: 0 °C (273 K) and 1 atm - The ideal gas constant (R) is approximately 0.0821 L·atm/(K·mol)

We can rearrange the ideal gas law to solve for the number of moles (n):

n = PV / RT

Substituting the given values: n = (1 atm) * (112 L) / (0.0821 L·atm/(K·mol) * 273 K)

Let's calculate the number of moles using the given values.

Calculation

n = (1 atm) * (112 L) / (0.0821 L·atm/(K·mol) * 273 K)

n ≈ 4.48 moles

Now, to find the number of molecules, we can use Avogadro's number, which is approximately 6.022 x 10^23 molecules per mole.

Finding the Number of Molecules

Number of molecules = (number of moles) * (Avogadro's number)

Number of molecules ≈ 4.48 moles * (6.022 x 10^23 molecules/mol)

Result

Number of molecules ≈ 2.70 x 10^24 molecules

So, the number of molecules in 112 liters of methane at standard temperature and pressure is approximately 2.70 x 10^24 molecules.