Question

В колбе объемом 1 л содержится кислород при температуре 17°С. В колбу впускают некоторое количество этого газа, из – за чего его давление повышается на 5 кПа. Сколько молекул газа было впущено в колбу? Молярная масса кислорода 0,032 кг/моль.

Answer 1

Смотри во вложении.

Answer 2

Calculation of the Number of Gas Molecules

To calculate the number of gas molecules that were introduced into the flask, we can use the ideal gas law equation:

PV = nRT

Where: - P is the pressure of the gas (in pascals) - V is the volume of the gas (in cubic meters) - n is the number of moles of the gas - R is the ideal gas constant (8.314 J/(mol·K)) - T is the temperature of the gas (in Kelvin)

Given: - Volume of the flask (V) = 1 L = 0.001 m^3 - Temperature of the gas (T) = 17°C = 17 + 273.15 K = 290.15 K - Pressure increase (ΔP) = 5 kPa = 5000 Pa - Molecular mass of oxygen (O2) = 0.032 kg/mol

To find the number of moles (n) of the gas, we can rearrange the ideal gas law equation:

n = PV / RT

Let's calculate the number of moles of oxygen gas (O2) first:

n = (P + ΔP) * V / (R * T)

Substituting the given values:

n = (P + ΔP) * V / (R * T) = (P + 5000) * 0.001 / (8.314 * 290.15)

Now, we can calculate the number of gas molecules (N) using Avogadro's number (6.022 x 10^23 molecules/mol):

N = n * Avogadro's number

Substituting the calculated value of n:

N = (P + 5000) * 0.001 / (8.314 * 290.15) * 6.022 x 10^23

Let's calculate the final result.