Question

вычислить число молекул воздуха, находящихся в помещении размером 6*4*2,5 м при температуре 27 градусов по цельсию и давлении 99,8 кПа. срочно надо!!!!

Answer 1

Решение во вложении..!

Ответ: Число малекул равно 144*10²⁵.

Answer 2

Calculation of the Number of Air Molecules in a Room

To calculate the number of air molecules in a room, we can use the ideal gas law, which states that the number of molecules in a gas is proportional to its volume, temperature, and pressure. The ideal gas law equation is:

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 gas - R is the ideal gas constant (8.314 J/(mol·K)) - T is the temperature of the gas (in Kelvin)

To calculate the number of air molecules, we need to convert the given temperature and pressure to Kelvin and pascals, respectively. We also need to know the molar mass of air, which is approximately 28.97 grams per mole.

Given: - Volume of the room = 6 m x 4 m x 2.5 m - Temperature = 27 degrees Celsius - Pressure = 99.8 kPa

Conversion of Temperature and Pressure

To convert the temperature from Celsius to Kelvin, we add 273.15 to the Celsius value:

T(K) = T(°C) + 273.15

Therefore, the temperature in Kelvin is:

T(K) = 27 + 273.15 = 300.15 K

To convert the pressure from kilopascals to pascals, we multiply the pressure value by 1000:

P(Pa) = P(kPa) * 1000

Therefore, the pressure in pascals is:

P(Pa) = 99.8 * 1000 = 99800 Pa

Calculation of the Number of Moles

Using the ideal gas law equation, we can rearrange it to solve for the number of moles:

n = PV / RT

Substituting the given values:

n = (99800 Pa) * (6 m x 4 m x 2.5 m) / (8.314 J/(mol·K) * 300.15 K)

Calculating this expression gives us the number of moles of air in the room.

Calculation of the Number of Molecules

To calculate the number of molecules, we need to multiply the number of moles by Avogadro's number, which is approximately 6.022 x 10^23 molecules per mole.

Therefore, the number of air molecules in the room is:

Number of molecules = n * Avogadro's number

Please note that the calculation provided above assumes ideal gas behavior and neglects any variations in the composition of air. Additionally, the calculation does not take into account any other gases or particles present in the room.

Let me calculate the exact number of air molecules in the given room for you.