Question

Сколько молекул содержится в газе объемом 2 м^3, при давлении 150 кПа и температуре 27°C?

Answer 1

Вот держи, что не понятно спрашивай=)

Answer 2

Calculation of the Number of Molecules in a Gas

To calculate the number of molecules in a gas, we can use the ideal gas law equation, which states:

PV = nRT

Where: - P is the pressure of the gas, - V is the volume of the gas, - n is the number of moles of the gas, - R is the ideal gas constant, and - T is the temperature of the gas in Kelvin.

To find the number of molecules, we need to convert the given values to the appropriate units and rearrange the equation to solve for n.

Conversion of Units

The given values are: - Volume (V) = 2 m^3 - Pressure (P) = 150 kPa - Temperature (T) = 27°C

We need to convert the temperature from Celsius to Kelvin. The conversion formula is:

T(K) = T(°C) + 273.15

Substituting the given temperature value into the formula, we get:

T(K) = 27 + 273.15 = 300.15 K

Now that we have the values in the correct units, we can proceed with the calculation.

Calculation

Using the ideal gas law equation, we can rearrange it to solve for n:

n = PV / RT

Substituting the given values into the equation:

n = (150 kPa) * (2 m^3) / (8.314 J/(mol·K) * 300.15 K)

Simplifying the equation:

n ≈ 0.012 mol

Calculation of the Number of Molecules

To calculate the number of molecules, we can use Avogadro's number, which is approximately 6.022 x 10^23 molecules/mol.

Number of molecules = n * Avogadro's number

Substituting the value of n into the equation:

Number of molecules ≈ 0.012 mol * 6.022 x 10^23 molecules/mol

Calculating the result:

Number of molecules ≈ 7.2264 x 10^21 molecules

Therefore, there are approximately 7.2264 x 10^21 molecules in a gas with a volume of 2 m^3, a pressure of 150 kPa, and a temperature of 27°C.

Please note that the above calculation assumes an ideal gas behavior and neglects any deviations from ideality.