Question

Определить количество молекул в 1 метре кубического азота и его плотность,если давление 1,33 нПа,а температура 290К? помогите пожалуйста...не понимаю

Answer 1

PV=RTm/M, обе части уравнения делим на V: PV/V=RTm/VM, здесь m/V=ро (плотность), следовательно P=RT(ро)/M, выражайте отсюда ро.
количество молекул N=$N_{A} m /M$

Answer 2

Determining the Number of Molecules in 1 Cubic Meter of Nitrogen

To determine the number of molecules in 1 cubic meter of nitrogen gas, 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 gas - R is the ideal gas constant (8.314 J/(mol·K)) - T is the temperature of the gas (in Kelvin)

In this case, we are given: - P = 1.33 nPa (1.33 × 10^-9 Pa) - V = 1 cubic meter - T = 290 K

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

n = PV / RT

Let's calculate the number of moles of nitrogen gas first.

Using the given values: - P = 1.33 × 10^-9 Pa - V = 1 cubic meter - T = 290 K - R = 8.314 J/(mol·K)

n = (1.33 × 10^-9 Pa) × (1 cubic meter) / (8.314 J/(mol·K) × 290 K)

Calculating this expression gives us the number of moles of nitrogen gas in 1 cubic meter.

Now, to determine the number of molecules, we need to convert the number of moles to the number of molecules using Avogadro's number.

Avogadro's number is approximately 6.022 × 10^23 molecules/mol.

To calculate the number of molecules in 1 cubic meter of nitrogen gas, we multiply the number of moles by Avogadro's number:

Number of molecules = n × Avogadro's number

Let's calculate the number of molecules in 1 cubic meter of nitrogen gas using the calculated value of n.

Calculation:

Using the given values: - n = calculated value from the previous step - Avogadro's number = 6.022 × 10^23 molecules/mol

Number of molecules = n × Avogadro's number

Now, let's calculate the number of molecules in 1 cubic meter of nitrogen gas using the above equation.