Question

Дано: P = 1∙104 Па V = 4·10^–3 м^3 Т = 240,6 К M = 0,032 кг/моль R = 8,31 Дж/К· моль Найти: m, ν, газ -?

Answer 1

PV=vRT; v=pv/RT=(10^4 *4*10^-3)/8.31*240,6=0.02
v=m/M; m=v*M=0.02*0.032=0.0006 кг=0.6 г
Это кислород

Answer 2

Given Information:

We are given the following values: - Pressure (P) = 1 x 10^4 Pa - Volume (V) = 4 x 10^-3 m^3 - Temperature (T) = 240.6 K - Molar mass (M) = 0.032 kg/mol - Gas constant (R) = 8.31 J/(K·mol)

We need to find the following values: - Mass (m) - Number of moles (ν) - Gas constant for the given gas

Calculation:

To find the mass (m), we can use the ideal gas equation:

PV = νRT

Rearranging the equation to solve for mass (m):

m = Mν

where M is the molar mass of the gas.

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

ν = PV / RT

To find the gas constant for the given gas, we can use the ideal gas equation:

R = PV / (νT)

Let's calculate these values using the given information.

Calculation of Mass (m):

Using the equation m = Mν, where M is the molar mass of the gas, we can calculate the mass.

Given: M = 0.032 kg/mol ν = PV / RT

Substituting the given values: ν = (1 x 10^4 Pa) x (4 x 10^-3 m^3) / (8.31 J/(K·mol) x 240.6 K)

Calculating ν: ν = (4 x 10^1 kg·m/s^2) x (4 x 10^-3 m^3) / (8.31 kg·m^2/(s^2·K·mol) x 240.6 K)

Simplifying the units: ν = (4 x 10^1 kg·m) / (8.31 kg·m^2/(s^2·K·mol) x 240.6 K)

Calculating ν: ν ≈ 0.019 mol

Now, substituting the calculated value of ν into the equation m = Mν:

m = (0.032 kg/mol) x 0.019 mol

Calculating m: m ≈ 0.000608 kg

Therefore, the mass (m) is approximately 0.000608 kg.

Calculation of Number of Moles (ν):

Using the equation ν = PV / RT, we can calculate the number of moles.

Given: P = 1 x 10^4 Pa V = 4 x 10^-3 m^3 R = 8.31 J/(K·mol) T = 240.6 K

Substituting the given values: ν = (1 x 10^4 Pa) x (4 x 10^-3 m^3) / (8.31 J/(K·mol) x 240.6 K)

Calculating ν: ν = (4 x 10^1 kg·m/s^2) x (4 x 10^-3 m^3) / (8.31 kg·m^2/(s^2·K·mol) x 240.6 K)

Simplifying the units: ν = (4 x 10^1 kg·m) / (8.31 kg·m^2/(s^2·K·mol) x 240.6 K)

Calculating ν: ν ≈ 0.019 mol

Therefore, the number of moles (ν) is approximately 0.019 mol.

Calculation of Gas Constant for the Given Gas:

Using the equation R = PV / (νT), we can calculate the gas constant for the given gas.

Given: P = 1 x 10^4 Pa V = 4 x 10^-3 m^3 ν = 0.019 mol T = 240.6 K

Substituting the given values: R = (1 x 10^4 Pa) x (4 x 10^-3 m^3) / (0.019 mol x 240.6 K)

Calculating R: R = (4 x 10^1 kg·m/s^2) x (4 x 10^-3 m^3) / (0.019 mol x 240.6 K)

Simplifying the units: R = (4 x 10^1 kg·m) / (0.019 kg·m^2/(s^2·K·mol) x 240.6 K)

Calculating R: R ≈ 8.32 x 10^4 J/(K·mol)

Therefore, the gas constant for the given gas is approximately 8.32 x 10^4 J/(K·mol).

Summary:

Based on the given information and calculations, we have determined the following values: - Mass (m) ≈ 0.000608 kg - Number of moles (ν) ≈ 0.019 mol - Gas constant for the given gas ≈ 8.32 x 10^4 J/(K·mol)