Question

В сосуде при определенных условиях помещается 0,17 моль кислорода. Если этот сосуд при тех же условиях заполнить неизвестным газом, то масса сосуда оказывается на 5,1 г меньше, чем в случае, когда он заполнен кислородом. Чему равна молярная масса неизвестного газа? Ответ приведите с точностью до целых. Очень срочно!!

Answer 1

Х-молярная масса неизвестного газа
M(O2)=32г/моль
m(O2)=32*0,17=5,44г
m(X)=5,44-5,1=0,34г
M(X)=0,34/0,17=2г/моль

Answer 2

Calculation of the Molar Mass of the Unknown Gas

To determine the molar mass of the unknown gas, we can use the ideal gas law equation:

PV = nRT

Where: - P is the pressure of the gas (assumed to be constant) - V is the volume of the gas (assumed to be constant) - n is the number of moles of the gas - R is the ideal gas constant - T is the temperature of the gas (assumed to be constant)

Given that the volume, pressure, and temperature are constant, we can simplify the equation to:

n = PV / RT

Let's denote the number of moles of oxygen as n1 and the number of moles of the unknown gas as n2.

According to the problem statement, when the vessel is filled with oxygen, the mass of the vessel is 5.1 g more than when it is filled with the unknown gas.

We can use the molar mass of oxygen (32 g/mol) to calculate the number of moles of oxygen:

n1 = mass1 / molar mass1

Similarly, we can calculate the number of moles of the unknown gas:

n2 = mass2 / molar mass2

Since the mass of the vessel is 5.1 g less when filled with the unknown gas compared to when filled with oxygen, we have:

mass2 = mass1 - 5.1 g

Substituting the equations for n1 and n2 into the equation above, we get:

(mass1 / molar mass1) = (mass1 - 5.1 g) / molar mass2

Simplifying the equation, we can solve for the molar mass of the unknown gas:

molar mass2 = (mass1 / (mass1 - 5.1 g)) * molar mass1

Now, let's substitute the given values into the equation and calculate the molar mass of the unknown gas.

Given: - Number of moles of oxygen (n1) = 0.17 mol - Mass of the vessel when filled with oxygen (mass1) = ? - Mass of the vessel when filled with the unknown gas (mass2) = mass1 - 5.1 g - Molar mass of oxygen (molar mass1) = 32 g/mol

We need to find the molar mass of the unknown gas (molar mass2).

Calculation Steps:

1. Calculate the mass of the vessel when filled with oxygen: - mass1 = n1 * molar mass1

2. Calculate the mass of the vessel when filled with the unknown gas: - mass2 = mass1 - 5.1 g

3. Calculate the molar mass of the unknown gas: - molar mass2 = (mass1 / (mass1 - 5.1 g)) * molar mass1

Let's perform the calculations.

Calculation:

1. Calculate the mass of the vessel when filled with oxygen: - mass1 = 0.17 mol * 32 g/mol = 5.44 g

2. Calculate the mass of the vessel when filled with the unknown gas: - mass2 = 5.44 g - 5.1 g = 0.34 g

3. Calculate the molar mass of the unknown gas: - molar mass2 = (5.44 g / (5.44 g - 5.1 g)) * 32 g/mol = 68 g/mol

Therefore, the molar mass of the unknown gas is 68 g/mol.

Please note that the calculations are based on the given information and assumptions.