Respuesta :
Answer:
HCl
Explanation:
Choices:
CO: 28.01g/mol
NO₂: 46g/mol
CH₄: 16.04g/mol
HCl: 36.4g/mol
CO₂: 44.01g/mol
It is possible to identify a substance finding its molar mass (That is, the ratio between its mass in grams and its moles). It is possible to find the moles of the gas using general ideal gas law:
PV = nRT
Where P is pressure of gas 0.764atm; V its volume, 0.279L; n moles; R gas constant: 0.082atmL/molK and T its absolute temperature, 295.85K (22.7°C + 273.15).
Replacing:
PV = nRT
PV / RT = n
0.764atm*0.279L / 0.082atmL/molKₓ295.85K = n
8.786x10⁻³ = moles of the gas
As the mass of the gas is 0.320g; its molar mass is:
0.320g / 8.786x10⁻³moles = 36.4 g/mol
Based in the group of answer choices, the identity of the gas is:
HCl
Molar mass of substance is the mass of one mole of substance. The gas is identified as HCl as it has 36.4 g/mol of molar mass.
The substance can be identified from its molar mass. The formula to calculate the molar mass is
[tex]\bold {m = \dfrac w{n}}[/tex]
Where,
n - number of moles
w - given mass of the substance
The number of moles can be calculated by the using ideal gas law
PV = nRT
[tex]\bold {n = \dfrac {PV }{ RT }}[/tex]
Where
P - pressure of gas 0.764 atm;
V its volume, 0.279 L;
n moles;
R gas constant: 0.082atmL/molK
T its absolute temperature, 295.85 K (22.7°C + 273.15).
Put the values in the formula,
[tex]\bold {n = \dfrac {0.764\ atm \times , 0.279 }{ 0.082 \times 295.85 }}\\\\\bold {n =8.786x10^-^3}[/tex]
Now, put the values in the molar mass formula,
[tex]\bold {m = \dfrac {0.320g}{ 8.786x10^-^3} = 36.4\ g/mol}[/tex]
Therefore, the gas is identified as HCl as it has 36.4 g/mol of molar mass.
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