Respuesta :
At STP 1 mole of gas occupies 22.4L. So you just multiply 1.7824g/L by 22.4L and the Liters cancel out. So the final answer is 39.92 and element Argon is closest to this mass so Argon is the element.
Answer: The molar mass of the element is 40 g/mol and element is Calcium.
Explanation:
At STP:
1 mole of a gas contains 22.4 L of volume
Molar mass is defined as the mass of 1 mole of a substance.
To calculate mass of of the substance, we use the equation:
[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]
Volume of gas = 22.4 L
Density of gas = 1.7824 g/L
Putting values in above equation, we get:
[tex]1.7824g/L=\frac{\text{Mass of gas}}{22.4L}\\\\\text{Mass of gas}=(1.7824g/L\times 22.4L)=39.9g\approx 40g[/tex]
The element having molar mass 40 g is Calcium.
Hence, the molar mass of the element is 40 g/mol and element is Calcium.