MARKING BRAINLIEST!! - Determine the molar mass [MM] of a gas if 2 L of the gas weights 0.500 g at 298 K and 2.00 atm.

3.125g/mol

Explanation:

To find the molar mass of the gas, we need to initially find the number of moles (n) contained in the gas. To find the number of moles, we use the general gas law whose equation is:

PV=nRT

Where; P= Pressure

V= Volume occupied by gas

n= number of moles

R= general gas constant

(0.0821 L atm mol/K)

T= absolute temperature

According to the question; P= 2.0atm, V= 2.0L, n= ?, T= 298K

To find n, we make it the subject of the formula:

n= PV/RT

n= 2.0 × 2.0 / 0.0821 × 298

n= 4/ 24.4658

n= 0.16mol

If number of moles (n) of the gas is 0.16mol and it weighs 0.500g, its molar mass can be found using:

number of moles (n) = mass (g) / molar mass

Making MM subject of the formula;

molar mass = mass / number of moles

MM= 0.500/0.16

MM= 3.125

Hence, the molar mass of the gas is 3.125g/mol.