QJEEM22Chaa18: JEE Main 2022 Chemistry - Class 11 JEEM22Chaa18 Solution: At 300 K, a sample of 3.0 g of gas A occupies the same volume…

Both gas A and Hydrogen (H₂) gas have same volume at same pressure. Let both 's volume is V and pressure P.

For gas A :

Pressure = P

Temperature (T) = 300 K

Volume = V

Mass = 3 g

Molar mass = M gm/mol

using ideal gas equation,

PV = nRT

$\Rightarrow PV = {3 \over M} \times R \times 300$ ..... (1)

For Hydrogen,

Pressure = P

Temperature (T) = 200 K

Volume = V

Mass = 0.2 g

Molar mass = 2 gm/mol

Using ideal gas equation,

$PV = {{0.2} \over 2} \times R \times 200$ ...... (2)

From (1) and (2), we get

${3 \over M} \times R \times 300 = {{0.2} \over 2} \times R \times 200$

$\Rightarrow$ M = 45