9.6g of gas x occupies the same volume as 0.3g of hydrogen under the same condition calculate the Mass of gas x in gram/ mole
To determine the mass of gas x in gram/mole, we need to know its molar mass.
We can use the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.
Since the gases are under the same conditions, we can assume that the pressure, volume, and temperature are constant. So we can write:
(n1) V = (n2) V
where n1 is the number of moles of gas x and n2 is the number of moles of hydrogen.
We know the mass of hydrogen, which is 0.3g, and its molar mass is 2g/mol (from its atomic weight of 1g/mol and 2 atoms per molecule). So we can calculate the number of moles of hydrogen:
n2 = (0.3g) / (2g/mol) = 0.15 mol
Substituting this into the equation above, we get:
(n1) V = 0.15 V
Dividing both sides by V, we get:
n1 = 0.15 mol
So the number of moles of gas x is 0.15 mol.
Now we can calculate its molar mass by dividing its mass (9.6g) by its number of moles (0.15 mol):
Molar mass of gas x = (9.6g) / (0.15 mol) = 64 g/mol
Therefore, the Mass of gas x in gram/mole is 64 g/mol.