a sample of 3.0 mols of hydrogren gas has a volume of 75ML. 1.5 mols of hydrogen is added if the pressure and temperature remains constant, calculate the final volume of the gas?

4.5 ML that is what i think

37.5 mL.

Explanation:

We can use the general law of ideal gas: PV = nRT.

where, P is the pressure of the gas in atm.

V is the volume of the gas in L.

n is the no. of moles of the gas in mol.

R is the general gas constant,

T is the temperature of the gas in K.

If P and T are constant, and have different values of n and V:

(V₁n₂) = (V₂n₁)

Knowing that:

V₁ = 75 mL, n₁ = 3.0 mol,

V₂ = ? mL, n₂ = 1.5 mol.

Applying in the above equation

(V₁n₂) = (V₂n₁)

∴ V₂ = (V₁n₂) / n₁ = (75 mL) (1.5 mol) / (3.0 mol) = 37.5 mL.