Answer:
37.5 mL.
Step-by-step 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.