Answer:
22.94 L.
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 n and T are constant, and have two different values of V and P:
P₁V₁ = P₂V₂
P₁ = 367.0 mm Hg, V₁ = 49.0 L.
P₂ = 784.0 mm Hg, V₂ = ??? L.
∴ V₂ = P₁V₁/P₂ = (367.0 mm Hg)(49.0 L)/(784.0 mm Hg) = 22.94 L.