Answer:
The right choice is V₂ = 195.7 L
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 is constant, and have different values of P, V and T:
(P₁*V₁) / T₁ = (P₂ * V₂) / T₂
Knowing that:
V₁ = 225 L , P₁ = 0.940 atm
T₁ = 25 °C + 273 = 298 K
V₂ = ??? L, P₂ = 0.990 atm
T₂ = 0 °C + 273 = 273 K
applying in the above equation
(P ₁* V₁) / T₁ = (P₂ * V₂) / T₂
(0.940 atm * 225 L) / 298 K= (0.990 atm * V₂) / 273 K
V₂ = (0.940 atm * 225 L * 273 K) / (298 K * 0.990 atm)
V₂ = 195.7 L
So, the right choice is:
V₂ = 195.7 L