Answer to Question #26336 in Inorganic Chemistry for sarah

Question

If a sample of gas occupies 6.8 liters at 327 degrees celcius what is the volume at 27 degrees celcius if the pressure does not change?

Answer 1

This question can be solved using the ideal gas law:

PV = nRT
P is pressure
V is volume
n is amount
R is gas constant = 8.31
T is temperature

If V and T are variable, P,n,R are constants

P₁V₁ = nRT₁
P₂V₂ = nRT₂

V₁/T₁ = nR/P₁
V₂/T₂ = nR/P₂
P₁ = P₂

V₁/T₁ = V₂/T₂

Now it is possible to find V₂

V₂ = V₁*T₂/T₁ = 6.8*(273+27)/(273+327) = 3.4 L