Answer to Question #112718 in General Chemistry for brook

Question

A sample of carbon dioxide gas has a volume of 73.4 L at 78.8 °C. Assuming constant pressure, at what temperature will the volume be 189 L?

Answer 1

P₁ = P₂ = constant;

V₁ = 73.4 L;

T₁ = 78.8 °C = 351.95 K;

V₂ = 189 L;

T₂ = unknown.

Solution:

(P₁×V₁)/(T₁) = (P₂×V₂)/(T₂);

P₁ = P₂ = constant;

(V₁)/(T₁) = (V₂)/(T₂);

T₂=(T₁×V₂)/(V₁);

T₂=(351.95 K×189L)/(73.4L)=906.24 K;

T₂=906.24 K - 273.15=633.09 °C;

Answer: 633.09 °C