Select the condition(s) that would cause the absolute temperature of the gas to double. (can choose more than one)

Question

a)The pressure is halved, and the volume doubles.

b)The pressure doubles, and the volume remains constant.

c)The pressure doubles, and the volume doubles.

d)The pressure doubles, and the volume is halved.

e)The pressure remains constant, and the volume doubles.

 

Answer 1

You use combined gas law to analyze and answer the questions: P₁V₁/ T₁ = P₂V₂/ T₂

manipulate the combined gas law into: T₂/T₁ = P₂V₂ / P₁V₁

Assign P₁ = 1 atom, V₁ = 1 L and T₁ = 1 K, then answer the question accordingly:

a) T₂/T₁ = (0.5 x 2) / (1x1) = 1

b) T₂/T₁ = (2 x 1) / (1x1) = 2

c) T₂/T₁ = (2 x 2) / (1x1) = 4

d) T₂/T₁ = (2 x 0.5) / (1x1) = 1

e) T₂/T₁ = (1 x 2) / (1x1) = 2

The answers are (b) and (e)