17 of 24 Constants In an experiment to simulate conditions within an automobile engine, 0.165 mol of air at a temperature of 700 K and a pressure of 3.40*106 Pa is contained in a cylinder of volume 280 cm3. Then 690 J of heat is transferred to the cylinder. Part APart complete If the volume of the cylinder is constant while the heat is added, what is the final temperature of the air? Assume that the air is essentially nitrogen gas. T = 901 K Previous Answers Correct Part B If instead the volume of the cylinder is allowed to increase while the pressure remains constant, find the final temperature of the air.

Question

Jason Mckay

Physics

9 August, 10:52

17 of 24 Constants In an experiment to simulate conditions within an automobile engine, 0.165 mol of air at a temperature of 700 K and a pressure of 3.40*106 Pa is contained in a cylinder of volume 280 cm3. Then 690 J of heat is transferred to the cylinder. Part APart complete If the volume of the cylinder is constant while the heat is added, what is the final temperature of the air? Assume that the air is essentially nitrogen gas. T = 901 K Previous Answers Correct Part B If instead the volume of the cylinder is allowed to increase while the pressure remains constant, find the final temperature of the air.

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Answers (1)

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Mario Johns · Answer 1

a. T₂ = 901.43 ° K

b. T₂ = 843.85 ° K

Explanation:

Given

η = 0.165 mol, Q = 690 J, V = 280 cm³, P = 3.40 x 10 ⁶ Pa, T₁ = 700 ° K

Using the equation that describe the experiment of heat

Q = η * Cv * ΔT

a.

Nitrogen Cv = 20.76 J / mol ° K

ΔT = T₂ - T₁

T₂ = [ Q / (η * Cv) ] + T₁

T₂ = [ 690 J / (0.165 mol * 20.76 J / mol ° K) ] + 700 ° K

T₂ = 901.43 ° K

b.

Nitrogen Cp = 29.07 J / mol ° K

T₂ = [ Q / (η * Cv) ] + T₁

T₂ = [ 690 J / (0.165 mol * 29.07 J / mol ° K) ] + 700 ° K

T₂ = 843.85 ° K