An air/gasoline vapor mix in an automobile cylinder has an initial temperature of 180 ∘c and a volume of 13 cm3 . if the mixture is heated to 587 ∘c with the pressure and amount held constant, what will be the final volume of the gas in cubic centimeters? express your answer in cubic centimeters to three significant figures.

The final volume will be 24.7 cm³

Explanation:

Step 1: Data given:

Initial temperature = 180 °C

initial volume = 13 cm³ = 13 mL

The mixture is heated to a fina,l temperature of 587 °C

Pressure and amount = constant

Step 2: Calculate final volume

V1/T1 = V2/T2

with V1 = the initial volume V1 = 13 mL = 13*10^-3

with T1 = the initial temperature = 180 °C = 453 Kelvin

with V2 = the final volume = TO BE DETERMINED

with T2 = the final temperature = 587 °C = 860 Kelvin

V2 = (V1*T2)/T1

V2 = (13 mL *860 Kelvin) /453 Kelvin

V2 = 24.68 mL = 24.7 cm³

The final volume will be 24.7 cm³

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