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A volumetric flask made of Pyrex is calibrated at 20.0°C. It is filled to the 150-mL mark with 34.5°C acetone. After the flask is filled, the acetone cools and the flask warms so that the combination of acetone and flask reaches a uniform temperature of 32.0°C. The combination is then cooled back to 20.0°C. (The average volume expansion coefficient of acetone is 1.50 10-4(°C)−1.) (a) What is the volume of the acetone when it cools to 20.0°C?

Respuesta :

Answer:149.73 ml

Explanation:

Given

[tex]\beta \ of\ acetone=1.50\times 10^{-4} ^{\circ}C^{-1}[/tex]

change in volume is given by

[tex]\Delta V=V_{final}-V_{initial}[/tex]

[tex]\Delta V=\nu_{initial}\beta _{acetone}\left [ T_f-T_i\right ][/tex]

[tex]V_{final}=\nu_{initial}+\nu_{initial}\beta _{acetone}\left [ T_f-T_i\right ][/tex]

[tex]V_{final}=150+150\times 1.50\times 10^{-4}\left [ 20-32\right ][/tex]

[tex]V_{final}=149.73 ml[/tex]

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