Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.


A cylinder fitted with a movable piston contains ideal gas at 27 degrees C, pressure 0.50*10^5 Pa, and volume 1.25 m. What will be the final temperature if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa?

Sagot :

The final temperature is calculated to be 41.8 degrees Celcius if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa

The final temperature can be calculated by using the combined gas law as follows;

[tex]\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }[/tex]

Here [tex]P_{1}[/tex] and [tex]P_{2}[/tex] represent the initial and final pressure respectively,

[tex]V_{1}[/tex] and [tex]V_{2}[/tex] represent the initial and final volume respectively

[tex]T_{1}[/tex] and [tex]T_{2}[/tex] represent the initial and final temperature respectively

Converting [tex]T_{1}[/tex] to kelvin as follows;

[tex]T_{1}[/tex] = 27 degrees Celcius = 27 + 273 = 300 K

Now the final temperature can be determined by substituting the values in this equation of the combined gas law as follows;

(0.50×10^5)(1.25) / 300 = (0.82×10^5)(0.80) / [tex]T_{2}[/tex]

208.333333333 = (0.82×10^5)(0.80) / [tex]T_{2}[/tex]

208.333333333 ([tex]T_{2}[/tex]) = (0.82×10^5)(0.80)

[tex]T_{2}[/tex] = (0.82×10^5)(0.80) ÷ 208.333333333

[tex]T_{2}[/tex] = 314.8 K

Converting K to degree Celcius as follows;

[tex]T_{2}[/tex] = 314.8 - 273 = 41.8 degree Celcius

Hence 41.8 degrees Celcius is calculated to be the final temperature.

Although a part of your question is incorrect, you might be referring to this question:

A cylinder fitted with a movable piston contains ideal gas at 27 degrees C, pressure 0.50*10^5 Pa, and volume 1.25 m^3. What will be the final temperature if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa?

To learn more about temperature; click here:

https://brainly.com/question/18723435

#SPJ4

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.