A 48.3-mL sample of gas in a cylinder is warmed from 22 °C to
87 ...

Question

A 48.3-mL sample of gas in a cylinder is warmed from 22 °C to
87 °C. What is its volume at the final temperature?

Accepted Answer

Hello everyone today. We are being asked to solve the following problem. A sample of gas with an initial volume of 52.3 middle leaders and a temperature of 47°C is warmed to a temperature of 96°C determine the volume of the sample at the final temperature. Notice what values we're working with volume and temperature. We can therefore determine that we are utilizing Charles law and Charles law directly says that the initial volume is directly proportional to the initial temperature equal to the final volume over the final temperature. Also notice what units are temperatures in. They're in Celsius but with gas law problems, they need to be in kelvin. So for our first initial temperature we take that 47°C. We add to 73.15 Kelvin And we get 320 .15 Kelvin. We do the same for our final temperature. We take 96°C And we add 273.15 Kelvin. To give us a temperature of 369.15 Kelvin. We can also make note of our initial volume which is 52. mil leaders. And with that we can take our values and plug them into our equation. So we have our initial volume which is 52.3 ml Over our initial temperature which is 320.15 Kelvin And we can equal that to our V2 which is unknown over our final temperature Which is 369.15 Kelvin Simple equations will give us V two is equal to a final volume of 60. ml. And with that we have solved the question. I hope this helped, and until next time.

A 48.3-mL sample of gas in a cylinder is warmed from 22 °C to 87 °C. What is its volume at the final temperature?

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