A syringe initially holds a sample of gas with a volume of 285 ml at 355 k and 1.88 atm. To what temperature must the gas in the syringe be heated/cooled in order to have a volume of 435 ml at 2.50 atm?

Question

Physics

Rohan Serrano

4 June, 03:34

A syringe initially holds a sample of gas with a volume of 285 ml at 355 k and 1.88 atm. To what temperature must the gas in the syringe be heated/cooled in order to have a volume of 435 ml at 2.50 atm?

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Answers (1)

Know the Answer?

Amiya Lawson · Answer 1

The answer to your question is 720.5°K

Explanation:

Data

Volume 1 = 285 ml

Temperature 1 = 355 °K

Pressure 1 = 1.88 atm

Volume 2 = 435 ml

Temperature 2 = ?

Pressure 2 = 2.5 atm

Formula

To solve this problem use the combined gas law

P1V1 / T1 = P2V2 / T2

- Solve for T2

T2 = T1P2V2 / P1V1

- Substitution

T2 = (355) (2.5) (435) / (1.88) (285)

- Simplification

T2 = 386062.5 / 535.8

- Result

T2 = 720.53°K

Conclusion

The gas must be heated to 720.5°K