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If N2 gas, which behaves more like a perfect gas than anyother, is in a containe

ID: 76896 • Letter: I

Question

If N2 gas, which behaves more like a perfect gas than anyother, is in a container which I expand by balf the original volumeto a total of 4 dm^3 isothermally (at constant temperature). The pressure is now 6 bar, what was the original pressure beforethe expansion? You can use any units you like, and show yourwork. HINT: The answer is 9 bar. Will rate livesaver right away! Thanks!!! If N2 gas, which behaves more like a perfect gas than anyother, is in a container which I expand by balf the original volumeto a total of 4 dm^3 isothermally (at constant temperature). The pressure is now 6 bar, what was the original pressure beforethe expansion? You can use any units you like, and show yourwork. HINT: The answer is 9 bar. Will rate livesaver right away! Thanks!!!

Explanation / Answer

       At constant temperature(T)   the ideal gas equation for the N2 gasis                                                                   P1V1 =P2V2                                    initial volume V1= 4 dm3                                      initial pressure P1 = ?                                   final volume V2 = (V1 + V1/2)                                                             = (4 +4/2) dm3                                                              = 6 dm3                                    finalpressure P2 = 6 bar              Now we get the initial pressure by substitute these values in theabove related equation,                                                     P1 = P2V2 /V1                                                          = 6bar*6dm3 / 4dm3                                                            =9 bar                                                            =9 bar             
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