Hello all, looking for some expert guidance again please! ill just get straight into it;(adsbygoogle = window.adsbygoogle || []).push({});

The Question

A fixed mass of gas has an initial volume v0 (v subscript 0) and an initial pressure p0 .It is first compressed at a constant temperature of 27C until its volume is reduced to [tex]1/4 [/tex]v0 State the pressure of the gas, in terms of p0, at the end of this process. The temperature of the gas is now increased until its volume returns to v0. Throughout this process, the gas is allowed to expand in such a way that its pressure remain constant.Calculate the final temperature, in C of the gas.

My answer (brace yourself!)

a) Boyle's law states that

[tex]p . v = c[/tex] So we can deduce that if the volume were to be reduced to a quarter of its original value, then the pressure will increase four-fold.

i.e 4p0 . [tex]1/4 v0[/tex] (4p0 multiplied by one quarter of v0)

b)For this part we know that the pressure = 4p . For the volume to return to its original value, it must be multiplied by 4. (and this is where i get it completely wrong .. well maybe a bit before this!) .so

27 + 273 = 300 K

300 X 4 = 1200.

1200 -273 = 927 C

Now that seems incredibly high to me.Im positive i have gone wrong somewhere.Please enlighten me!

Regards,

Mo

ps: Should i have converted the temperature to kelvins? if not then the answer would be 108 C. i could be using the wrong forumla even ..

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# Homework Help: Yet another pressure/volume/temp question. (no fishes!)

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