Is there someone help me about thermodynamics

[opeth_35]

ı don't understand how i am going to use the formula of thermodynamics in adiabatic. actually there are a lots of constant in adiabatic..

the question is :
In the course of pumping up a bicycle tire, a liter of air at atmospheric pressure is compressed adiabatically to a pressure of 7 atm. (Air is mostly diatomic nitrogen and oxygen.)
(a)
What is the final volume of this air after compression?
PV^gamma = const i am trying but i cat..
thaks for helping me about that now

 

[Andrew Mason]

ı don't understand how i am going to use the formula of thermodynamics in adiabatic. actually there are a lots of constant in adiabatic..

the question is :
In the course of pumping up a bicycle tire, a liter of air at atmospheric pressure is compressed adiabatically to a pressure of 7 atm. (Air is mostly diatomic nitrogen and oxygen.)
(a)
What is the final volume of this air after compression?
PV^gamma = const i am trying but i cat..
thaks for helping me about that now

what is $\gamma$?
You know the initial P and the initial V, so what is $PV^{\gamma}$?
You know that this value is equal to $P_{final}V_{final}^{\gamma}$. So you now have one equation and one unknown, so you can solve that.

AM

 

[mrmiller1]

gamma is the ratio of heat capacities, Cp/Cv
For dry air at room temperature gamma is 1.4.
It's good to memorize this because it is seen in numerous cituations, such as otto cycles.