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## Homework Statement

a certain gas occupies a bolume of 4m

^{3}at a pressure of 110KN/m

^{2}absolute and a temperature of 20 deg celsius. if the gas is compressed adiabatically until the pressure is 770KN/m

^{2}absolute, find the new volume

the specific heat capacities for this gas are Cp = 995J/kg celsisus Cv = 705J/kg celsius

## Homework Equations

N/A

## The Attempt at a Solution

no equations were given but heres where ive got to so far:

changing units into SI

P1 = 110,000 pa

P2 = 770,000 pa

T1 = 293 K

Q = 0

[tex]\gamma[/tex] = Cp/Cv = 1.41

the only equation i can find in my notes that i think could be used is PV[tex]\gamma[/tex]=constant but i cannot work out how to calculate the final volume from this. any help would be appreciated.

thanks tom