An ideal gas is expanding adiabatically from 314.3 K to 243.3 K, creating 3280 J of...

An ideal gas is expanding adiabatically from 314.3 K to 243.3 K, creating 3280 J of work. What type of gas is it?

Solutions

Expert Solution

Given the gas is expanding

temperatures are T1 = 314.3 k , T2 = 243.3 k
work done W = 3280 J

We know that the work done in Adiabatic process is

W = (R/(gamma -1))(T1-T2)

substituting the values

3280 = (8.314/(gamma-1)(314.3 -243.3)

Gamma = 1.18

We know that Gamma is the ratio of molar specific heats at constant volume and pressure

for triatomic gases , Cp =9/2,Cv = 7/2

gamma = Cp/Cv = (9/2)/(7/2) = 9/7 = 1.28 , the given ideal gas is near this value so it is a Triatomic gas

genius_generous answered 1 year ago

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