An ideal gas with γ=1. 67 is initially at 0°c in a volume of 10. 0 l at a pressure of 1. 00 atm. It is then expanded adiabatically to a volume of 10. 4 l. What is the final temperature of the gas?

Respuesta :

-7.1C is the final temperature of the gas where an ideal gas with γ=1. 67 is initially at 0°c in a volume of 10. 0 l at a pressure of 1. 00 atm. It is then expanded adiabatically to a volume of 10. 4 l.

What is an ideal gas equation?

The ideal gas law (PV = nRT) relates the macroscopic properties of ideal gases.

An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).

PVγ =constant and PV =nRT

here γ is gamma

TVγ-1 =constant

[tex]T_1[/tex] = 273k

[tex]V_1[/tex] =10L

[tex]V_2[/tex] =10.4L

T[tex]V_1[/tex].67-1 =constant

T[tex]V_1[/tex]0.67 =constant

([tex]\frac{273}{T_2}[/tex]) =([tex]\frac{10.4 X 0.67}{10}[/tex])

[tex]T_2[/tex] =265.919K

=-7.1C

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