When an ideal gas is compressed adiabatically, work is done on it and its temperature increases; in an adiabatic expansion, the gas does work and its temperature drops. Adiabatic compressions actually...When an ideal gas is compressed adiabatically, work is done on it and its temperature increases; in an adiabatic expansion, the gas does work and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment.
When an ideal gas is compressed adiabatically, work is done on it and its temperature increases; in an adiabatic expansion, the gas does work and its temperature drops. Adiabatic compressions actually...When an ideal gas is compressed adiabatically, work is done on it and its temperature increases; in an adiabatic expansion, the gas does work and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment.
For an adiabatic compression we have p2=p1(V1V2)γ, so after the compression, the pressure of the mixture is \[p_2 = (1.00 \times 10^5 \, N/m^2)\left(\dfrac{240 \...For an adiabatic compression we have p2=p1(V1V2)γ, so after the compression, the pressure of the mixture is p2=(1.00×105N/m2)(240×10−6m340×10−6m3)1.40=1.23×106N/m2. From the ideal gas law, the temperature of the mixture after the compression is \[\begin{align*}T_2 &= \left(\dfrac{p_2V_2}{p_1V_1}\right)T_1 \\[4pt] &= \dfrac{(1.23 \times 10^6 \, N/m^2)(40 \times 10^{-6} m^3)}{(1…