A mass of dry air at NTP is compressed to 1/32 th of its original volume suddenly. If gamma=1.4 find final pressure
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As sudden transfer of heat doesnt takes place the process is adiabatic...
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Use the formula,
P₁ = 1 atm and γ = 1.4
![(1)(V_0)^{1.4} = P_2\times[\frac{V_0}{32}]^{1.4}\\P_2=(32)^{1.4}\\P_2=(2^5)^{1.4}\\P_2=2^{5\times1.4}=2^7 = 128\: \text{atm}](https://tex.z-dn.net/?f=%281%29%28V_0%29%5E%7B1.4%7D+%3D+P_2%5Ctimes%5B%5Cfrac%7BV_0%7D%7B32%7D%5D%5E%7B1.4%7D%5C%5CP_2%3D%2832%29%5E%7B1.4%7D%5C%5CP_2%3D%282%5E5%29%5E%7B1.4%7D%5C%5CP_2%3D2%5E%7B5%5Ctimes1.4%7D%3D2%5E7+%3D+128%5C%3A+%5Ctext%7Batm%7D "(1)(V_0)^{1.4} = P_2\times[\frac{V_0}{32}]^{1.4}\\P_2=(32)^{1.4}\\P_2=(2^5)^{1.4}\\P_2=2^{5\times1.4}=2^7 = 128\: \text{atm}")
P₁ = 1 atm and γ = 1.4
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