An ideal gas at a pressures of $1$ atmosphere and temperature of ${27^o}C$ is compressed adiabatically until its pressure becomes $8$ times the initial pressure, then the final temperature is ..... $^oC$ ($\gamma = 3/2$)
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(d)Using relation$\frac{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{P_2}}}{{{P_1}}}} \right)^{\frac{{\gamma - 1}}{\gamma }}} = {(8)^{\frac{{3/2 - 1}}{{3/2}}}} = 2$.
==> ${T_2} = 2{T_1}$==> ${T_2} = 2\,(273 + 27) = 600K = 327^\circ C$
==> ${T_2} = 2{T_1}$==> ${T_2} = 2\,(273 + 27) = 600K = 327^\circ C$
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