Question

A mass of an ideal gas equation at equation is suddenly compressed to four times its original pressure. Calculate the final temperature of the gas.

19 Jan 2026
Answer :
Word Count : 147
Given: * Ideal gas with ( \gamma = 1.5 ) * Initial temperature ( T_1 = 27^\circ \text{C} = 27 + 273 = 300 , \text{K} ) * Sudden compression (adiabatic) to ( P_2 = 4 P_1 ) For an adiabatic process: [ \frac{T_2}{T_1} = \left(\frac{P_2}{P_1}\right)^{(\gamma-1)/\gamma} ] Step 1: Substitute values: [ \frac{T_2}{300} =
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