An ideal gas at a pressure 1 a t m and temperature of 27 ° C is compressed adiabatically until its pressure becomes 8 times the initial pressures. Then the final temperature is γ = 3 2

Question

An ideal gas at a pressure 1 a t m and temperature of 27 ° C is compressed adiabatically until its pressure becomes 8 times the initial pressures. Then the final temperature is γ = 3 2, 627 ° C, 527 ° C, 427 ° C, 327 ° C

MARKS App · Accepted Answer

Here, p = 1 atm, T 1 = 27 ° C = 27 + 273 = 300 K p 2 = 8 atm, As changes are adiabatic, ∴ p 1 γ − 1 T 1 − γ = p 2 γ − 1 T 2 − γ T 2 T 1 - γ = p 1 p 2 γ - 1 T = 600 K = 600 - 273 ° C = 327 ° C

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