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A diesel engine takes in 1 mole of air at 300 K, 1 atm pressure and compresses it adiabatically to 1 3 2 th of the original volume. Considering air as a diatomic ideal gas, the change in temperature is

Options

  1. A900   K
  2. B1200   K
  3. C600   K
  4. D2400   K

Correct answer

A. 900   K

Step-by-step solution

Using T 1 V 1 γ - 1 = T 2 V 2 γ - 1 ⇒ T 2 = T 1 V 1 V 2 γ - 1 ⇒ T 2 = T 1 1 32 7 5 - 1 T 2 = 4 T 1 = 1200   K ∆ T   =   900   K

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