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An ideal gas at 27°C is compressed adiabatically to 8 of its original volume. 27 The rise in temperature is γ = 5 3
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- 475°C
- 402°C
- 275°C
- 175°C
Correct Option: B
T = 27°C = 300 K
γ = | ; V2 = | V1 ; | = | ||||
3 | 27 | V2 | 8 |
From adiabatic process we know that
T1 V1γ - 1 = T2 V2γ - 1
= | ![]() | ![]() | γ - 1 | = | ![]() | ![]() | (5/3) - 1 | |||
T1 | V2 | 8 |
= | ⇒ T2 = | × T1 = | × 300 = 675 K | |||||
T1 | 4 | 4 | 4 |
T2 = 675 – 273°C = 402°C