Flag Electromagnetic Induction> Air (? = 1.4) is pumped at 2 atm pressure...
question mark

Air (γ = 1.4) is pumped at 2 atm pressure in a motor tyre at 20C. If the tyre suddenly bursts, what would be the temperature of the air coming out of the tyre. Neglect any mixing with the atmospheric air.

Radhika Batra , 11 Years ago
Grade 11
anser 2 Answers
Navjyot Kalra
Sol. γ = 1.4, T base 1 = 20°C = 293 k, P base 1 = 2 atm, p base 2 = 1 atm We know for adiabatic process, P base 1^1-γ * T base 1^γ = P base 2^1-γ * T base 2^γ or (2)^1-1.4 * (293)^1.4 = (1)^1-1.4 * T base 2^1.4 ⇒ (2)^0.4 * (293)^1.4 = T base 2^1.4 ⇒ 2153.78 = T base^1.4 ⇒ T base 2 = (2153.78)^1/1.4 = 240.3 K
Last Activity: 11 Years ago
Jitender Pal
Sol. Sol. γ = 1.4, T base 1 = 20°C = 293 k, P base 1 = 2 atm, p base 2 = 1 atm We know for adiabatic process, P base 1^1-γ * T base 1^γ = P base 2^1-γ * T base 2^γ or (2)^1-1.4 * (293)^1.4 = (1)^1-1.4 * T base 2^1.4 ⇒ (2)^0.4 * (293)^1.4 = T base 2^1.4 ⇒ 2153.78 = T base^1.4 ⇒ T base 2 = (2153.78)^1/1.4 = 240.3 K
Last Activity: 11 Years ago
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