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Grade 11Electromagnetic Induction

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.

Profile image of Radhika Batra
12 Years agoGrade 11
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2 Answers

Profile image of Navjyot Kalra
12 Years ago
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
Profile image of Jitender Pal
12 Years ago
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

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