a gas whose intial temperature is 27 degree celsius is compressed adiabatically to 8 times its initial pressure. if its gamma=1.5 find the rise in temperature in this transformation
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The rise in temperature is 375 K.
Explanation:
Correct statement:
An ideal gas at 27∘C is compressed adiabatic-ally to 8/27 of its original volume. If γ=5/3, then the rise in temperature is
Given data:
Initial temperature "T1" = 27 degree Celsius = 300 K
Gamma "γ" = 5/3
For an adiabatic process TVγ−1= constant. Therefore
T1 / T2 = [V2 / V1]^γ−1
T2 = T1 [ V1 / V2]^γ−1
T2 = 300 [27/8]^5/3 - 1
T2 = 300 [27/8]^2/3
T2 = 675 K
ΔT= 675−300=375 K
Thus the rise in temperature is 375 K.
Also learn more
What is the temperature in kelvin of a gas if it is allowed to expand from 1.50 L to 4.50 L? The initial temperature is 10.0°C and pressure is constant throughout the change.
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