In this problem you are to consider an adiabaticexpansion of an ideal diatomic gas, which means that the gas expands with no addition or subtraction of heat.Assume that the gas is initially at pressure p0, volume V0, and temperature T0. In addition, assume that the temperature of the gas is such that you can neglect vibrational degrees of freedom. Thus, the ratio of heat capacities is γ=Cp/CV=7/5.Note that, unless explicitly stated, the variable γshould not appear in your answers--if needed use the fact that γ=7/5 for an ideal diatomic gas. Find an analytic expression for p(V), the pressure as a function of volume, during the adiabatic expansion.Express the pressure in terms of V and any or all of the given initial values p0, T0, and V0. p(V) = __________

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Asked Sep 16, 2019
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In this problem you are to consider an adiabaticexpansion of an ideal diatomic gas, which means that the gas expands with no addition or subtraction of heat.

Assume that the gas is initially at pressure p0, volume V0, and temperature T0. In addition, assume that the temperature of the gas is such that you can neglect vibrational degrees of freedom. Thus, the ratio of heat capacities is γ=Cp/CV=7/5.

Note that, unless explicitly stated, the variable γshould not appear in your answers--if needed use the fact that γ=7/5 for an ideal diatomic gas.

 

Find an analytic expression for p(V), the pressure as a function of volume, during the adiabatic expansion.

Express the pressure in terms of V and any or all of the given initial values p0, T0, and V0.
 
p(V) = __________
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Step 1
For an adiabatic process,
pV constant
The initial pressure is po , the initial volume is V , the final volume is p and the final volume is V
The equation for the given adiabatic process is given by
Pov=pv
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For an adiabatic process, pV constant The initial pressure is po , the initial volume is V , the final volume is p and the final volume is V The equation for the given adiabatic process is given by Pov=pv

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