Physics

Problem

During a laboratory experiment an ideal gas is found to obey the relation

P V^{n}=\text{constant}

while it is taken from state 1 to state 2. The measured values are:

P_1=1.0\times10^{5}\,\text{Pa},\;V_1=0.020\,\text{m}^3

and

P_2=2.24\times10^{5}\,\text{Pa},\;V_2=0.010\,\text{m}^3

. a. (a) Calculate the numerical value of the exponent

n

for this process, showing all steps of your working. b. (b) Compare the obtained value of

n

with the values

n=1

(isothermal) and

n=\gamma

(adiabatic, with

\gamma\approx1.67

for a monatomic gas). State which type of process the experiment most closely represents and justify your answer. c. (c) Briefly explain two practical factors in an experimental setup that could lead to a value of

n

lying between 1 and

\gamma

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