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

PHYSICS · Multi-part · CBSE · Physics · Thermodynamics · Thermodynamics

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) Calculate the numerical value of the exponent

n

for this process, showing all steps of your working. (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) Briefly explain two practical factors in an experimental setup that could lead to a value of

n

lying between 1 and

\gamma

Related theory

Ideal Gas Law
Equation of State
Thermodynamic Processes
The first law of thermodynamics
Thermodynamics
Isothermal and adiabatic processes

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