DATA You compress a gas in an insulated cylinder—no heat flows into or out of the gas. The gas pressure is fairly low. so treating the gas as ideal is a good approximation. When you measure the pressure as a function of the volume of the gas, you obtain these results:
(a) Graph log (p) versus log (V), with p in Pa and V in m3. Explain why the data points fall close to a straight line. (b) Use your graph to calculate γ for the gas. Is the gas monatomic, diatomic, or polyatomic? (c) When p = 0.101 atm and V = 2.50 L, the temperature is 22.0°C. Apply the ideal-gas equation and calculate the temperature for each of the other pairs of p and V values. In this compression, does the temperature of the gas increase, decrease, or stay constant?
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