Van der waals equation of state

Reference no: EM131011955

While measuring temperature with a gas thermometer, the pressure P and specific volume v = V/n are found to be 98 kPa and 24 × 10-3 m3 mole-1.

(a) Use the equation of state Pv = R Θ to estimate the value of Θ.

(b) Assume that the van der Waals equation of state (P + a/v2)(v - b) = RT gives the correct Kelvin temperature T. Use the van der Waals equation of state to derive an expression that relates the difference T - Θ to P and v.

(c) Find the difference T - Θ for the values of P and v given above when the gas in the thermometer is helium. (See Table 5.2 for values for a and b.)

Reference no: EM131011955

Questions Cloud

How would you measure the cotinine level in the body : When nicotine is absorbed by the body, cotinine is produced. A measurement of cotinine in the body is therefore a good indicator of how much a person smokes. How would you measure the cotinine level in the body

Spontaneously changes to an ice-water mixture : The super-cooling process is reversible, but the spontaneous change is not. What is the change in entropy when 1.0 g of water at -8.0 °C spontaneously changes to an ice-water mixture?

Find the entropy change that occurs : 1. Find the entropy change that occurs when 2.0 kg of water at 90 °C is mixed with 3.0 kg of water at 20 °C.

Construct a contingency table : Construct a contingency table and calculate the percentage difference. Also, conduct a chi-square test. Is there a relationship between bureaucratic quality and economic development

Van der waals equation of state : Assume that the van der Waals equation of state (P + a/v2)(v - b) = RT gives the correct Kelvin temperature T. Use the van der Waals equation of state to derive an expression that relates the difference T - Θ to P and v.

Electromagnetic radiation in thermal equilibrium : The pressure exerted by electromagnetic radiation in thermal equilibrium (called black body radiation) is P = 1 K T4, 3 u where Ku = 7.56 × 10-16 J K-4 m-3.

Device for storing mechanical or electrical energy : Consider the possibility of a "thermal battery," i.e., a device for storing mechanical or electrical energy. Use two large containers as heat reservoirs in which one container contains ice and water in equilibrium while the other contains steam an..

Heat pump with a coefficient of performance : Show that a heat pump with a coefficient of performance COPh greater than a heat pump that operates on a Carnot cycle would violate Clausius' statement of the second law.

Clausius statement of the second law : 1. Prove that, if the Clausius statement of the second law is false, then the Kelvin statement is false. Use diagrams of the type introduced in the chapter.

User Account

All Pages