Question: a Use the equation of state for an ideal gas
(a) Use the equation of state for an ideal gas and the definition of the coefficient of volume expansion, in the form β = (1/V) dV/dT, to show that the coefficient of volume expansion for an ideal gas at constant pressure is given by β = 1/T, where T is the absolute temperature. (b) What value does this expression predict for β at 0°C? Compare this result with the experimental values for helium and air in Table 19.1. Note that these are much larger than the coefficients of volume expansion for most liquids and solids
Answer to relevant QuestionsStarting with Equation 19.10, show that the total pressure P in a container filled with a mixture of several ideal gases is P = P1 + P2 + P3 + ., where P1, P2, . . . , are the pressures that each gas would exert if it alone ...An aluminum cup of mass 200 g contains 800 g of water in thermal equilibrium at 80.0°C. The combination of cup and water is cooled uniformly so that the temperature decreases by 1.50°C per minute. At what rate is energy ...A 1.00-km steel railroad rail is fastened securely at both ends when the temperature is 20.0°C. As the temperature increases, the rail begins to buckle. If its shape is an arc of a vertical circle, find the height h of the ...A 3.00-g lead bullet at 30.0°C is fired at a speed of 240 m/s into a large block of ice at 0°C, in which it becomes embedded. What quantity of ice melts?An ideal gas is enclosed in a cylinder that has a movable piston on top. The piston has a mass m and an area A and is free to slide up and down, keeping the pressure of the gas constant. How much work is done on the gas as ...
Post your question