(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