1. The change in entropy associated
with the expansion or compression of an ideal gas is given by the equation :
where n is the number of moles
of the gas, CV is the molar heat capacity of the gas at constant
volume, T is the absolute temperature of the gas, and V is the volume of the
gas. Find the change in entropy attending the expansion of 1.00 mole of an
ideal gas from 1.00 liter to 5.00 liters if the temperature drops from 300K to
284K. Take CV =(3/2) R and R = 8.314 J mol-1 K-1.
2. The toal volume, in
milliliters, of a glucose-water solution is given by the equation
where m is the molality of
the solution. The partial molar volume of glucose,
is the slope
of a curve of V versus m. Find the partial
molar volume of glucose in a 0.100 m solution of glucose in water.
3. The equation of a straight
line passing through the origin of a Cartesian coordinate system is y = mx,
where m is the slope of the line. Show that the area of a triangle made up of
this line and the x-axis between x = 0 and x = a is
.
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