A certain sample of a gas has a volume of 20 L at 0°C and 1 atm. A plot of the experimental data of its volume against the Celsi
us temperature, at constant P, gives a straight line of slope 0.0741 L(C)^-1. From these data alone (without making use of the perfect gas law), determine the absolute zero of temperature in degrees Celsius.
The equation of a straight line in which y (dependent variable) is plotted against x (independent variable) is given as y = mx + b. Where m is the slope of the graph and b is the intercept (y value when x = 0).
Given that the volume (V) is plotted against the Celsius temperature (T). It can be represented by the function:
V = mT + b
m = slope = 0.0741 L(C)^-1, b = intercept (value of volume at temperature of 0°) = 20 L
The Molarity of a solution = number of moles / volume. Volume = 244ml = 0.244L So it follows that number of moles = Molarity * volume Number of moles = 0.135 * 0.244 = 0.03945. Hence the number of moles = 0.03945