7 The Equation for the TrendLine is an equation for a straig

7. The Equation for the TrendLine is an equation for a straight line (inear curve) with the form of: Y=mX + b where: Y = volume ( X = temperature (°C) m slope of the line (cm3/°C) b is the Y-axis intercept (Y value when X = 0 ~ volume) TrendLine Equation: a) Write the TrendLine Equation for your Graph and include the Units for each term in the equation: Equation: (for Temperature-oC) yeDO3g6xta3.053 b) write the Values from the equation for each of the following (include units): Y-intercept\" a 3.1253 cm R-square = Dag1y (no units) 8. Using the equation above (sect 7), calculate the X-intercept. This is the temperature in °C at which the volume of the air sample (Y) is zero. o.89a Post Lab Questions: 1, what is the significance of this temperature (in #8 above)? 2. What is the literature value in °C for this temperature? 3. Calculate the percent error in your result (your calculated value in oC vs. literature value in °C):

Solution

1) This temperature is the theoretically the coldest temperature a which any ideal gas has volume to be zero.This temperature has a value of zero in kelvin and -273.15 in Celcius.(absolute zero).At this temperature ,the forces of attraction between the gas molecules is the highest,so pressure between the molecules is th highet ,thus gas molecules are forced together to become liquid and solid

2) literature value: -273.15 in Celcius.scale

3)y=mx+c

y=0.0895x+23.653

y=0 ,gives X=-23.653/0.0895=-264.279 degree C

% error =[(calculated value-theortical value)/theortical value ]*100=[(-264.279)-(-273.15)/(-273.15)]*100=3.2%