Data Set 3 corresponds to an Ideal gas of (n = 1 mole) which obeys the following equation.
PV = nRT
Where P is the pressure measured in Pa, V is the volume measured in m^3, n is the number of moles of gas, R is the Gas constant = 8.314J/mol°K, and T is the Gas temperature in Kelvin assumed constant.
Data Set 3
Pressure Pa | Volume m³
101000 | 0.0249
111000 | 0.0228
121000 | 0.0213
131000 | 0.0197
141000 | 0.0179
151000 | 0.0169
161000 | 0.0155
171000 | 0.0146
181000 | 0.0139
191000 | 0.0132
Plot P vs. V and comment on the type of relationship between these quantities.
Plot P vs. Vā»Ā¹ and determine the slope of the best fit line. Use this slope to infer the temperature T of the ideal gas.
Estimate the uncertainty in your best fit line and use this to infer the uncertainty in the temperature T.