a) Suppose that in the experiment involving P vs. T, the slope of the graph of P vs. T is 235 Pa/L/ Determine the pressure of the gas at T = 0 degrees celsius.
b) The radius of the syringe is approximately 5 mm. Suppose that the pressure of the gas inside the syringe is 2.00 x 10^5 Pa. Determine the force exerted by the gas on the plunger and the force exerted by your hand on the plunger to hold it in equilibrium.
c) Two groups perform the part of the lab involving P vs. V but start with different volumes of air in the syringe. The temperatures of the gases are the same for both groups. Group A attached the pressure sensor when the volume of the syringe is 20 ml and group B when the volume is 10 ml. Using Eq. (1) determine an expression for the slope of these graphs. Identify which quantities in this expression are different for the two groups and use this to relate the slopes of the graphs of P vs. 1/V for the two groups.