The pressure P, temperature T, and volume V of an ideal gas are related by PV = nRT, where n is the number of moles of the gas and R is the universal gas constant. For the purposes of this exercise, let nR = 1; therefore P = T/V.

a. Suppose that the volume is held constant and the temperature increases by ΔT = 0.05. What is the approximate change in the pressure? Does the pressure increase or decrease?

b. Suppose that the temperature is held constant and the volume increases by ΔV = 0.1. What is the approximate change in the pressure? Does the pressure increase or decrease?

c. Suppose that the pressure is held constant and the volume increases by ΔV = 0.1. What is the approximate change in the temperature? Does the temperature increase or decrease?