A). Consider an ideal gas with an absolute temperature of T1. To what temperature would you need to heat the gas to double its pressure? Express your answer in terms of T1.

For an ideal gas, we use the ideal gas equation to relate pressure, volume and temperature changes. It is expressed as:

PV=nRT

For this case, we set V, n as constant.

P/T = nR/V = constant = k

P = kT

P1/T1 = P2/T2

P1/T1 = 2P1 / T2

T2 = 2P1 (T1) / P1

T2 = 2T1

Therefore, in order to double the pressure of the system, we need to double the temperature as well at constant volume and number of moles.