Which of the following graphs shows the correct relationship between the pressure and temperature of an ideal gas in a given volume? Note the origin corresponds to P = 0 atm and T = 0 K.

Question

Quizplus · Accepted Answer

According to the ideal gas law, PV = nRT. If we rearrange the equation to solve for P, we get P = (n/V) * R * T. This tells us that pressure is directly proportional to temperature, as long as the number of moles (n) and volume (V) are constant. Therefore, the correct relationship between pressure and temperature is a straight line with a positive slope. Only graph C shows this relationship, with a clear linear increase in pressure as temperature increases. The other graphs either show no relationship (A), a negative relationship (B), or a non-linear relationship (D).

Which of the Following Graphs Shows the Correct Relationship Between