Which of the following correctly describes the relationship between the volume and temperature of a fixed quantity of an ideal gas at constant pressure?
i.V ∝ T
ii.V ∝ 1/T
iii.V = kT
iv.V = k(1/T)
A)iv only
B)i and ii
C)iii and iv
D)i and iii
E)ii and iv

Question

Quizplus · Accepted Answer

According to Charles' Law, at constant pressure, the volume of a fixed quantity of an ideal gas is directly proportional to its absolute temperature (Kelvin). Therefore, the correct relationship between V and T is V ∝ T which corresponds to choice i. This is also known as the volumetric temperature coefficient. Avogadro's Law states that at constant pressure and temperature, the volume of a gas is directly proportional to the number of moles of the gas present. Combining these two laws yields the Ideal Gas Law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the universal gas constant, and T is the absolute temperature. Solving for V gives V = (nR/P)T, where (nR/P) is a constant. Therefore, the correct relationship between V and T is V ∝ T, which corresponds to choice i. Since the quantity (nR/P) is a constant, it can be represented as k. Therefore, the relationship between V and T can also be written as V = kT, which corresponds to choice iii. Choice ii (V ∝ 1/T) and iv (V = k(1/T)) are not correct relationships for the volume and temperature of a fixed quantity of an ideal gas at constant pressure.

Which of the Following Correctly Describes the Relationship Between the Volume