The ideal gas law is PV=nRT, where P is the pressure, V is the volume, n is the number of

moles, R is the universal gas constant, and T is the absolute temperature.

A. What relationship exists between pressure and volume at constant temperature?

B. What relationship exists between pressure and absolute temperature at constant volume?

C. What relationship exists between absolute temperature and volume at constant
pressure?​

A. P V = constant if the T and number of molecules is constant

B. P/T = n R / V = constant, so P = constant * T
C. V/T = nR/P = constant, so V = constant * T

(ever pump a tire ? :)

A. To determine the relationship between pressure (P) and volume (V) at constant temperature (T), we can rearrange the ideal gas law equation as follows:

PV = nRT

Since the other variables (n, R, T) are constant, their product (nRT) can be represented by a constant letter, say k. Hence, we have:

PV = k

This equation is known as Boyle's Law. It states that at constant temperature, the pressure of a gas is inversely proportional to its volume. In other words, as the volume decreases, the pressure increases, and vice versa.

B. To determine the relationship between pressure (P) and absolute temperature (T) at constant volume (V), we can again rearrange the ideal gas law equation as follows:

PV = nRT

Dividing both sides by V, we get:

P = (nR/V) * T

Here, n, R, and V are constant. So, the product (nR/V) can again be represented by a constant letter, say k. Thus, the equation becomes:

P = k * T

This equation is known as Gay-Lussac's Law. It states that at constant volume, the pressure of a gas is directly proportional to its absolute temperature. In other words, as the temperature increases, the pressure also increases, and vice versa.

C. To determine the relationship between absolute temperature (T) and volume (V) at constant pressure (P), we can rearrange the ideal gas law equation again:

PV = nRT

Dividing both sides by P, we get:

V = (nR/P) * T

Again, n, R, and P are constant. So, the product (nR/P) can be represented by a constant letter, say k. Thus, the equation becomes:

V = k * T

This equation is known as Charles's Law. It states that at constant pressure, the volume of a gas is directly proportional to its absolute temperature. In other words, as the temperature increases, the volume also increases, and vice versa.