Question

The combined gas law states that

PV
T
= C, where P, V, and T are the pressure, volume, and temperature of a gas, and C is a constant.

Avogadro's Law says that the constant C is directly proportional to the amount of gas, n (moles), where the proportionality factor R is the universal gas constant. So, C = nR.

From these two laws we can derive the Ideal Gas Law, which is
A) P = VnRT
B) PV = nRT.
C) P = V/nRT
D) PV = nR/T

Answer 1

Option B. PV = nRT.

Explanation:

From the above,

C = PV / T. (1)

But, C is directly proportional to n, where R is the gas constant i.e

C & n

C = nR

Substituting the value of C into equation (1), we have:

C = PV / T

nR = PV / T

Cross multiply to express in linear form

nRT = PV

Therefore,

PV = nRT

Step-by-step explanation:

Answer 2

Option B. PV = nRT.

Step-by-step explanation:

From the above,

C = PV / T. (1)

But, C is directly proportional to n, where R is the gas constant i.e

C & n

C = nR

Substituting the value of C into equation (1), we have:

C = PV / T

nR = PV / T

Cross multiply to express in linear form

nRT = PV

Therefore,

PV = nRT