What is the equation for the Ideal Gas Law?

What is the equation for the Ideal Gas Law?

• A. P V = n R T
• B. P = n R T / V
• C. P V = R T / n
• D. P V = n R T

Answer: (D)

At the heart of this concept is how an ideal gas behaves: pressure and volume are linked to how much gas there is and how hot it is. The standard expression is PV = nRT, which shows that pressure times volume scales with the number of moles and the temperature, with R as the constant that ties the variables together. This form makes the dependency clear: increasing temperature or the amount of gas increases the product PV, while keeping P, V, and T consistent with n, R, and the units used. You can rearrange it to P = nRT/V or V = nRT/P, and those are equivalent ways to describe the same relationship when units are kept consistent. The option PV = RT/n would misplace how the amount of substance appears in the equation and would not have the correct units or interpretation for the ideal gas law, so it does not describe the correct relationship.

At the heart of this concept is how an ideal gas behaves: pressure and volume are linked to how much gas there is and how hot it is. The standard expression is PV = nRT, which shows that pressure times volume scales with the number of moles and the temperature, with R as the constant that ties the variables together. This form makes the dependency clear: increasing temperature or the amount of gas increases the product PV, while keeping P, V, and T consistent with n, R, and the units used.

You can rearrange it to P = nRT/V or V = nRT/P, and those are equivalent ways to describe the same relationship when units are kept consistent. The option PV = RT/n would misplace how the amount of substance appears in the equation and would not have the correct units or interpretation for the ideal gas law, so it does not describe the correct relationship.