Ideal gas law is an equation of state that relates the pressure, volume and temperature for a given mass of an ideal gas.

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The statement concerns the ideal gas law as an equation of state that relates pressure, volume, and temperature for a given amount of an ideal gas.

First, recall the standard form: PV = nRT, where P is pressure, V is volume, T is temperature, n is the number of moles, and R is the gas constant. This form explicitly ties the state variables (P, V, T) to the amount of substance (n).

Now consider the phrase 'for a given mass of an ideal gas.' If you have a fixed mass m and know its molar mass M, you can convert mass to moles via n = m/M. Substituting into the equation gives PV = (m/M) RT, which is still a valid relationship among P, V, T for that fixed mass. In other words, the law can be applied to a fixed mass by using its corresponding number of moles, so the statement remains true.

This also helps address potential confusion: the classic emphasis is on n (moles), but mass can be used when the molar mass is known, making the relation consistent for a specified mass. If someone interpreted the law as depending only on 'mass' without conversion to moles, that would be a misconception; however, with the correct conversion, the statement is correct.

In summary, the ideal gas law relates P, V, and T for a given amount of gas, and a fixed mass corresponds to a fixed amount of substance via n = m/M, so the statement is true.

CLMTGR5001_002_2025_3 - Dynamics of Climate Variability and Chan PRACTICE QUIZ: Week 3 Lecture 2.1

Ideal gas law is an equation of state that relates the pressure, volume and temperature for a given mass of an ideal gas.

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