Question 997: Thermodynamics & KTG

Question

A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas ?

Accepted Answer

As PV = nRT
$$ \Rightarrow n = {{PV} \over {RT}} = {{mass} \over {molar\,mass}}$$   ...(i)
Density, $$\rho $$ = $${{mass} \over {volume}} = {{\left( {molar\,mass} \right)P} \over {RT}} = {{\left( {m{N_A}} \right)P} \over {RT}}$$
[From eqn. (i)]
$$\rho  = {{mP} \over {kT}}$$    $$\left( \because{R = {N_A}k} \right)$$

Answer

P/(kT)

Answer

Pm/(kT)

Answer

P/(KTV)

Answer

mkT

Thermodynamics & KTG

A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas ?

Choose the correct answer: