Thermal Properties Of Matter

Q: 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?

Hint: Use ideal gas equation.Step 1: Note the given valuesVolume =VPressure =PTemperature =TMass of each molecule =mStep 2: Calculate density of gas using ideal gas equation .From the ideal gas law,\\(PV=NkT\\)\\(\implies \dfrac{N}{V}=\dfrac{P}{kT}\\)Density of gas= \\(\dfrac {\text{Total mass} }{\text volume}\\)\\(\rho= \dfrac{Nm}{V}=\dfrac{Pm}{kT}\\)\\(\textbf{Hence option C correct}\\)

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?

Thermal Properties Of Matter

Physics 5411 Views

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?

Physics
5411 Views