If p is the pressure, V the volume, R the gas constant, k the Boltzmann constant and T the absolute temperature, then the number of molecules in the given mass of the gas is given

Question

If p is the pressure, V the volume, R the gas constant, k the Boltzmann constant and T the absolute temperature, then the number of molecules in the given mass of the gas is given (A) (pV/RT) (B) (pV/kT) (C) (pR/T) (D) pV

Tardigrade Admin · Accepted Answer

From ideaI gas equation pV = nkT where k is Boltzmann's constant. p is pressure, V is volume and T is absolute temperature. Hence, number of molecules in given mass of gas n = (pV/kT)

Q. If p is the pressure, $V$ the volume, $R$ the gas constant, $k$ the Boltzmann constant and $T$ the absolute temperature, then the number of molecules in the given mass of the gas is given

$\frac{p V}{RT}$

$\frac{p V}{k T}$

$\frac{pR}{T}$

pV

From ideaI gas equation
pV = nkT
where k is Boltzmann's constant. p is pressure, V is volume and T is absolute temperature.
Hence, number of molecules in given mass of gas
$n = \frac{p V}{k T}$

Q. If p is the pressure, V the volume, R the gas constant, k the Boltzmann constant and T the absolute temperature, then the number of molecules in the given mass of the gas is given

RTpV​

kTpV​

TpR​

pV

From ideaI gas equation pV = nkT where k is Boltzmann's constant. p is pressure, V is volume and T is absolute temperature. Hence, number of molecules in given mass of gas n=kTpV​

Q. If p is the pressure, $V$ the volume, $R$ the gas constant, $k$ the Boltzmann constant and $T$ the absolute temperature, then the number of molecules in the given mass of the gas is given

$\frac{p V}{RT}$

$\frac{p V}{k T}$

$\frac{pR}{T}$

From ideaI gas equation
pV = nkT
where k is Boltzmann's constant. p is pressure, V is volume and T is absolute temperature.
Hence, number of molecules in given mass of gas
$n = \frac{p V}{k T}$