Question

calculate the kinetic energy of unity volume of the gas at N.T.P

Answer 1

density of gas = 0.178 kg per metre cube at NTP. ... density of mercury = 13.6 *1000 kg per metre cube. NTP - Normal Temperature and Pressure - is defined as air at 20oC (293.15 K, 68oF) and 1 atm ( 101.325 kN/m2, 101.325 kPa, 14.7 psia, 0 psig, 29.92 in Hg, 760 torr).

Answer 2

In order to understand this question better we need to understand unity volume first of all. Unity volume is we have to take the volume of the gas as one volume altogether. Which on other words means one mole.

In this situation the data is insufficient as there is no density of a gas or name of the gas and not even the molar mass of the gas.

For finding kinetic energy , we have require to find out RMS velocity at first.

RMS velocity, v= √{3P/ρ} , here P is the pressure and ρ is the density of gas.

At NTP{ Normal temperature and pressure }

P = 1.013 × 10⁵ N/m² ,

Then, RMS velocity , v = √{3 × 1.013 × 10⁵/ρ}

Now, kinetic energy of gas , KE = 1/2M{RMS velocity }² , here M is molar mass

If we put M and ρ values and find out the Kinetic energy of gas.