If c is r.m.s. speed of molecules in a gas and v is the speed of sound wave in the gas , show that c/v is constant and independent of temperature for all diatomic gases.

Fill in the blanks: The r.m.s. sped of a molecules of a gas is……………

If the mass of all molecules of a gas are halved and their speeds doubled then the ratio of initial and final pressure will be

Fill in the blanks: The r.m.s. speed of a molecule of a gas is ……….its average speed.

The rms speed of the molecules of a gas in a vessel Is 400 ms^-1 . If half of the gas leaks out at constant temperatuare, the rms speed of the remaining molecules will be

The rms speed of N_(2) molecules in a gas in u . If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atom, the rms speed becomes

Use the formula v = sqrt((gammaP)/P) to explain why the speed of sound in air: is independent of pressure.

State whether the following statements are true or false gving reason in brief: The r.m.s. speed of oygen molecules (O_2) at a certain temperature TK is v. If the temperature is double and oxygen gas dissociates into atomic oxygen, the r.m.s. speed remains unchanged.