With the help of Avogadro's hypothesis prove that the molar volume of all gases is 22.4 `dm^3` at STP.

State Avogadro's hypothesis. Prove with the help of Avogadro's hypothesis that molar mass of any gases twice its vapour density.

Show that the molar volume of an ideal gas at STP is 22.4 litres. Given R=8.31 Jmol^(-1) K^(-1) .

The mass of 16.4 dm^3 of a gas at STP is 22g. What is the molar mass of the gas?

Prove that 2/3ltlog_10 5<3/4

Prove that log_3 2=log_9 4=log_27 8

Prove that 1/4ltlog_10 2lt1/3

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid is in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and the height of the cone outside the hemisphere is 5 cm, find the volume of water left on the tub. (Use pi = 22/7 )

Represent the cell with cell reaction- Zn(s)+2Ag^+(aq) rarr Zn^(2+) (aq)+2Ag(s) Calculate the emf of the cell at 298K if the molar concentraction of Ag^+ and Zn^(2+) ions in the half cwells are 0.10 mol dm^(-3) and 0.01 mol dm^(-3) respectively. Given that E^@ Ag^+//Ag= 0.80V and E^@Zn^(2+)//Zn=-0.76V,

If 7 sin^2theta + 3 cos^2 theta = 4, then prove that tantheta = 1/sqrt(3)

If tan theta = 3/4 , proved that sin^2 theta+cos^2 theta is 1.