If density of vapours of a substance of molar mass 18 gm / mole at 1 atm pressure and 500 K is 0.36 kg m^–3 , then value of Z for the vapours is : (Take R = 0.082 L atm mole K^–1)

(1) $\frac{41}{50}$

(2) $\frac{50}{41}$

(3) 1.1

(4) 0.9

A sample of water gas has a composition by volume of 50% H₂, 45% CO and 5% CO₂. Calculate the volume in litre at S.T.P. of water gas which on treatment with excess of stream will produce 5 litre H₂. The equation for the reaction is : CO + H₂O $\stackrel{}{\to }$ CO₂+ H₂

(1) 4.263 Litre

(2) 5.263 Litre

(3) 6.263 Litre

(4) 7.263 Litre

A 2 m long tube closed at one end is lowered vertically into' water until the closed end is flush with the water surface. See figure below. Calculate the water level height in the tube. (Barometric pressure –1 atm =10 m of hydrostatic water head, Temperature = 25°C, Density of, water = 1.00 g/ml. Neglect water vapour pressure).

(1) 1.01 m

(2) 0.29 m

(3) 1.71^–m

(4) 0.92 m

A gas occupied a volume of 250 ml at 700 mm Hg pressure and 25°C. What additional pressure is required to reduce the gas volume to its 4/5^th value at the same temperature

(1) 225 mm Hg

(2) 175 mm Hg

(3) 150 mm Hg

(4) 265 mm Hg

A sealed tube which can withstand a pressure of 3 atmosphere is filled with air at ${27}^{o}C$ and 760 mm pressure. The temperature above which the tube will burst will be

(1) 900°C

(2) 627°C

(3) 726°C

(4) 1173°C

The pressure of 2 moles of an ideal gas at 546 K having volume 44.8 L is

(1) 2 atm

(2) 3 atm

(3) 4 atm

(4) 1 atm

3.2 g of oxygen (At. wt. = 16) and 0.2 g of hydrogen (At. wt. = 1) are placed in a 1.12 litre flask at 0°C. The total pressure of the gas mixture will be [CBSE PMT 1992]

(1) 1 atm

(2) 4 atm

(3) 3 atm

(4) 2 atm

Equal weights of methane and oxygen are mixed in an empty container at 25°C. The fraction of the total pressure exerted by oxygen is 

(1) 1/3

(2) 1/2

(3) 2/3

(4) $1/3\times 273/298$  

The rate of diffusion of methane at a given temperature is twice that of gas X. The molecular weight of X is 

(1) 64.0

(2) 32.0

(3) 4.0

(4) 8.0

The kinetic energy for 14 grams of nitrogen gas at 127°C is nearly (mol. mass of nitrogen = 28 and gas constant = 8.31JK^–1mol^–1) 

(1) 1.0 J

(2) 4.15 J

(3) 2493 J

(4) 3.3 J