MAHARASHTRA BOARD CHEMISTRY CHAP 10 CLASS 11 STATE OF MATTER GAS LAW STOICHIOMETRY solution

A. A balloon is inflated with helium gas at room temperature of 25°C and at I bar pressure when its initial volume is 2.27L and allowed to rise in air. As it rises in the air external pressure decreases and the volume of the gas increases till finally it bursts when external pressure is 0.3bar. What is the limit at which volume of the balloon can stay inflated ? (Ans:7.567L) 

B. A syringe has a volume of 10.0 cm' at pressure 1 atm. If you plug the end so that no gas con escape and push the plunger down, what must be the final volume to change the pressure to 3.5 atm? (Ans:2 9 cm')

C. The volume of a given mass of a gas at 0°C is 2 dm'. Calculate the new volume of the gas at constant pressure when
 a. The temperature is increased by 10°C. (Ans: 2.07 drn')
 b.The temperature is decreased by10°C. (Ans:I.93 dm') 

D. A hot air balloon has a volume of 2800 m' at 99° C. What is the volume if the air cools to 80° C? 

E. At 0°C, a gas occupies 22.4 liters. How nuch hot must be the gas in celsius and in kelvin to reach volume of 25.0 literes? (Ans:3I.7 °C/304.9 K)

F. A 20 L container holds 0.650 mol of He gas at 37°C at a pressure of 628.3 bar. What will be new pressure inside the container if the volume is reduced to 12 L. The temperature is increased to 177 °C and 1.25 mol of additional He gas was added to it? (Ans:4443 bar/5.85atm) 

g. Nitrogen gas is tilled in a container of volume 2.32 L at 32°C and 4.7 arm pressure. Calculate the number of moles of the gas. (Ans:0.436 moles) 

h At 25 °C and 760 mm of Hg pressure a gas occupies 600 mL volume. What will be its pressure at the height where 1 temperature is 10 °C and volume of the gas 640 mi. ? (Am : 676.6 mm Hg) 

i A neon-dioxygen mixture contains 70.6 g dioxygen and I67.58 neon.lf pressure of the mixture of the gases in the cylinder is 25 bar. What is the partial pressure of dioxygen and neon in the mixture? (Ans:p0.- 5.25 bar, ps;-I9.75 bar) 

j Calculate the pressure in atm of 1.0 mole of helium in a 2.0 dm' container at 20.0°C. (Ans:12.02 atm)

 
k Calculate the volume of I mole of a gas at exactly 20 °C at a pressure of 101.35 kPo. (Ans: 24.055 dm')

l Calculate the number of molecules of methane in 0.50 m' of the gas at a pressure of 2.0x102kPa and a temperature of exactly 300 K. (Ans: 2.4.102) 411)