Gas laws and ideal gas equation

48 questions on Gas laws and ideal gas equation from the Gaseous State: Ideal Gases chapter: 12 NEET level, 20 JEE Main, 16 JEE Advanced. Each one opens with its answer and solution.

• A sample of an ideal gas occupies 6.0 L at 2.0 atm. If the pressure is raised to 3.0 atm at constant temperature, the new volume is NEET level
• At constant pressure, 600 mL of an ideal gas at 300 K is heated to 450 K. Its volume becomes NEET level
• For a fixed amount of an ideal gas at constant temperature, which plot is a straight line passing through the origin? NEET level
• A gas at 27 degC and 1 atm is heated so that both its pressure and its volume double. The final temperature is JEE Main level
• An open vessel at 27 degC is heated until two fifths of the air originally present in it has been expelled. Assuming the volume of the vessel is constant, the f... JEE Main level
• The value of the gas constant R in L atm K^-1 mol^-1 is obtained from R = 8.314 J K^-1 mol^-1 using 1 atm = 101325 Pa. The result is closest to JEE Main level
• 8.0 g of O2 (molar mass 32 g mol^-1) is placed in a 4.1 L vessel at 300 K. Taking R = 0.0821 L atm K^-1 mol^-1, the pressure of the gas in atm (two decimals) is JEE Main level
• A 0.50 mol sample of an ideal gas is kept at 273 degC and 2.0 atm. Taking R = 0.0821 L atm K^-1 mol^-1, its volume in litres (two decimals) is JEE Main level
• For a fixed mass of an ideal gas, which of the following statements are correct? JEE Main level
• A 10 L cylinder contains N2 at 27 degC and 10 atm. The valve is opened and the gas escapes until the pressure falls to 4 atm at the same temperature. Taking R =... JEE Advanced level
• A J-shaped tube closed at the short end traps 20 cm of air when the mercury levels in the two limbs are equal and atmospheric pressure is 76 cm Hg. More mercury... JEE Advanced level
• Two bulbs of volumes 1.0 L and 2.0 L are connected by a tube of negligible volume and together contain 0.60 mol of an ideal gas. The smaller bulb is held at 300... JEE Advanced level
• A fixed mass of an ideal gas is taken through the following changes. Which statements are correct? JEE Advanced level
• An ideal gas is contained in a cylinder fitted with a frictionless piston. Which of the following are correct? JEE Advanced level
• The temperature at which the volume of an ideal gas would theoretically become zero on extrapolating a Charles's law plot is NEET level
• Which pair of quantities is held constant in Gay-Lussac's law of gases (P propto T)? NEET level
• A pressure of 1 bar is equal to NEET level
• According to Avogadro's law, equal volumes of all gases at the same temperature and pressure contain NEET level
• A certain mass of a gas occupies 500 mL at 27 degC and 750 mm Hg. Its volume at STP (0 degC, 760 mm Hg) is nearest to JEE Main level
• The number of molecules in 1.12 mL of an ideal gas at STP (molar volume 22.4 L, N_A = 6.02 x 10^23) is JEE Main level
• Two identical flasks at the same temperature contain, respectively, 4 g of H2 and 64 g of O2. Which of the following is true? JEE Main level
• A 5.0 L cylinder contains N2 (molar mass 28) at 300 K and 2.0 atm. Taking R = 0.0821 L atm K^-1 mol^-1, the mass of N2 in grams (one decimal) is JEE Main level
• A sealed rigid container holds an ideal gas at 350 K and 1.0 atm. The temperature in kelvin (nearest integer) at which the pressure becomes 1.5 atm is JEE Main level
• A balloon of volume V contains an ideal gas at 27 degC and 1.2 atm. It rises to a height where the temperature is -23 degC and the pressure is 0.50 atm. The vol... JEE Advanced level
• A vertical cylinder closed at the bottom is fitted with a frictionless piston of negligible mass and traps an ideal gas of column height h at atmospheric pressu... JEE Advanced level
• An ideal gas is kept in a 4.0 L container at 300 K and 3.0 atm. The container has a relief valve that opens whenever the pressure exceeds 3.0 atm. The gas is sl... JEE Advanced level
• A room of volume 30 m^3 contains air (average molar mass 29 g mol^-1) at 300 K and 1.0 atm. Taking R = 0.0821 L atm K^-1 mol^-1, the mass of air in kilograms (o... JEE Advanced level
• The ideal gas equation PV = nRT is applied to 1 mol of a gas. Which statements are correct? JEE Advanced level
• Which of the following graphs for a fixed mass of an ideal gas at constant pressure is a straight line? NEET level
• The SI unit of the gas constant R is NEET level
• A gas cylinder can withstand a maximum pressure of 15 atm. It contains gas at 300 K and 12 atm. The temperature in degC at which the cylinder will burst is JEE Main level
• Two bulbs X (1 L) and Y (3 L) are connected through a stopcock. X contains an ideal gas at 8 atm and Y is evacuated. On opening the stopcock at constant tempera... JEE Main level
• The volume in litres (two decimals) occupied by 11 g of CO2 (molar mass 44) at 273 K and 1.0 atm, taking R = 0.0821 L atm K^-1 mol^-1, is JEE Main level
• Which of the following statements about an ideal gas are correct? JEE Main level
• A capillary tube of uniform bore, sealed at one end, has a 10 cm mercury thread trapping an air column that is 20 cm long when the tube is horizontal. Atmospher... JEE Advanced level
• A 2.0 L sample of an ideal gas at 300 K and 1.0 atm and a 3.0 L sample of the same gas at 400 K and 2.0 atm are transferred together into an evacuated 5.0 L ves... JEE Advanced level
• A sample of an ideal gas is compressed isothermally from 4.0 L to 1.0 L. Which statements are correct? JEE Advanced level
• At STP (0 degC, 1 atm), the volume occupied by 16 g of O2 (molar mass 32), taking the molar volume as 22.4 L, is NEET level
• Which of the following is NOT a correct statement of a gas law? NEET level
• Absolute zero is the temperature at which NEET level
• An ideal gas is heated from 27 degC to 327 degC at constant pressure. The percentage increase in volume is JEE Main level
• Which of the following samples contains the largest number of molecules? JEE Main level
• At constant temperature, a gas at 1.0 atm in a 600 mL vessel is connected to an evacuated vessel; the final pressure is 0.40 atm. The volume of the second vesse... JEE Main level
• The amount of an ideal gas, in millimoles (one decimal), contained in a 2.0 L vessel at 400 K and 1.2 atm is (take R = 0.0821 L atm K^-1 mol^-1) JEE Main level
• A fixed mass of an ideal gas at 27 degC is heated at constant pressure. Which statements are correct? JEE Main level
• An ideal gas at 300 K is contained in a cylinder with a movable piston at 1.0 atm. It is first heated at constant pressure until its volume doubles, then cooled... JEE Advanced level
• Two identical 1.0 L bulbs connected by a narrow tube together contain 0.50 mol of an ideal gas. One bulb is held at 300 K and the other at 600 K. The amount of ... JEE Advanced level
• A gas is enclosed in a cylinder with a weightless, frictionless piston open to the atmosphere (1.0 atm). Which statements are correct? JEE Advanced level