EASY
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Pressure versus temperature graph of an ideal gas at constant volume V is shown by the straight line A. Now mass of the gas is doubled and volume is halved, then the corresponding pressure versus temperature graph will be shown by the line.

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Important Questions on Thermal Properties of Matter

MEDIUM
An ideal gas filled in a cylinder occupies volume, V. The gas is compressed isothermally to the volume, V3. Now the cylinder valve is opened and the gas is allowed to leak keeping the temperature the same. What percentage of the number of molecules escape to bring the pressure in the cylinder back to its original value.
MEDIUM
A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above piston is l1, and that below the piston is l2, such that l1>l2. Each part of the cylinder contains n moles of an ideal gas at equal temperature T. If the piston is stationary, its mass m will be given by:
(R is universal gas constant and g is the acceleration due to gravity)
EASY
 The temperature of an open room of volume 30 m3 increases from 17°C to 27°C due to the sunshine. The atmospheric pressure in the room remains 1×105 Pa. If ni and nf are the number of molecules in the room before and after heating, then nf-ni will be:
HARD

A long cylindrical pipe of radius 20 cm is closed at its upper end and has an airtight piston of negligible mass as shown. When a 50 kg mass is attached to the other end of piston, it moves down by a distance, Δl before coming to equilibrium. Assuming air to be an ideal gas, Δll (see figure) is close to g=10 m s-2, one atmospheric pressure is 105 Pa ),

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HARD
A certain liquid has a melting point of -50°C and a boiling point of 150°C. A thermometer is designed with this liquid and its melting and boiling points are designated at 0°L and 100°L. The melting and boiling points of water on this scale are
 
HARD
Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their densities is 
EASY
A given sample of an ideal gas occupies a volume, V at a pressure, P and absolute temperature, T. The mass of each molecule of the gas is m . Which of the following gives the density of the gas?
MEDIUM

An ideal gas undergoes a circular cycle centred at 4 atm, 4 L as shown in the diagram.

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The maximum temperature attained in this process is close to

EASY
At what temperature do the Fahrenheit and Celcius scales of temperature coincide?
MEDIUM
A thin paper cup filled with water does not catch fire when placed over a flame. This is because
MEDIUM
Solar energy is incident normally on the earth's surface at the rate of about 1.4 kW m-2 . The distance between the earth and the sun is 1.5×1011 m . Energy E and mass m are related by the Einstein equation, E=mc2 where c=3×108 m s-1 is the speed of light in free space. The decrease in the mass of the sun is
EASY
For the P-V diagram given for an ideal gas
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 Out of the following which one correctly represents the T-P diagram?
EASY
A cylinder closed at both ends is separated into two equal parts (45 cm each) by a piston impermeable to heat. Both the parts contain the same masses of gas at a temperature of 300 K and a pressure of 1 atm. If now the gas in one of the parts is heated such that the piston shifts by 5 cm, then the temperature and the pressure of the gas in this part after heating is 
MEDIUM
The average distance between molecules of an ideal gas at STP is approximately of the order of
EASY
Modern vacuum pumps can evacuate a vessel down to a pressure of 4.0 × 1 0 - 1 5  atm. at room temperature (300 K). Taking R = 8.3 JK-1  mole-1, 1 atm = 105 Pa and N Avogadro = 6 × 1 0 2 3 mole - 1 , the mean distance between molecules of gas in an evacuated vessel will be of the order of :
EASY
The state of an ideal gas was changed isobarically. The graph depicts three such isobaric lines. Which of the following is true about the pressures of the gas?
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EASY
Mercury is often used in clinical thermometers. Which one of the following properties of mercury is not a reason for this?
EASY
Ice is used in a cooler in order to cool its contents. Which of the following will speed up the cooling process?