Mass of gas is 300 gm and its specific heat at constant volume is 750J/kg K. if gas is heated through 75°C at constant pressure of 105 N/m2, it expands by volume 0.08 × 106 cm3. find CP/CV.
1.4
1.374
1.474
1.5
At what temperature, the rms speed of gas molecules I half the value at NTP?
68.25 K
273 K
345 K
0 K
The r.m.s. speed of the molecules of a gas in a vessel is 200 m/s. if 25% of the gas leaks out of the vessel, at constant temperature, then the r.m.s. speed of the remaining molecules will be
400 m/s
150 m/s
100 m/s
200 m/s
For hydrogen gas CP – CV = a, and for oxygen gas CP – CV = b, so that relation between a and b given by
a = 16 b
16 a = b
a = b
a = 4 b
A gas expands adiabatically at constant pressure such that its temperature T ∝ 1/. The value of CP/CV of the gas is
1.30
1.50
1.67
2.00
A wall is hit elastically and normally by n balls per second, all the balls have the same mass m and are moving with the same velocity u. the force exerted by the balls on the wall is
mnu2
2 mnu2
2 mnu
The temperature at which the r.m.s. velocity of H2 becomes escape velocity from the earth is,
10059 °C
10059 K
10332 °C
10332 K
The root mean square speed of hydrogen molecules at 300 K is 1930 m/s. then the root mean square speed of oxygen molecules at 900 K will be
1930m/s
836 m/s
643 m/s
m/s
A molecule of mass m moving with a velocity v makes 5 elastic collisions with a wall of the container per second. The change in its momentum per second will be
mv
5 mv
10 mv
.
Speed of 3 molecules of a gas are 3 m/s, 4 m/s and 5 m/s. R.m.s. speed of these molecule is,
4.8 m/s
4.08 m/s
4.5 m/s
4 m/s
What is the true for 3 moles of a gas?
3 (CP – CV) = R
CP – CV = R
CP – 3CV = R
K.E. per unit volume is given by
None of these
The pressure exerted in terms of total kinetic energy per unit volume (E) is
3/2 E
E
2/3 E
E
At what temperature, the r.m.s. speed of the molecules of a gas is half its value at NTP?
0 K
273 K
150 K
68.25 K
The difference between the principal specific heats of nitrogen is 300 J/kg-K and ratio of the two specific heats is 1.4 then
CP = 1050 J/kg-K
CP = 750 J/kg-K
CP = 650 J/kg-K
CP = 150 J/kg-K
Calculate the RMS velocity of molecules of a gas of which the ratio of two specific heats is 1.42 and velocity of sound in the gas is 500 m/s
727 m/s
527 m/s
927 m/s
750 m/s
PV/3 = RT, V represents volume of
Any amount of gas
2 moles of gas
3 moles of gas
4 moles of gas
Energy supplied to convert unit mass of substance from solid to liquid state at its melting point is called
Latent heat of fusion
Evaporation
Solidification
Latent heat of fission
If 2 kcal, of heat is supplied to a system cause to change the internal energy of a gas is 5030J, and external work done is 3350 J, then what is mechanical equivalent of heat?
41.90 J/kcal
4190 J/cal
4.19 J/kcal
4.19 J/cal
The average kinetic energy of the molecules of a gas at 27°C is 9 × 10–20 J. what is its average K.E. at 227°C?
5 × 10–20 J
10 × 10–20 J
15 × 10–20 J
20 × 10–20 J
For a gas, the r.m.s. speed at 800K is
Half the value at 200 K
Same as at 200 K
Double the value at 200 K
Four times the value at 200 K
The internal energy of one mole of an ideal gas depend upon
Volume of gas
Temperature of gas
Nature of gas
Density of gas
The root mean square speed of hydrogen molecules at 300K is 1930 m/s. then the root mean square speed of oxygen molecule at 900K will be
1930m/s
838 m/s
643 m/s
Which of the statement is true
R = (γ – 1) CV
R = (γ + 1) CV
CV = R(γ + 1)
If at same temperature and pressure, the densities for two diatomic gases are respectively d1 and d2, then the ratio of velocities of sound in these will be