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Under standard temperature (T) and pressure (P) conditions, 128 g of an ideal gas molecule A occupies a volume of 1 L. The gas molecule A obeys the relationship RT = 0.25 PV. R and V are universal gas constant and ideal gas volume, respectively. The molecule A is
A
CO<sub>2</sub>
B
H<sub>2</sub>
C
N<sub>2</sub>
D
O<sub>2</sub>
Correct Answer:
O<sub>2</sub>
For 5 moles of an ideal gas, Condition I: Pressure = 1 atm, Volume = 2 L, Temperature = 27 Degree Celsius Condition II: Pressure = P atm, Volume = V L, Temperature = T K. 5. If The Pressure and Volume in the II condition are 2 atm and 4 L, what is the temperature (T) of the gas?
A
300 K
B
600 K
C
900 K
D
1200 K
Bacillus subtilis under ideal conditions occupies 5% of the total volume of a fermenter. Under such conditions; the culture medium (after bacilli are filtered off) has a concentration of 1mg/ml of the secreted protein trehalae
(i) Calculate the volume of culture filtrate required to purify 1 kg of trehalase
(ii) What are the total number of B. subtilis cells which produce this amount of enzyme? Assume that each cell is a cylinder which has dimensions of 1 m diameter and length 2μm.
A
(i) 10<sup>6</sup> ml, (ii) 1.57 × 10<sup>8</sup>
B
(i) 10<sup>8</sup> ml, (ii) 3.16 × 10<sup>18</sup>
C
(i) 10<sup>6</sup> ml, (ii) 1.57 × 10<sup>8</sup>
D
(i) 10<sup>6</sup> ml, (ii) 3.18 × 10<sup>16</sup>
The heat supplied to the gas at constant volume is (where m = Mass of gas, C
v
= Specific heat at constant volume, C
p
= Specific heat at constant pressure, T
2
- T
1
= Rise in temperature and R = Gas constant)
A
mR (T<sub>2</sub> - T<sub>1</sub>)
B
mC<sub>v</sub> (T<sub>2</sub> - T<sub>1</sub>)
C
mC<sub>p</sub> (T<sub>2</sub> - T<sub>1</sub>)
D
None of the above
In wet soil mass, air occupies one-seventh of its volume and Water occupies one- eighth of its volume. What will be the ratio of volume of voids with respect to the total volume?
A
0.329
B
0.279
C
0.432
D
0.286
If a given mass of gas occupies a volume of 10cc at 1 atmospheric pressure and temperature 100°C, what will be its volume at 4 atmospheric pressure, the temperature being the same?
A
100cc
B
400cc
C
104cc
D
2.5cc
At what temperature, given mass of a gas that occupies a volume of 2 litres at N.T.P. will occupy a volume of 4 litres, if the pressure of the gas is kept constant?
A
273°C
B
273°K
C
100°C
D
200°C
The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is called __________ temperature.
A
Boyle
B
Inversion
C
Critical
D
Reduced
The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is called the __________ temperature.
A
Critical
B
Boyle
C
Inversion
D
Reduced
Consider the following statements and choose the correct answer:
1. A direct proportionality exists between vapour pressure and the concentration of water vapour in the atmosphere
2. Relative humidity is an expression of the ratio of the actual vapour pressure of the atmosphere when saturated at the same temperature
3. A rise or fall in temperature with no change in vapour pressure will cause a drop or rise, respectively, in relative humidity
4. A rise or fall in vapour pressure with no change in temperature will be accompanied by a rise or fall, respectively, in relative humidity
A
1, 2, 3 and 4 are true
B
Only 3 and 4 are true
C
Only 2 and 4 are true
D
Only 1, 2 and 3 are true
A sample of ideal gas with initial pressure p and volume V is taken through an isothermal expansion proceed during which the change in entropy is found to be ΔS. The universal gas constant is R. Then the work done by the gas is given by
A
$$\frac{{pV\Delta S}}{{nR}}$$
B
$$nR\Delta S$$
C
$$pV$$
D
$$\frac{{p\Delta S}}{{nRV}}$$