question_answer 1)
If a cylinder containing a gas at high pressure explodes, the gas undergoes [MP PET/PMT 1988]
A)
Reversible adiabatic change and fall of temperature done
clear
B)
Reversible adiabatic change and rise of temperature done
clear
C)
Irreversible adiabatic change and fall of temperature done
clear
D)
Irreversible adiabatic change and rise of temperature done
clear
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question_answer 2)
The work done in an adiabatic change in a gas depends only on [CPMT 1971; MP PMT 2004]
A)
Change is pressure done
clear
B)
Change is volume done
clear
C)
Change in temperature done
clear
D)
None of the above done
clear
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question_answer 3)
In adiabatic expansion [DPMT 1999]
A)
\[\Delta U=0\] done
clear
B)
\[\Delta U=\]negative done
clear
C)
\[\Delta U=\]positive done
clear
D)
\[\Delta W=\]zero done
clear
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question_answer 4)
The pressure in the tyre of a car is four times the atmospheric pressure at 300 K. If this tyre suddenly bursts, its new temperature will be \[(\gamma =1.4)\] [RPMT 1996; MP PMT 1990]
A)
\[300\,{{(4)}^{1.4/0.4}}\] done
clear
B)
\[300\,{{\left( \frac{1}{4} \right)}^{-0.4/1.4}}\] done
clear
C)
\[300\,{{(2)}^{-0.4/1.4}}\] done
clear
D)
\[300\,{{(4)}^{-0.4/1.4}}\] done
clear
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question_answer 5)
A gas at NTP is suddenly compressed to one-fourth of its original volume. If \[\gamma \] is supposed to be \[\frac{3}{2}\], then the final pressure is [BHU 1995]
A)
4 atmosphere done
clear
B)
\[\frac{3}{2}\] atmosphere done
clear
C)
8 atmosphere done
clear
D)
\[\frac{1}{4}\] atmosphere done
clear
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question_answer 6)
A monoatomic gas \[(\gamma =5/3)\] is suddenly compressed to \[\frac{1}{8}\] of its original volume adiabatically, then the pressure of the gas will change to [CPMT 1976, 83; MP PMT 1994; DPMT 1996; Roorkee 2000; KCET 2000; Pb. PMT 1999, 2001]
A)
\[\frac{24}{5}\] done
clear
B)
8 done
clear
C)
\[\frac{40}{3}\] done
clear
D)
32 times its initial pressure done
clear
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question_answer 7)
The pressure and density of a diatomic gas \[(\gamma =7/5)\] change adiabatically from (P, d) to (P', d'). If \[\frac{d'}{d}=32\], then \[\frac{P'}{P}\] should be [CPMT 1982; EAMCET 2001]
A)
1/128 done
clear
B)
32 done
clear
C)
128 done
clear
D)
None of the above done
clear
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question_answer 8)
An ideal gas at \[{{27}^{o}}C\] is compressed adiabatically to \[\frac{8}{27}\] of its original volume. If \[\gamma =\frac{5}{3}\], then the rise in temperature is [CPMT 1984; CBSE PMT 1999; DPMT 2000; BHU 2001; Pb. PET 2001; UPSEAT 2002, 03; KCET 2003;]
A)
450 K done
clear
B)
375 K done
clear
C)
225 K done
clear
D)
405 K done
clear
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question_answer 9)
Two identical samples of a gas are allowed to expand (i) isothermally (ii) adiabatically. Work done is [MNR 1998]
A)
More in the isothermal process done
clear
B)
More in the adiabatic process done
clear
C)
Neither of them done
clear
D)
Equal in both processes done
clear
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question_answer 10)
Which is the correct statement [MP PMT 1993]
A)
For an isothermal change PV = constant done
clear
B)
In an isothermal process the change in internal energy must be equal to the work done done
clear
C)
For an adiabatic change \[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{V}_{2}}}{{{V}_{1}}} \right)}^{\gamma }}\], where \[\gamma \] is the ratio of specific heats done
clear
D)
In an adiabatic process work done must be equal to the heat entering the system done
clear
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question_answer 11)
The slopes of isothermal and adiabatic curves are related as [CPMT 1971; BHU 1996; MH CET 1999; UPSEAT 2000; RPET 2003]
A)
Isothermal curve slope = adiabatic curve slope done
clear
B)
Isothermal curve slope = \[\gamma \times \] adiabatic curve slope done
clear
C)
Adiabatic curve slope = \[\gamma \times \] isothermal curve slope done
clear
D)
Adiabatic curve slope = \[\frac{1}{2}\times \]isothermal curve slope done
clear
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question_answer 12)
Pressure-temperature relationship for an ideal gas undergoing adiabatic change is \[(\gamma ={{C}_{p}}/{{C}_{v}})\] [CPMT 1992; MP PMT 1986, 87, 94, 97; Pb. PET 1998; DCE 2001; MP PET 2001; UPSEAT 1999, 2001; AFMC 2002]
A)
\[P{{T}^{\gamma }}=\] constant done
clear
B)
\[P{{T}^{-1+\gamma }}=\]constant done
clear
C)
\[{{P}^{\gamma -1}}{{T}^{\gamma }}=\]constant done
clear
D)
\[{{P}^{1-\gamma }}{{T}^{\gamma }}=\]constant done
clear
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question_answer 13)
The amount of work done in an adiabatic expansion from temperature T to \[{{T}_{1}}\] is [MP PMT 1989]
A)
\[R(T-{{T}_{1}})\] done
clear
B)
\[\frac{R}{\gamma -1}(T-{{T}_{1}})\] done
clear
C)
RT done
clear
D)
\[R(T-{{T}_{1}})(\gamma -1)\] done
clear
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question_answer 14)
During the adiabatic expansion of 2 moles of a gas, the internal energy of the gas is found to decrease by 2 joules, the work done during the process on the gas will be equal to [CPMT 1988]
A)
1 J done
clear
B)
\[-1\ J\] done
clear
C)
2 J done
clear
D)
? 2 J done
clear
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question_answer 15)
The adiabatic elasticity of hydrogen gas \[(\gamma =1.4)\] at NTP is [MP PMT 1990]
A)
\[1\times {{10}^{5}}\ N/{{m}^{2}}\] done
clear
B)
\[1\times {{10}^{-8}}\ N/m2\] done
clear
C)
\[1.4\ N/{{m}^{2}}\] done
clear
D)
\[1.4\times {{10}^{5}}N/{{m}^{2}}\] done
clear
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question_answer 16)
If \[\gamma \] denotes the ratio of two specific heats of a gas, the ratio of slopes of adiabatic and isothermal PV curves at their point of intersection is [NCERT 1990; MH CET 1999; MP PMT 2000]
A)
\[1/\gamma \] done
clear
B)
\[\gamma \] done
clear
C)
\[\gamma -1\] done
clear
D)
\[\gamma +1\] done
clear
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question_answer 17)
Air in a cylinder is suddenly compressed by a piston, which is then maintained at the same position. With the passage of time [NCERT 1971; DPMT 1995; JIPMER 1997; KCET 2000; AIIMS 2000; MH CET 2001]
A)
The pressure decreases done
clear
B)
The pressure increases done
clear
C)
The pressure remains the same done
clear
D)
The pressure may increase or decrease depending upon the nature of the gas done
clear
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question_answer 18)
When a gas expands adiabatically [CPMT 1990]
A)
No energy is required for expansion done
clear
B)
Energy is required and it comes from the wall of the container of the gas done
clear
C)
Internal energy of the gas is used in doing work done
clear
D)
Law of conservation of energy does not hold done
clear
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question_answer 19)
One gm mol of a diatomic gas \[(\gamma =1.4)\] is compressed adiabatically so that its temperature rises from \[{{27}^{o}}C\] to \[{{127}^{o}}C\]. The work done will be
A)
2077.5 joules done
clear
B)
207.5 joules done
clear
C)
207.5 ergs done
clear
D)
None of the above done
clear
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question_answer 20)
Compressed air in the tube of a wheel of a cycle at normal temperature suddenly starts coming out from a puncture. The air inside [NCERT 1970]
A)
Starts becoming hotter done
clear
B)
Remains at the same temperature done
clear
C)
Starts becoming cooler done
clear
D)
May become hotter or cooler depending upon the amount of water vapour present done
clear
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question_answer 21)
The adiabatic Bulk modulus of a perfect gas at pressure is given by [CPMT 1982; MH CET 2001]
A)
P done
clear
B)
\[2P\] done
clear
C)
\[P/2\] done
clear
D)
\[\gamma P\] done
clear
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question_answer 22)
An adiabatic process occurs at constant [MNR 1985; AFMC 1996; AIIMS 1999; UPSEAT 1999, 2000; Pb. PET 2004]
A)
Temperature done
clear
B)
Pressure done
clear
C)
Heat done
clear
D)
Temperature and pressure done
clear
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question_answer 23)
A polyatomic gas \[\left( \gamma =\frac{4}{3} \right)\] is compressed to \[\frac{1}{8}\] of its volume adiabatically. If its initial pressure is \[{{P}_{o}}\], its new pressure will be [MP PET 1994; BHU 1995]
A)
\[8{{P}_{o}}\] done
clear
B)
\[16{{P}_{0}}\] done
clear
C)
\[6{{P}_{o}}\] done
clear
D)
\[2{{P}_{o}}\] done
clear
View Solution play_arrow
question_answer 24)
For adiabatic processes \[\left( \gamma =\frac{{{C}_{p}}}{{{C}_{v}}} \right)\] [KCET 1999; MP PET 1995; CPMT 2003]
A)
\[{{P}^{\gamma }}V\] = constant done
clear
B)
\[{{T}^{\gamma }}V\]= constant done
clear
C)
\[T{{V}^{\gamma -1}}\] =constant done
clear
D)
\[T{{V}^{\gamma }}\] = constant done
clear
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question_answer 25)
An ideal gas is expanded adiabatically at an initial temperature of 300 K so that its volume is doubled. The final temperature of the hydrogen gas is \[(\gamma =1.40)\] [MP PMT 1995; DPMT 1999]
A)
227.36 K done
clear
B)
500.30 K done
clear
C)
454.76 K done
clear
D)
\[-{{47}^{o}}C\] done
clear
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question_answer 26)
A given system undergoes a change in which the work done by the system equals the decrease in its internal energy. The system must have undergone an [Haryana CEE 1996; UPSEAT 2003]
A)
Isothermal change done
clear
B)
Adiabatic change done
clear
C)
Isobaric change done
clear
D)
Isochoric change done
clear
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question_answer 27)
During the adiabatic expansion of 2 moles of a gas, the internal energy was found to have decreased by 100 J. The work done by the gas in this process is [MP PET 1996, 97]
A)
Zero done
clear
B)
?100 J done
clear
C)
200 J done
clear
D)
100 J done
clear
View Solution play_arrow
question_answer 28)
In an adiabatic expansion of a gas initial and final temperatures are\[{{T}_{1}}\] and \[{{T}_{2}}\] respectively, then the change in internal energy of the gas is [MP PET 1997]
A)
\[\frac{R}{\gamma -1}({{T}_{2}}-{{T}_{1}})\] done
clear
B)
\[\frac{R}{\gamma -1}({{T}_{1}}-{{T}_{2}})\] done
clear
C)
\[R({{T}_{1}}-{{T}_{2}})\] done
clear
D)
Zero done
clear
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question_answer 29)
Helium at \[{{27}^{o}}C\] has a volume of 8 litres. It is suddenly compressed to a volume of 1 litre. The temperature of the gas will be \[[\gamma =5/3]\] [CBSE PMT 1993; MP PMT 1999; Pb. PMT 2002]
A)
\[{{108}^{o}}C\] done
clear
B)
\[{{9327}^{o}}C\] done
clear
C)
\[{{1200}^{o}}C\] done
clear
D)
\[{{927}^{o}}C\] done
clear
View Solution play_arrow
question_answer 30)
A cycle tyre bursts suddenly. This represents an [SCRA 1994]
A)
Isothermal process done
clear
B)
Isobaric process done
clear
C)
Isochoric process done
clear
D)
Adiabatic process done
clear
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question_answer 31)
One mole of helium is adiabatically expanded from its initial state \[({{P}_{i}},{{V}_{i}},{{T}_{i}})\] to its final state \[({{P}_{f}},{{V}_{f}},{{T}_{f}})\]. The decrease in the internal energy associated with this expansion is equal to [SCRA 1994; BHU 2002]
A)
\[{{C}_{V}}({{T}_{i}}-{{T}_{f}})\] done
clear
B)
\[{{C}_{P}}({{T}_{i}}-{{T}_{f}})\] done
clear
C)
\[\frac{1}{2}({{C}_{P}}+{{C}_{V}})(Ti-{{T}_{f}})\] done
clear
D)
\[({{C}_{P}}-{{C}_{V}})({{T}_{i}}-{{T}_{f}})\] done
clear
View Solution play_arrow
question_answer 32)
At N.T.P. one mole of diatomic gas is compressed adiabatically to half of its volume\[\gamma =1.41\]. The work done on gas will be [RPET 1997]
A)
1280 J done
clear
B)
1610 J done
clear
C)
1815 J done
clear
D)
2025 J done
clear
View Solution play_arrow
question_answer 33)
For adiabatic process, wrong statement is [RPMT 1997]
A)
\[dQ=0\] done
clear
B)
\[dU=-dW\] done
clear
C)
Q = constant done
clear
D)
Entropy is not constant done
clear
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question_answer 34)
A diatomic gas initially at 18°C is compressed adiabatically to one-eighth of its original volume. The temperature after compression will be [Pb. PET 1995; CBSE PMT 1996; CPMT 1999]
A)
\[{{10}^{o}}C\] done
clear
B)
\[{{887}^{o}}C\] done
clear
C)
\[668K\] done
clear
D)
\[{{144}^{o}}C\] done
clear
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question_answer 35)
A gas is being compressed adiabatically. The specific heat of the gas during compression is [SCRA 1996]
A)
Zero done
clear
B)
Infinite done
clear
C)
Finite but non-zero done
clear
D)
Undefined done
clear
View Solution play_arrow
question_answer 36)
The process in which no heat enters or leaves the system is termed as [Pb. PET 1996; BHU 1998; BCECE 2003]
A)
Isochoric done
clear
B)
Isobaric done
clear
C)
Isothermal done
clear
D)
Adiabatic done
clear
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question_answer 37)
Two moles of an ideal monoatomic gas at \[{{27}^{o}}C\] occupies a volume of V. If the gas is expanded adiabatically to the volume \[2V,\] then the work done by the gas will be \[[\gamma =5/3,\,R=8.31J/mol\,K]\] [RPET 1999]
A)
\[-2767.23J\] done
clear
B)
\[2767.23J\] done
clear
C)
\[2500J\] done
clear
D)
\[-2500J\] done
clear
View Solution play_arrow
question_answer 38)
At \[{{27}^{o}}C\] a gas is suddenly compressed such that its pressure becomes \[\frac{1}{8}th\] of original pressure. Temperature of the gas will be \[(\gamma =5/3)\] [BHU 2000]
A)
420K done
clear
B)
\[{{327}^{o}}C\] done
clear
C)
\[300K\] done
clear
D)
\[-{{142}^{o}}C\] done
clear
View Solution play_arrow
question_answer 39)
\[\Delta U+\Delta W=0\] is valid for [RPMT 2000]
A)
Adiabatic process done
clear
B)
Isothermal process done
clear
C)
Isobaric process done
clear
D)
Isochoric process done
clear
View Solution play_arrow
question_answer 40)
An ideal gas at a pressures of 1 atmosphere and temperature of \[{{27}^{o}}C\] is compressed adiabatically until its pressure becomes 8 times the initial pressure, then the final temperature is (g = 3/2) [EAMCET (Engg.)2000]
A)
\[{{627}^{o}}C\] done
clear
B)
\[{{527}^{o}}C\] done
clear
C)
\[{{427}^{o}}C\] done
clear
D)
\[{{327}^{o}}C\] done
clear
View Solution play_arrow
question_answer 41)
Air is filled in a motor tube at \[{{27}^{o}}C\] and at a pressure of \[8\] atmospheres. The tube suddenly bursts, then temperature of air is \[[\text{Given}\,\,\gamma \,\text{of}\,\text{air}=\,1.5]\] [MP PMT 2002]
A)
\[{{27.5}^{o}}C\] done
clear
B)
\[{{75}^{o}}K\] done
clear
C)
\[150\,K\] done
clear
D)
\[{{150}^{o}}C\] done
clear
View Solution play_arrow
question_answer 42)
If \[\gamma =2.5\] and volume is equal to \[\frac{1}{8}\] times to the initial volume then pressure P' is equal to (Initial pressure = P) [RPET 2003]
A)
\[P'=P\] done
clear
B)
\[P'=2P\] done
clear
C)
\[P'=P\times {{(2)}^{15/2}}\] done
clear
D)
\[P'=7P\] done
clear
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question_answer 43)
In an adiabatic process, the state of a gas is changed from \[{{P}_{1}},{{V}_{1}},{{T}_{1}},\] to \[{{P}_{2}},{{V}_{2}},{{T}_{2}}\]. Which of the following relation is correct [Orissa JEE 2003]
A)
\[{{T}_{1}}{{V}_{1}}^{\gamma -1}={{T}_{2}}{{V}_{2}}^{\gamma -1}\] done
clear
B)
\[{{P}_{1}}{{V}_{1}}^{\gamma -1}={{P}_{2}}{{V}_{2}}^{\gamma -1}\] done
clear
C)
\[{{T}_{1}}{{P}_{1}}^{\gamma }={{T}_{2}}{{P}_{2}}^{\gamma }\] done
clear
D)
\[{{T}_{1}}{{V}_{1}}^{\gamma }={{T}_{2}}{{V}_{2}}^{\gamma }\] done
clear
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question_answer 44)
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio \[{{C}_{p}}/{{C}_{v}}\] for the gas is [AIEEE 2003]
A)
\[\frac{3}{2}\] done
clear
B)
\[\frac{4}{3}\] done
clear
C)
2 done
clear
D)
\[\frac{5}{3}\] done
clear
View Solution play_arrow
question_answer 45)
In adiabatic expansion of a gas [BCECE 2001; MP PET 2003]
A)
Its pressure increases done
clear
B)
Its temperature falls done
clear
C)
Its density increases done
clear
D)
Its thermal energy increases done
clear
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question_answer 46)
One mole of an ideal gas at an initial temperature of T K does 6 R joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, the final temperature of gas will be [CBSE PMT 2004]
A)
\[(T+2.4)\,K\] done
clear
B)
\[(T-2.4)\,K\] done
clear
C)
\[(T+4)\,K\] done
clear
D)
\[(T-4)\,K\] done
clear
View Solution play_arrow
question_answer 47)
A gas is suddenly compressed to 1/4 th of its original volume at normal temperature. The increase in its temperature is \[(\gamma =1.5)\] [DCE 2004]
A)
273 K done
clear
B)
573 K done
clear
C)
373 K done
clear
D)
473 K done
clear
View Solution play_arrow
question_answer 48)
A gas (\[\gamma =1.3)\] is enclosed in an insulated vessel fitted with insulating piston at a pressure of \[{{10}^{5}}\,N/{{m}^{2}}\]. On suddenly pressing the piston the volume is reduced to half the initial volume. The final pressure of the gas is [RPET 2002]
A)
\[{{2}^{0.7}}\times {{10}^{5}}\] done
clear
B)
\[{{2}^{1.3}}\times {{10}^{5}}\] done
clear
C)
\[{{2}^{1.4}}\times {{10}^{5}}\] done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 49)
The internal energy of the gas increases In [MP PMT 1989; RPMT 2001]
A)
Adiabatic expansion done
clear
B)
Adiabatic compression done
clear
C)
Isothermal expansion done
clear
D)
Isothermal compression done
clear
View Solution play_arrow
question_answer 50)
We consider a thermodynamic system. If \[\Delta U\]represents the increase in its internal energy and W the work done by the system, which of the following statements is true [CBSE PMT 1998]
A)
\[\Delta U=-W\] in an adiabatic process done
clear
B)
\[\Delta U=W\]in an isothermal process done
clear
C)
\[\Delta U=-W\]in an isothermal process done
clear
D)
\[\Delta U=W\]in an adiabatic process done
clear
View Solution play_arrow
question_answer 51)
A gas is suddenly compressed to one fourth of its original volume. What will be its final pressure, if its initial pressure is P [Pb. PET 2002]
A)
Lesss than P done
clear
B)
More than P done
clear
C)
P done
clear
D)
Either (a) or (c) done
clear
View Solution play_arrow
question_answer 52)
A gas for which \[\gamma =1.5\]is suddenly compressed to\[\frac{1}{4}\]th of the initial volume. Then the ratio of the final to the initial pressure is [EAMCET 2001]
A)
1 : 16 done
clear
B)
1 : 8 done
clear
C)
1 : 4 done
clear
D)
8 : 1 done
clear
View Solution play_arrow
question_answer 53)
One mole of an ideal gas with \[\gamma =1.4\], is adiabatically compressed so that its temperature rises from 27°C to 35°C. The change in the internal energy of the gas is \[(R=8.3\,J/mol.K)\] [EAMCET 2001]
A)
?166 J done
clear
B)
166 J done
clear
C)
?168 J done
clear
D)
168 J done
clear
View Solution play_arrow
question_answer 54)
The volume of a gas is reduced adiabatically to \[\frac{1}{4}\] of its volume at 27°C, if the value of \[\gamma =1.4,\] then the new temperature will be [DPMT 2000]
A)
\[350\times {{4}^{0.4}}K\] done
clear
B)
\[300\times {{4}^{0.4}}\]K done
clear
C)
\[150\times {{4}^{0.4}}\]K done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 55)
During an adiabatic expansion of 2 moles of a gas, the change in internal energy was found ?50J. The work done during the process is [Pb. PET 1996]
A)
Zero done
clear
B)
100J done
clear
C)
? 50J done
clear
D)
50J done
clear
View Solution play_arrow
question_answer 56)
Adiabatic modulus of elasticity of a gas is \[2.1\times {{10}^{5}}N/{{m}^{2}}.\] What will be its isothermal modulus of elasticity \[\left( \frac{{{C}_{p}}}{{{C}_{v}}}=1.4 \right)\] [UPSEAT 1999]
A)
\[1.8\times {{10}^{5}}N/{{m}^{2}}\] done
clear
B)
\[1.5\times {{10}^{5}}N/{{m}^{2}}\] done
clear
C)
\[1.4\times {{10}^{5}}N/{{m}^{2}}\] done
clear
D)
\[1.2\times {{10}^{5}}N/{{m}^{2}}\] done
clear
View Solution play_arrow
question_answer 57)
For an adiabatic expansion of a perfect gas, the value of \[\frac{\Delta P}{P}\] is equal to [CPMT 1983; MP PMT 1990]
A)
\[-\sqrt{\gamma }\frac{\Delta V}{V}\] done
clear
B)
\[-\frac{\Delta V}{V}\] done
clear
C)
\[-\gamma \frac{\Delta V}{V}\] done
clear
D)
\[-{{\gamma }^{2}}\frac{\Delta V}{V}\] done
clear
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