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Q. No.An ideal monoatomic gas at a temperature of \(300\) K and a pressure of \(10\) atm is suddenly allowed to expand into vacuum so that its volume is doubled. No exchange of heat is allowed to take place between the gas and its surroundings during the process. After equilibrium is reached, the final temperature is:
| 1. | \(300\) K | 2. | \(\dfrac{300}{2^{5/3}}\) K |
| 3. | \(\dfrac{300}{2^{2/3}}\) K | 4. | \(600\) K |
Subtopic: Types of Processes |
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A monoatomic gas \((A)\) and a diatomic gas \((B)\) are taken in two separate identical containers at the same conditions of temperature and pressure.
The two gases \(A,B\) are allowed to expand adiabatically until their volumes are doubled. The final temperatures are \(\theta_A\) (for gas \(A\)) and \(\theta_B\) (for gas \(B\)). Then:
The two gases \(A,B\) are allowed to expand adiabatically until their volumes are doubled. The final temperatures are \(\theta_A\) (for gas \(A\)) and \(\theta_B\) (for gas \(B\)). Then:
| 1. | \(\theta_A=\theta_B\) |
| 2. | \(\theta_A<\theta_B\) |
| 3. | \(\theta_A>\theta_B\) |
| 4. | the relationship between \(\theta_A,\theta_B\) depends on the molecular weights of \(A\) and \(B\) |
Subtopic: Types of Processes |
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A gas \((\gamma = 1.5)\) undergoes a process in which its volume is doubled, but the speed of sound in the gas remains unchanged. Then,
| 1. | the pressure is halved |
| 2. | the pressure decreases by a factor of \(2\sqrt 2\) |
| 3. | the temperature is halved |
| 4. | the temperature decreases by a factor of \(2 \sqrt 2\) |
Subtopic: Types of Processes |
50%
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Three different reversible processes involving ideal gases are shown on the volume-pressure diagram. Among the following given choices, one is correct. Which one?
| 1. | \(a-\)isothermal | 2. | \(c-\)isothermal |
| \(b-\)adiabatic, diatomic gas | \(b-\)adiabatic, diatomic gas | ||
| \(c-\)adiabatic, monoatomic gas | \(a-\)adiabatic, monoatomic gas | ||
| 3. | \(c-\)isothermal | 4. | \(a-\)isothermal |
| \(b-\)adiabatic, monoatomic gas | \(b-\)adiabatic, monoatomic gas | ||
| \(a-\)adiabatic, diatomic gas | \(c-\)adiabatic, diatomic gas |
Subtopic: Types of Processes |
52%
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An ideal gas is taken from \(A\) to \(C\) through the process \(ABC\) and independently, from \(A\) to \(C\) through the process \(ADC\) – as shown on the indicator \((P\text -V)\) diagram. The work done in \(ABC\) is \(W_1\) and in \(ADC\) is \(W_2;\) the change in internal energy is \(\Delta U_1\) for process \(ABC,\) \(\Delta U_2\) for process \(ADC.\)
The temperatures at \(B\) and \(D\) are \(T_B\) and \(T_D,\) on the absolute scale. Then,
The temperatures at \(B\) and \(D\) are \(T_B\) and \(T_D,\) on the absolute scale. Then,
| 1. | \(T_B=T_D\) |
| 2. | \(T_B>T_D\) |
| 3. | \(T_B<T_D\) |
| 4. | the relationship between \(T_B,T_D\) depends on whether the gas is monoatomic or diatomic. |
Subtopic: Types of Processes |
52%
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An ideal monatomic gas and a diatomic gas, both undergo adiabatic expansion starting from the same point on the \(P\)-\(V\) (indicator) diagram. The gases also undergo isothermal expansion. The curves are given by \(a,b,c.\) Which of the following is correct?
| 1. | \(a\)–isothermal, \(b\)–monatomic adiabatic, \(c\)–diatomic adiabatic |
| 2. | \(a\)–monatomic adiabatic, \(b\)–diatomic adiabatic, \(c\)–isothermal |
| 3. | \(a\)–diatomic adiabatic, \(b\)–monatomic adiabatic, \(c\)–isothermal |
| 4. | \(a\)–isothermal, \(b\)–diatomic adiabatic, \(c\)–monatomic adiabatic |
Subtopic: Types of Processes |
57%
From NCERT
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An ideal mono-atomic gas undergoes an expansion, keeping its temperature constant, but its volume increases two-fold. The same amount (number of moles) of a diatomic gas undergoes the same process. If the heat supplied in the first case be \(Q_1\) and in the second be \(Q_2,\) then:
| 1. | \(Q_1=Q_2\) | 2. | \(5Q_1=3Q_2\) |
| 3. | \(Q_1=2Q_2\) | 4. | \(Q_2=2Q_1\) |
Subtopic: Types of Processes |
58%
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An ideal gas undergoes a thermodynamic process following the relation \(PT^2=\text{constant}\). Assuming symbols have their usual meaning, then the volume expansion coefficient of the gas is equal to:
1. \( \dfrac{2}{T}\)
2. \(\dfrac{3}{T}\)
3. \( \dfrac{1}{2 T} \)
4. \(\dfrac{1}{ T}\)
1. \( \dfrac{2}{T}\)
2. \(\dfrac{3}{T}\)
3. \( \dfrac{1}{2 T} \)
4. \(\dfrac{1}{ T}\)
Subtopic: Types of Processes |
60%
From NCERT
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