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Q. No.Two moles of a monoatomic gas are mixed with six moles of a diatomic gas. What is the molar specific heat at constant volume of the resulting mixture? (\(R\) is the universal gas constant)
1. \(1.75R\)
2. \(2.25R\)
3. \(2.75R\)
4. \(2.50R\)
1. \(1.75R\)
2. \(2.25R\)
3. \(2.75R\)
4. \(2.50R\)
Subtopic: Molar Specific Heat |
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When heat \(Q\) is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by \(\Delta T,\) the heat required to produce the same change in temperature, at a constant pressure is:
1. \( \dfrac{7}{5} Q \)
2. \(\dfrac{3}{2} Q \)
3. \( \dfrac{2}{3} Q \)
4. \( \dfrac{5}{3} Q\)
Subtopic: Molar Specific Heat |
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What is the molar-specific heat \((C_V)\) of a \(1:2\) molar mixture of monatomic & diatomic ideal gases?
1. \(\dfrac{11}{6}R\)
2. \(\dfrac{13}{6}R\)
3. \(5R\)
4. \(\dfrac{17}{6}R\)
1. \(\dfrac{11}{6}R\)
2. \(\dfrac{13}{6}R\)
3. \(5R\)
4. \(\dfrac{17}{6}R\)
Subtopic: Molar Specific Heat |
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For a monoatomic ideal gas, what is the ratio of the molar specific heat at constant pressure \((C_p)\) to the molar specific heat at constant volume \((C_v)\)?
| 1. | \(\dfrac{5}{3}\) | 2. | \(\dfrac{5}{2}\) |
| 3. | \(\dfrac{7}{5}\) | 4. | \(\dfrac{9}{7}\) |
Subtopic: Molar Specific Heat |
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\(1\) mole of an equimolar mixture of hydrogen and helium gas is taken through the processes \(AB,BC\) & \(CA:\)
The temperature of the gas mixture (consider ideal) is \(T_0\) at the point \(C.\)
Choose the correct statement:
| (i) | process \(AB\) – Isobaric expansion quadrupling the volume |
| (ii) | process \(BC\) – Isochoric cooling |
| (iii) | process \(CA\) – Adiabatic compression |
Choose the correct statement:
| 1. | For this gas, \(C_V=2R\) | 2. | \(C_P=3R\) |
| 3. | \(\gamma=\dfrac32\) | 4. | All the above are true |
Subtopic: Molar Specific Heat |
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A diatomic gas, having \(C_P=\dfrac{7}{2}R\) and \(C_V=\dfrac{5}{2}R\) is heated at constant pressure. The ratio of \(dU:dQ:dW\) is:
1. \(5:7:3\)
2. \(5:7:2\)
3. \(3:7:2\)
4. \(3:5:2\)
Subtopic: Molar Specific Heat |
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A mixture is prepared by combining \(28~\text{g}\) of nitrogen \((\mathrm{N}_2)\) at \(27^{\circ}\text {C}\) with \(32~\text{g}\) of oxygen \((\mathrm{O}_2)\) at \(57^{\circ}\text {C}.\) Assuming no heat is lost to the surroundings, what will be the final equilibrium temperature of the mixture?
| 1. | \(50^{\circ}\text{C}\) | 2. | \(42^{\circ}\text{C}\) |
| 3. | \(61^{\circ}\text{C}\) | 4. | \(75^{\circ}\text{C}\) |
Subtopic: Molar Specific Heat |
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\(n_1\) moles of an ideal gas at a temperature \(T_1\) and \(n_2\) moles of the same gas at a temperature \(T_2\) are taken in two parts of the same insulated vessel with a partition between them. The partition is now removed. The final temperature is:
| 1. | \(\dfrac{n_1T_1+n_2T_2}{n_1+n_2}\) | 2. | \(\dfrac{n_1T_2+n_2T_1}{n_1+n_2}\) |
| 3. | \(\dfrac{n_1T_1-n_2T_2}{n_1-n_2}\) | 4. | \(\dfrac{n_1T_2-n_2T_1}{n_1-T_2}\) |
Subtopic: Molar Specific Heat |
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A gas with \(8\) degrees of freedom per molecule expands at constant pressure and performs \(150~\text{J}\) of work. The corresponding amount of heat absorbed by the gas is:
1. \(530~\text{J}\)
2. \(380~\text{J}\)
3. \(100~\text{J}\)
4. \(750~\text{J}\)
1. \(530~\text{J}\)
2. \(380~\text{J}\)
3. \(100~\text{J}\)
4. \(750~\text{J}\)
Subtopic: Molar Specific Heat |
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Four cylinders contain equal number of moles of argon, hydrogen, nitrogen and carbon dioxide at the same temperature. The energy is minimum in:
| (a) | argon |
| (b) | hydrogen |
| (c) | nitrogen |
| (d) | carbon dioxide |
Choose the correct option from the given ones:
| 1. | (a) only |
| 2. | (b) and (c) only |
| 3. | (c) and (d) only |
| 4. | (a) and (d) only |
Subtopic: Molar Specific Heat |
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