In an adiabatic process, which of the following statements is true? [2025]

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Q.
In an adiabatic process, which of the following statements is true [2025]

1 The molar heat capacity is infinite

2 Work done by the gas equals the increase in internal energy

3 The molar heat capacity is zero

4 The internal energy of the gas decreases as the temperature increases

Ans.
(3)

For adiabatic process, dQ = 0

$∴$ Molar heat capacity = 0

$∵$ dQ = 0 $\Rightarrow$ dU = –dW

Also, $d U = \frac{f}{2} n R d T$

$∴$ Only option (3) is correct.

Solution

Q.
In an adiabatic process, which of the following statements is true [2025]

1 The molar heat capacity is infinite

2 Work done by the gas equals the increase in internal energy

3 The molar heat capacity is zero

4 The internal energy of the gas decreases as the temperature increases

Ans.
(3)

For adiabatic process, dQ = 0

$∴$ Molar heat capacity = 0

$∵$ dQ = 0 $\Rightarrow$ dU = –dW

Also, $d U = \frac{f}{2} n R d T$

$∴$ Only option (3) is correct.

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Solution

Q. In an adiabatic process, which of the following statements is true [2025]

1 The molar heat capacity is infinite

2 Work done by the gas equals the increase in internal energy

3 The molar heat capacity is zero

4 The internal energy of the gas decreases as the temperature increases

Ans. (3) For adiabatic process, dQ = 0 ∴ Molar heat capacity = 0 ∵ dQ = 0 ⇒ dU = –dW Also, dU=f2nRdT ∴ Only option (3) is correct.

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Q.
In an adiabatic process, which of the following statements is true [2025]

Ans.
(3)

For adiabatic process, dQ = 0

$∴$ Molar heat capacity = 0

$∵$ dQ = 0 $\Rightarrow$ dU = –dW

Also, $d U = \frac{f}{2} n R d T$

$∴$ Only option (3) is correct.