A gas is compressed adiabatically, which one of the following statement is NOT true? [2023]

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Q.
A gas is compressed adiabatically, which one of the following statement is NOT true [2023]

1 There is no heat supplied to the system

2 The temperature of the gas increases

3 The change in the internal energy is equal to the work done on the gas

4 There is no change in the internal energy

Ans.
(4)

$(1) Δ Q = 0$

$(2) Δ Q = Δ U + Δ W \Rightarrow Δ U = - Δ W$

$Adiabatic compression (V ↓)$

$Δ W = - ve \Rightarrow Δ U = + ve$

$Δ U ↑ \Rightarrow T ↑$

$Δ U \neq 0$

Solution

Q.
A gas is compressed adiabatically, which one of the following statement is NOT true [2023]

1 There is no heat supplied to the system

2 The temperature of the gas increases

3 The change in the internal energy is equal to the work done on the gas

4 There is no change in the internal energy

Ans.
(4)

$(1) Δ Q = 0$

$(2) Δ Q = Δ U + Δ W \Rightarrow Δ U = - Δ W$

$Adiabatic compression (V ↓)$

$Δ W = - ve \Rightarrow Δ U = + ve$

$Δ U ↑ \Rightarrow T ↑$

$Δ U \neq 0$

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Solution

Q. A gas is compressed adiabatically, which one of the following statement is NOT true [2023]

1 There is no heat supplied to the system

2 The temperature of the gas increases

3 The change in the internal energy is equal to the work done on the gas

4 There is no change in the internal energy

Ans. (4) (1) ΔQ=0 (2) ΔQ=ΔU+ΔW⇒ΔU=-ΔW Adiabatic compression (V↓) ΔW=-ve ⇒ ΔU=+ve ΔU↑⇒T↑ ΔU≠0

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Q.
A gas is compressed adiabatically, which one of the following statement is NOT true [2023]

Ans.
(4)

$(1) Δ Q = 0$

$(2) Δ Q = Δ U + Δ W \Rightarrow Δ U = - Δ W$

$Adiabatic compression (V ↓)$

$Δ W = - ve \Rightarrow Δ U = + ve$

$Δ U ↑ \Rightarrow T ↑$

$Δ U \neq 0$