The work done in an adiabatic change in a gas depends only on

(1) Change is pressure

(2) Change is volume

(3) Change in temperature

(4) None of the above

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(1) ΔU = 0

(2) ΔU = negative

(3) ΔU = positive

(4) ΔW = zero

Concept Questions :-

First law of thermodynamics
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A monoatomic gas $\left(\gamma =5/3\right)$ is suddenly compressed to $\frac{1}{8}$ of its original volume adiabatically, then the pressure of the gas will change to -

(1) $\frac{24}{5}$

(2) 8

(3) $\frac{40}{3}$

(4) 32 times its initial pressure

Concept Questions :-

Types of processes
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The pressure and density of a diatomic gas $\left(\gamma =7/5\right)$ change adiabatically from (P, d) to (P', d'). If $\frac{d\text{'}}{d}=32$, then $\frac{P\text{'}}{P}$ should be

(1) 1/128

(2) 32

(3) 128

(4) None of the above

Concept Questions :-

Types of processes
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An ideal gas at 27°C is compressed adiabatically to $\frac{8}{27}$ of its original volume. If $\gamma =\frac{5}{3}$, then the rise in temperature is

(1) 450 K

(2) 375 K

(3) 225 K

(4) 405 K

Concept Questions :-

Types of processes
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Two identical samples of a gas are allowed to expand (i) isothermally (ii) adiabatically. Work done is

(1) More in the isothermal process

(2) More in the adiabatic process

(3) Neither of them

(4) Equal in both processes

Concept Questions :-

Work done by gas
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Which is the correct statement ?

(1) For an isothermal change PV = constant

(2) In an isothermal process the change in internal energy must be equal to the work done

(3) For an adiabatic change $\frac{{P}_{2}}{{P}_{1}}={\left(\frac{{V}_{2}}{{V}_{1}}\right)}^{\gamma }$, where γ is the ratio of specific heats

(4) In an adiabatic process work done must be equal to the heat entering the system

Concept Questions :-

Types of processes
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The slopes of isothermal and adiabatic curves are related as -

(1) Isothermal curve slope = adiabatic curve slope

(2) Isothermal curve slope = γ × adiabatic curve slope

(3) Adiabatic curve slope = γ × isothermal curve slope

(4) Adiabatic curve slope = $\frac{1}{2}×$ isothermal curve slope

Concept Questions :-

Types of processes
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Pressure-temperature relationship for an ideal gas undergoing adiabatic change is $\left(\gamma ={C}_{p}/{C}_{v}\right)$

(1) $P{T}^{\gamma }=$ constant

(2) $P{T}^{-1+\gamma }=$ constant

(3) ${P}^{\gamma -1}{T}^{\gamma }=$ constant

(4) ${P}^{1-\gamma }{T}^{\gamma }=$ constant

Concept Questions :-

Types of processes
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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 by the gas will be equal to -

(1) 1 J

(2) –1 J

(3) 2 J

(4) – 2 J

Concept Questions :-

First law of thermodynamics