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Standard XII

Chemistry

Thermodynamic Processes

A gas with ...

Question

A gas with $\frac{C_{P}}{C_{V}} = γ$ goes from an initial state $(p_{1}, V_{1}, T_{1})$ to a final state $(p_{2}, V_{2}, T_{2})$ through an adiabatic process. The work done by the gas is

\frac{n R (T_{1} - T_{2})}{γ - 1}

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\frac{p_{1} V_{1} - p_{2} V_{2}}{γ - 1}

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\frac{p_{1} V_{1} - p_{2} V_{2}}{γ + 1}

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n R T (T_{1} - T_{2})

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Solution

The correct options are
A $\frac{n R (T_{1} - T_{2})}{γ - 1}$
B $\frac{p_{1} V_{1} - p_{2} V_{2}}{γ - 1}$

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Similar questions

One mole of an ideal gas with $\frac{C_{p}}{C_{v}} = γ$ at absolute temperature $T_{1}$ is adiabatically compressed from an initial pressure
$P_{1}$ to a final pressure $P_{2}$ . The resulting temperature $T_{2}$ of the gas is given by

\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}

is true for :

For an ideal gas, an illustration of three different paths

A

(B + C)

and

(D + E)

from an initial state

P_{1}

V_{1}

T_{1}

to a final state

P_{2}

V_{2}

T_{1}

is shown in the given figure.
Path

A

represents a reversible Isothermal expansion from

P_{1}

V_{1}

P_{2}, V_{2}

. Path

(B + C)

reperesents a reversible adiabatic expansion

(B)

from

P_{1} V_{1}

T_{1}

P_{3}

V_{2}

T_{2}

followed by reversible heating the gas at constant volume

(C)

from

P_{3}

V_{2}

T_{2}

P_{2}

V_{2}

T_{1}

. Path

(D + E)

represents a reversible expansion at constant pressure

P_{1} (D)

from

P_{1}

V_{1}

T_{1}

P_{1}

V_{2}

T_{3}

followed by a reversible cooling at constant volume

V_{2} (E)

from

P_{1}

V_{2}

T_{3}

P_{2}

V_{2}

T_{1}

. What is

Δ S

for path

(D + E) ?

Q. In a problem, we have a situation,
P1V1/T1=P2V2/T2
In the question,T1 and T2 are given in degree Celsius,
V1 ,V2 and P1 are also given,
In order to find P2,
Is it necessary to convert T1 and T2 to Kelvin scale?

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A gas with CPCV=γ goes from an initial state (p1,V1,T1) to a final state (p2,V2,T2) through an adiabatic process. The work done by the gas is

The correct options are A nR(T1−T2)γ−1 B p1V1−p2V2γ−1

A gas with $\frac{C_{P}}{C_{V}} = γ$ goes from an initial state $(p_{1}, V_{1}, T_{1})$ to a final state $(p_{2}, V_{2}, T_{2})$ through an adiabatic process. The work done by the gas is

The correct options are
A $\frac{n R (T_{1} - T_{2})}{γ - 1}$
B $\frac{p_{1} V_{1} - p_{2} V_{2}}{γ - 1}$