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Ideal Gas Equation

Which gas law...

Question

Which gas law is summarized with the following equation?
$(P_{1} V_{1}) / T_{1} = (P_{2} V_{2}) / T_{2}$

A

Boyle's Law

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B

Ideal Gas Law

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C

Combined Gas Law

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D

Charles; Law

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Solution

The correct option is C Combined Gas Law
The formula for the combined gas law can be adjusted to compare two sets of conditions in one substance. In the equation, the figures for pressure (P), volume (V), and temperature (T) with subscripts of one represent the initial condition, and those with the subscripts of two represent the final condition.
$P_{1} V_{1} / T_{1} = P_{2} V_{2} / T_{2}$

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Q. An ideal gas is expanded from

p_{1}, V_{1}, T_{1}

p_{2}, V_{2}, T_{2}

under different conditions.the correct statement(s) among the following is(are)

Q. An ideal gas is expanded from

p_{1}, V_{1}, T_{1}

p_{2}, V_{2}, T_{2}

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Q. An ideal gas follows a process described by

P V^{2} = C

(P_{1}, V_{1}, T_{1})

(P_{2}, V_{2}, T_{2})

(C is a constant). Then.

\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

For an ideal gas, an illustration of three different paths

A

(B + C)

(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}

(B + C)

reperesents a reversible adiabatic expansion

(B)

P_{1} V_{1}

T_{1}

P_{3}

V_{2}

T_{2}

followed by reversible heating the gas at constant volume

(C)

P_{3}

V_{2}

T_{2}

P_{2}

V_{2}

T_{1}

(D + E)

represents a reversible expansion at constant pressure

P_{1} (D)

P_{1}

V_{1}

T_{1}

P_{1}

V_{2}

T_{3}

followed by a reversible cooling at constant volume

V_{2} (E)

P_{1}

V_{2}

T_{3}

P_{2}

V_{2}

T_{1}

Δ S

(D + E) ?

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