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Charles's Law

Which of the ...

Question

Which of the following is the correct mathematical representation of Charles's law?

A

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

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B

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

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C

V_{1} = 2 T_{2}

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D

V_{2} = 2 T_{2}

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Solution

The correct option is B $\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$
Charles's law is stated as follows:
"The volume of a given mass of gas at constant pressure is directly proportional to its temperature on the Kelvin scale."

Let $V_{1}$ be the volume of a certain mass of gas at temperature $T_{1}$ and pressure, P. If the temperature is changed to $T_{2}$ , while keeping the pressure constant, its volume changes to $V_{2}$ . The relationship among the four variables $V_{1}$ , $T_{1}$ , $V_{2}$ , and $T_{2}$ is as follows:

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$ (Pressure and mass constant)

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Similar questions

Q. The correct mathematical representation of Charles' law is

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

Q. Which gas law is summarized with the following equation?

(P_{1} V_{1}) / T_{1} = (P_{2} V_{2}) / T_{2}

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)

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) ?

Q. An ideal gas is expanded from

(p_{1}, V_{1}, T_{1}) t o (p_{2}, V_{2}, T_{2})

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

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