Charles' law is represented mathematically as:

V_{t} = K V_{0} t

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V_{t} = \frac{K V_{0}}{t}

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V_{t} = V_{0} (1 + \frac{273}{t})

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V_{t} = V_{0} (1 + \frac{t}{273})

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Solution

The correct option is D $V_{t} = V_{0} (1 + \frac{t}{273})$
Charles' law is represented mathematically as $V_{t} = V_{0} (1 + \frac{t}{273})$
It can also be represented as $V_{t} = V_{0} (\frac{T}{T_{0}})$ or $V \propto T$
At constant pressure, volume of the given mass of the gas is directly proportional to absolute temperature.

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Similar questions

You have learnt that a travelling wave in one dimension is represented by a function y = f (x, t)where x and t must appear in the combination x – v t or x + v t, i.e. y = f (x ± v t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave:

(a) (x – vt)²

(b)

(c)

Q. You have learnt that a travelling wave in one dimension is represented by a function y = f (x,t) where x and t must appear in the combination x - v t or x + v t i.e.

y = f (x \pm v t)

. Is the converse true ? Examine if the following functions for y can possibly represent a travelling wave :
(a)

(x + v t)^{2}

(b)

log [(x + v t) / x_{o}]

Q. Which graph is correct according to Charles' Law. (Here T = t + 273)

Q. Match the following :

List -I	List-II
A. Boyle’s law	1. $P_{w e t} = P_{d r y} + P_{w a t e r v a p o u r}$
B. Avogadro law	2. $V_{1} = n_{1} (\frac{V_{2}}{n_{2}})$
C. Charles law	3. $V_{1} = V_{0} (1 + \frac{t}{273})$
D. Dalton’s law	4. $V_{1} = P_{2} (\frac{V_{2}}{P_{1}})$

The correct match is:

Q. Which graph is correct according to Charles Law. (Here T = t + 273)

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Charles' law is represented mathematically as:

The correct option is D Vt=V0(1+t273)Charles' law is represented mathematically as Vt=V0(1+t273)It can also be represented as Vt=V0(TT0) or V∝TAt constant pressure, volume of the given mass of the gas is directly proportional to absolute temperature.