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Standard XII

Chemistry

Charles' Law

Which of the ...

Question

Which of the following is/are correct about Charles' law?

(\frac{\partial V}{\partial T})_{P}

= constant

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V \propto T

at constant

P, n

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V \propto P

at constant

T, n

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V \propto T^{2}

is constant at constant

P, n

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Solution

The correct options are
A $(\frac{\partial V}{\partial T})_{P}$ = constant
B $V \propto T$ at constant $P, n$
Charles' law : The volume of a given gas is proportional to the absolute temperature.
$V \propto T$
$∴ {[\frac{\partial V}{\partial T}]}_{P} = K$ at constant $P$ and $n$ .

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Similar questions

Match the following gas laws with the equation representing them.

$\begin{matrix} A . & B o y l e^{'} s l a w & 1. V \propto n a t c o n s t a n t T a n d p B . & C h a r l e^{'} s l a w & 2. p_{T o t a l} = p_{1} + p_{2} + p_{3} + \dots a t c o n s t a n t T, V C . & D a l t o n^{'} s & 3. \frac{p V}{T} = c o n s t a n t D . & A v o g a d r o^{'} s l a w & 4. V \propto T a t c o n s t a n t n a n d p 5. p \propto \frac{1}{V} a t c o n s t a n t n a n d T \end{matrix}$

Q. (i) Boyle's law (a) V

\propto

n at constant T and p
(ii) Charle's law (b)

P_{T o t a l} = p_{1} + p_{2} + p_{3} +

.... at constant T, V
(iii) Dalton's law (c) V

\propto

T at constant n and p
(iv) Avogadro law (d) p

\propto

\frac{1}{V}

at constant n and T

Match the following gas laws with the equation representing them.

An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C remains constant. If during this process the relation of pressure P and volume V is given by $P V^{n}$ = constant, then n is given by (Here $C_{P}$ and $C_{V}$ are molar specific heat at constant pressure and constant volume, respectively):

Q. According to Charles' law V/T = constant.

Match List I with List II

List-I List-II

a) Dalton's Law e) PV= constant (T = constant)

b) Charle's Law-I f) P/T = constant (V = constant)

c) Charle's Law-II g) V/T= constant (P = constant)

d) Boyle's Law h) P = $P_{1} + P_{2} + . . . . . . P_{\infty}$

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Which of the following is/are correct about Charles' law?

The correct options are A (∂V∂T)P = constant B V∝T at constant P,nCharles' law : The volume of a given gas is proportional to the absolute temperature. V∝T∴[∂V∂T]P=K at constant P and n.

The correct options are
A $(\frac{\partial V}{\partial T})_{P}$ = constant
B $V \propto T$ at constant $P, n$
Charles' law : The volume of a given gas is proportional to the absolute temperature.
$V \propto T$
$∴ {[\frac{\partial V}{\partial T}]}_{P} = K$ at constant $P$ and $n$ .