Column-1 represents the process
Column-2 represents the $Δ U$ for that process and
Column-3 represents the work done expression for that process.
$\begin{matrix} C o l u m n I & C o l u m n 2 & C o l u m n 3 (I) & A d i a b a t i c e x p a n s i o n & (i) & 0 & (P) & w = q (I I) & I r r e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i) & P o s i t i v e & (Q) & w = - q (I I I) & R e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i i) & N e g a t i v e & (R) & w = 0 (I V) & F r e e e x p a n s i o n & (i v) & q & (S) & w = Δ U \end{matrix}$
A gas kept in a 100 L container was allowed to expand in a 5L evacuated container. Which set correctly describes this process?

(I) (ii) (P)

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(II) (iii) (R)

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(IV) (iv) (R)

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(III) (i) (Q)

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Solution

The correct option is A (I) (ii) (P)
Since it is a free expansion so work done will be zero i.e. w = 0
From first law of thermodynamics
$Δ U = - q + w$
$∴ Δ U = q$

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Similar questions

Q. Column-1 represents the process
Column-2 represents the

Δ U

for that process and
Column-3 represents the work done expression for that process.

\begin{matrix} C o l u m n I & C o l u m n 2 & C o l u m n 3 (I) & A d i a b a t i c e x p a n s i o n & (i) & 0 & (P) & w = q (I I) & I r r e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i) & P o s i t i v e & (Q) & w = - q (I I I) & R e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i i) & N e g a t i v e & (R) & w = 0 (I V) & F r e e e x p a n s i o n & (i v) & q & (S) & w = Δ U \end{matrix}

Which set correctly describes the process, when a pressure of 10 atm is applied on a gas container containing gas at 1 atm pressure at a constant temperature of 300K?

Column-1 represents the process
Column-2 represents the $Δ U$ for that process and
Column-3 represents the work done expression for that process.
$\begin{matrix} C o l u m n I & C o l u m n 2 & C o l u m n 3 (I) & A d i a b a t i c e x p a n s i o n & (i) & 0 & (P) & w = q (I I) & I r r e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i) & P o s i t i v e & (Q) & w = - q (I I I) & R e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i i) & N e g a t i v e & (R) & w = 0 (I V) & F r e e e x p a n s i o n & (i v) & q & (S) & w = Δ U \end{matrix}$
A gas kept in a 100 L container was allowed to expand in a 5L evacuated container. Which set correctly describes this process?

Q. Column-1 represents the process
Column-2 represents the

Δ U

for that process and
Column-3 represents the work done expression for that process.

\begin{matrix} C o l u m n I & C o l u m n 2 & C o l u m n 3 (I) & A d i a b a t i c e x p a n s i o n & (i) & 0 & (P) & w = q (I I) & I r r e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i) & P o s i t i v e & (Q) & w = - q (I I I) & R e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i i) & N e g a t i v e & (R) & w = 0 (I V) & F r e e e x p a n s i o n & (i v) & q & (S) & w = Δ U \end{matrix}

Which set correctly describes the process, when a pressure of 10 atm is applied on a gas container containing gas at 1 atm pressure at a constant temperature of 300K?

Q. Column-1 represents the formula of the complex.
Column-2 represents the hybridization state of the complex and
Column-3 represents the nature of the complex.

\begin{matrix} C o l u m n I & C o l u m n 2 & C o l u m n 3 (I) & [N i (C O)_{4}] & (i) & s p^{3} & (P) & D i a m a g n e t i c (H i g h s p i n) (I I) & [P t C l_{4}]^{2 -} & (i i) & s p^{3} d^{2} & (Q) & P a r a m a g n e t i c (H i g h s p i n) (I I I) & [N i (C O)_{4}] & (i i i) & d s p^{2} & (R) & D i a m a g n e t i c (L o w s p i n) (I V) & K_{2} [C o (C N)_{4}] & (i v) & d^{2} s p^{3} & (S) & P a r a m a g n e t i c (L o w s p i n) \end{matrix}

Which of the following set is correct for a diamagnetic tetrahedral complex?

Column-1 represents the process
Column-2 represents the $w = Δ U$ for that process and
Column-3 represents the work done expression for that process.
$\begin{matrix} C o l u m n I & C o l u m n 2 & C o l u m n 3 (I) & A d i a b a t i c e x p a n s i o n & (i) & 0 & (P) & w = q (I I) & I r r e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i) & P o s i t i v e & (Q) & w = - q (I I I) & R e v e r s i b l e i s o t h e r m a l c o m p r e s s i o n & (i i i) & N e g a t i v e & (R) & w = 0 (I V) & F r e e e x p a n s i o n & (i v) & q & (S) & w = ? U \end{matrix}$
Which set is correct for the bursting of tyre?

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The correct option is A (I) (ii) (P)Since it is a free expansion so work done will be zero i.e. w = 0 From first law of thermodynamics ΔU=−q+w ∴ΔU=q

The correct option is A (I) (ii) (P)
Since it is a free expansion so work done will be zero i.e. w = 0
From first law of thermodynamics
$Δ U = - q + w$
$∴ Δ U = q$