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?

(II) (i) (R)

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(II) (ii) (P)

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(III) (i) (Q)

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(II) (i) (Q)

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Solution

The correct option is D (II) (i) (Q)
The given process is an irreversible isothermal compression.
Since, the process is isothermal
$∴ Δ U = 0$
So, from I law
$Δ U = q + w$
$q = - w$
or $w = - q$

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Similar questions

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?

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?

Q. Calculate the work done when

5

moles of oxygen gas contracts isothermally from

85 L

15 L

against a constant pressure of

2 a t m

25^{0} C

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The correct option is D (II) (i) (Q)The given process is an irreversible isothermal compression. Since, the process is isothermal ∴ΔU=0 So, from I law ΔU=q+w q=−w or w=−q

The correct option is D (II) (i) (Q)
The given process is an irreversible isothermal compression.
Since, the process is isothermal
$∴ Δ U = 0$
So, from I law
$Δ U = q + w$
$q = - w$
or $w = - q$