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?

(I) (iii) (S)

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(I) (iii) (R)

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(I) (ii) (S)

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(IV) (iii) (S)

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Solution

The correct option is A (I) (iii) (S)
Bursting of tyre is an adiabatic process and for adiabatic expansion q = 0. Hence W = $Δ U$ , since it is expansion i.e. work done by the system.
$∴$ w is negative, So $Δ U$ = negative

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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. A process cycle ABCA consisting of isothermal expansion AB, isobaric compression BC and adiabatic compression CA, for 1 mole of ideal gas is shown below. (Given:

T_{A} = T_{B} = 400 K, λ = 1.5; (2)^{\frac{1}{3}} = 1.26)

\begin{matrix} C o l u m n I & C o l u m n I I & C o l u m n I I I (I) & Δ Q = - 247.5 R & (i) & Δ U = 165 R & (P) & Δ W = 165 R (I I) & Δ Q = 247.5 R & (i i) & Δ U = - 165 R & (Q) & Δ W = 400 R (l n 2) (I I I) & Δ Q = 400 R (l n 2) & (i i i) & Δ U = 82.5 R & (R) & Δ W = - 165 R (I V) & Δ Q = z e r o & (i v) & Δ U = z e r o & (S) & Δ W = - 82.5 R \end{matrix}

Which of the following options is correct for process

A \to B

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The correct option is A (I) (iii) (S)Bursting of tyre is an adiabatic process and for adiabatic expansion q = 0. Hence W = Δ U, since it is expansion i.e. work done by the system. ∴ w is negative, So Δ U = negative

The correct option is A (I) (iii) (S)
Bursting of tyre is an adiabatic process and for adiabatic expansion q = 0. Hence W = $Δ U$ , since it is expansion i.e. work done by the system.
$∴$ w is negative, So $Δ U$ = negative