A gas expands from a volume of $1 m^{3}$ to a volume of $2 m^{3}$ against an external pressure of $10^{5} N m^{- 2}$ . The work done by the gas is:

10^{5} k J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10^{2} k J

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10^{2} J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10^{3} J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $10^{2} k J$
A gas expands from a volume of 1 m $^{3}$ to a volume of 2 m $^{3}$ against an external pressure of $10^{5}$ Nm $^{- 2}$ .

The work done by the gas will be

$w = P Δ V$

$= 10^{5} N m^{- 2} \times (2 - 1) m^{3}$

$= 10^{5} N . m = 10^{5} J = 10^{2} k J$ ......( $1 N . m$ $= 1$ J.)

Hence, the correct option is $B$

Suggest Corrections

Similar questions

Q. An ideal gas expands in volume from

1 \times 10^{- 3} m^{3}

1 \times 10^{- 2} m^{3}

300 K

against a constant pressure of

1 \times 10^{5} N m^{- 2}

The work done is:

An ideal gas expands in volume from $1 \times 10^{- 3}$ to $1 \times 10^{- 2} m^{3}$ at $300 K$ against a constant pressure of $1 \times 10^{5} N m^{- 2}$ . The work done is

Q. An ideal gas expands in volume from

1 \times 10^{- 3} m^{3}

1 \times 10^{- 2} m^{3}

at 300 K against a constant pressure of

1 \times 10^{5} N m^{- 2}

. The work is:

Q. An ideal gas expands from

10^{- 3} m^{3}

10^{- 2} m^{3}

300

K against a constant pressure of

10^{5} N m^{- 2}

. The work done is?

An ideal gas expands in volume from 10^-3m³ to 10^-2m^-3 at 300K against a constant pressure of 10⁵Nm^-2.The work done is?

Join BYJU'S Learning Program

A gas expands from a volume of 1 m3 to a volume of 2 m3 against an external pressure of 105 Nm−2. The work done by the gas is:

The correct option is B 102 kJA gas expands from a volume of 1 m3 to a volume of 2 m3 against an external pressure of 105 Nm−2. The work done by the gas will bew=PΔV =105Nm−2×(2−1)m3 =105N.m=105J=102kJ ......(1N.m =1 J.)Hence, the correct option is B

A gas expands from a volume of $1 m^{3}$ to a volume of $2 m^{3}$ against an external pressure of $10^{5} N m^{- 2}$ . The work done by the gas is: