A gas contained in a cylinder fitted with a frictionless piston expands against a constant pressure 1 atmosphere from a volume of 4 litre to a volume of 14 litre. In doing so, it absorbs 800 J thermal energy from surrounding . Determine $△ U$ for the process.

- 213.25 J

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

- 417.30 J

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

320.75 J

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

150.32 J

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

Open in App

Solution

The correct option is A $- 213.25 J$
Given,
Heat absorbed, $q = 800 J$
Again, the gas expands from $4 L$ to $14 L$
$∴ △ V = (14 - 4) = 10 l i t r e$
We know, work done by the gas, $w = P Δ V$
$w = - 1 \times 10 = - 10$ litre - atm

Again,
$1 L - a t m = 101.325 J$
$∴ - 10 L - a t m = - 1013.25 J$
According to the first law of thermodynamics,
$Δ U = q + w$
$△ U = q + w = (800 - 1013.25) = - 213.25 J$

Suggest Corrections

Similar questions

Q. A gas contained in a cylinder fitted with a frictionless piston expands against a constant pressure 1 atmosphere from a volume of 4 litre to a volume of 14 litre. In doing so, it absorbs 800 J thermal energy from surrounding . Determine

△ U

for the process.

Q. A gas contained in a cylinder is filled with a frictionless piston expands against a constant pressure

1

atmosphere from a volume of

4

litre to a volume of

14

litre. In doing so, it absorbs

800 J

thermal energy from surroundings. Determine

Δ U

for the process.

Q. A gas present in a cylinder fitted with a frictionless piston expands against a constant pressure of 1 atm from a volume of 4 litres to a volume of 14 litres. In doing so, 800 J of heat is absorbed from surroundings. Determine change in internal energy of the process.

A gas contained in a cylinder fitted with a frictionless piston expands against a constant pressure 1 atmosphere from a volume of 4 liter to a volume of 14 liter. In doing so, it absorbs 800J thermal energy from surroundings. The value of $Δ U$ for the process is.

Q. A gas is contained in a cylinder fitted with a frictionless piston. It expands against a constant pressure of 1 atm from a volume of 4L to 14L. In doing so, it absorbs 800J thermal energy from the surrounding. The

Δ E

for the process is:

Join BYJU'S Learning Program

A gas contained in a cylinder fitted with a frictionless piston expands against a constant pressure 1 atmosphere from a volume of 4 litre to a volume of 14 litre. In doing so, it absorbs 800 J thermal energy from surrounding . Determine △U for the process.

A gas contained in a cylinder fitted with a frictionless piston expands against a constant pressure 1 atmosphere from a volume of 4 litre to a volume of 14 litre. In doing so, it absorbs 800 J thermal energy from surrounding . Determine $△ U$ for the process.