Question

Initial pressure and temperature of a gas are 1.0 x 10
N/mʻand 15°C respectively. By suddenly compressing,
the final volume of gas is made one-fourth of initial
volume. Find the last pressure and temperature of the
gas. (y = 1.5)
Ans. 8.0 x 10 N/m², 303°C.​

Answer 1

Answer:

We have the equation,

P

1

V

1

γ

=P

2

V

2

γ

where,

P

1

and V

1

are initial pressure and volume of gas respectively.

P

2

and V

2

are final pressure and volume of gas respectively.

Let P and V be the initial pressure and volume of the gas respectively. Now the gas is compressed adiabativcally to

4

1

th

of its initial volume.

Then,

PV

γ

=P

2

(

4

V

)

γ

PV

γ

=

4

γ

P

2

V

γ

or

P

2

=4

γ

P

For mono-atomic gases, γ=

3

5

Then,

P

2

=4

5/3

P=10.08P