Question

Two samples A and B of a gas initial at same pressure compressed from V to V/2 (A isothermally and B isobarically) What is the pressure in A
A: equal to B
B: greater than B
C: less than B
D: Twice of pressure at B​

Answer 1

Answer:

less than the final pressure of B

For isothermal process, PV= constant

P

1

V

1

=P

2

V

2

⟹P

2

=2P

1

For adiabatic process, PV

γ

= constant

P

1

V

1

γ

=P

2

V

2

γ

⟹P

2

=P

1

(

V

2

V

1

)

γ

⟹P

2 =P 1

2 y

Since, γ is always greater than 1, For the same change in volume, there will be a greater change in pressure for adiabatic process than that for isothemral process.