Question

pØ. During an experiment, an ideal gas is found to obey
additional law p/V2 constant. The gas is initiall-
temperature T and volume V. The temperature at whic
expands to a volume 2V, is
(1) 2T
(2) 8T
(3) 4T
16

Answer 1

Answer:

We are given an ideal gas which is following an additional law,

PV

2

= a constant ....................(1)

As the gas is ideal, the gas law is

PV=nRT

Taking the value of P from the above equation, we get

P=

V

nRT

Putting this value in equation (1), we get

V

nRT(V)

2

= constant

As n and R are constant, above equation becomes,

TV= a constant .....................(2)

Now, the gas is expanding from initial volume V

1

to final volume V

2

by 2 units, it becomes

V

2

=2V

1

From equation (2), we get

T

1

V

1

=T

2

V

2

T

1

V

1

=T

2

(2V

1

)

T

2

=

2

T

1

So the correct answer is

2

T