Question

8 moles of an ideal gas are present at 25°C. If the pressure of the gas is increased by 100% and volume is reduced by a factor of 2, then the final temperature of the gas will be A) 25 K B) 25°C C) 219°C D) 50°C​

Answer 1

The final temperature of the gas will be 25°C

Therefore, option (b) is correct.

Explanation:

Given:

8 moles of ideal gas are present at 25°C. The pressure is increased by 100% and volume is reduced by 2

To find out:

The final temperature of the gas

Solution:

Using the ideal gas equation

$PV=nRT$   . . . .  . .  . . .  . . (1)

Intial temperature

$T=25+273=298$ K

If P is increased by 100%, new pressure will be 2P

And new volume will be V/2

Thus,

$2P\times \frac{V}{2}=nRT'$

or, $PV=nRT'$  . . . .  . .  . . .  . . (2)

Comparing (1) and (2) we can say that

$T'=T$

or, T' = 293 K = 25°C

Hope this answer is helpful.

Know More:

Q: A gas in an open container is heated from 27°C to 127°C.The fraction of the original amount of gas remaining of the container will be what?

Click Here: https://brainly.in/question/5074804