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
25 K
25°C
219°C
50°C​

Answer 1

Answer:

25C is the correct answer.

Answer 2

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?

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