Physics, asked by 1professorishere1776, 7 hours ago

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​

Answers

Answered by sonuvuce
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:

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