Question

hello mates
To what temperature a gas at 127°C must be cooled so that its volume is reduced to 1/4
of its initial volume,
pressure remaining constant ?
(-173°C)​

Answer 1

Answer:

It can be solved by using the relation of Charle's Law.

Charle's Law explains that: For a fixed mass of gas at constant pressure (P) ,the volume is directly proportional to the kelvin temperature (T). 

Mathematically, At constant P and Mass (or no. of moles = n)

V ∝ T

Or, T1 /T2 = V1 /V2........(1)

Given that:

T1 = 127º C = (273 + 127) = 400 K

T2 = ?

Let V1 be 1 L

V2 would be 1/4 L

Using equation 1)

T2 = V2/V1 x T1

    =  1/4 x 400 K

   = 100 K

So the temperature should be reduced to 100 K to get the 1/4 of initial volume of gas.