Question

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 remains constant.​

Answer 1

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

Answer 2

Explanation:

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)

VxT

Or, T1/T2 = V1/V2... .. (1)

Given that:

T1 = 127° C = (273 +127) = 400 K

T2 = ?

Let V1 be 1 L

V2 would be 1/4 L

Using equation 1) T2 = V2/V1x 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.