Question

at 27°c and one atmospheric pressure a gas has volume V, what will we its volume at 177°c and a pressure of 1.5 atmosphere ?​

Answer 1

$\huge{\underline{\underline{\mathbf{Answer:-}}}}$

✡ given condition -

V1 = V

p1= 1 atm

T1= 273+27 = 300 k

✡final conditions -

V2 = ?

p2 = 1.5atm

T2 = 273+177 = 450 k

applying gas equation , we have

$= > \frac{1 \times v}{300 } = \frac{1.5 \times v_{2} }{450}$

$v_{2} = \frac{1 \times v \times 450}{300 \times 1.5}$

volume of gas = V

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Answer 2

Here we will use the relation:

(P1V1) / T1 = (P2V2) / T2 (1)

We are given that:

At pressure of 1 atm and temperature of 270 C, the gas occupies a volume v.

Therefore:

P1 = 1 atm, V1 = v, T1 = (27 + 273) K = 300 K

Also:

P2 = 1.5 atm, T2 = (177 + 273)K = 450 K

Substituting the above values in equation (1),

We get:

( 1 X v) / 300 = (1.5 X V2) / 450

This gives: V2 = v

Thus:

The volume of the solution remains the same.