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If the volume of a given mass of gas at 298 K and pressure o...

If the volume of a given mass of gas at 298 K and pressure of 205.2 x 103 Nm2 is 2.12dm3, what is volume of the gas at s.t.p? (Standard pressure = 101.3 x 103 Nm2, Standard temperature = 273K)

A.

39.3dm 3

B.

22.4dm3

C.

4.93dm3

D.

3.93dm3

E.

0.393dm3

Correct answer is D

V1 = 2.12dm3,    V2 = ?

P1 = 205.2 x 103 Nm2,    P2 = 101.3 x 103 Nm2

T1 = 293K,     T2 = 273K

Using P1V1T1P2V2T2

: V2P1V1T2P2T1

 →  205.2x1032.12273101.3x103293

= 4.0dm3