Question

Calculate the final volume of a gas, if the pressure of the gas, originally at s.t.p. is
doubled and its temperature is tripled.

Answer 1

v = 3/2 nRT/P

Explanation:

v = nRT/p

V = 3nRT/2P

Answer 2

Question:

Calculate the final volume of a gas `X`, if the original pressure of the gas, at S.T.P is double and its temperature is increased three times.

Answer:

Initial Conditions:

P1 = 760 mm Hg

V1 = V1 (say)

T1 = 273 K

Final Conditions:

P2 = (2×760) mm Hg

V2 = V2 (say)

T2 = (3×273) K

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NOW, USING THE GAS EQUATION :

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P1V1/T1 = P2V2/T2

=> (760×V1)/273 = (1520×V2)/819

=> V2 = 1.5 V1

SO, the final volume is 1.5 times the initial volume of the gas at S. T. P.

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