Question

c. Calculate the final volume of a gas 'R', if the original pressure of the gas, at
S.T.P is increased 4 times and its temperature is increased 6 times. ​

Answer 1

Answer:

According to the ideal gas law PV=nRT and at ST/P, TP/V=T1P1/V1 

⇒ if P1=2P, T1=3T, then V1=T×2P/PV×3T=23/V=121/V

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

______________________________

NOW, USING THE GAS EQUATION :

______________________________

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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