Which of the following will cause the volume of an ideal gas to triple in value? A) Raising the absolute temperature by a factor of 3 while increasing the pressure by a factor of 3. B) Lowering the absolute temperature by a factor of 3 while increasing the pressure by a factor of 3. C) Lowering the pressure by a factor of 3 while the temperature stays constant. D) Lowering the absolute temperature by a factor of 3 at constant pressure. E) Raising the temperature from 25 C to 75 C at constant pressure.

Question

Chemistry

Maximo French

5 September, 22:29

Which of the following will cause the volume of an ideal gas to triple in value? A) Raising the absolute temperature by a factor of 3 while increasing the pressure by a factor of 3. B) Lowering the absolute temperature by a factor of 3 while increasing the pressure by a factor of 3. C) Lowering the pressure by a factor of 3 while the temperature stays constant. D) Lowering the absolute temperature by a factor of 3 at constant pressure. E) Raising the temperature from 25 C to 75 C at constant pressure.

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Jaqueline · Answer 1

C) C) Lowering the pressure by a factor of 3 while the temperature stays constant.

Explanation:

P V = nRT ⇒ V = nRT/P

Volume is directly proportional to n, T and inversely proportional to P

a) Vfinal = n R (3TI) / 3Pi = nRTi/Pi = Vi FALSE

b) Vinal = n R (Ti/3) / (3Pi) = nRTi/Pi = (1/9) Vinitial FALSE

c) Vfinal = n R (Ti/3) / Pi = nRTi/Pi = Vi TRUE

d) Vfinal = nR (Tinitial/3P = 1/3 Vi FALSE

e) False we do not use ªC in the ideal gas law, we use K FALSE