Question

What is the effect of the following change on the volume of 1 mol of an ideal gas? The initial pressure is 722 torr, the final pressure is 0.950 atm, the initial temperature is 32°F, and the final temperature is 273 K. A. Volume is unchanged B. Volume increases by about 10% C. volume decreases by about 92% D. volume increases by 8% E. volume increases by about 90%.

Answer 1

A. Volume is unchanged

Step-by-step explanation:

`P_(i)` = initial pressure of the gas = 722 torr = 96258.7 pa

`P_(f)` = final pressure of the gas = 0.950 atm = 96258.75 pa

`T_(i)` = initial temperature = 32 °F = 272.15 K

`T_(f)` = final temperature = 273 K

`V_(i)` = initial volume

`V_(f)` = final volume

Using the Equation

`(P_(i) V_(i))/(T_(i)) = (P_(f) V_(f))/(T_(f))`

Inserting the values

`((96958.7) V_(i))/(272.15) = ((96958.75) V_(f))/(273)`

`V_(f) = (1.00312) V_(i)`

Hence the volume is unchanged.