Angelmanago173idn
Answered

Makakuha ng kaugnay na sagot sa lahat ng iyong katanungan sa IDNStudy.com. Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.

a sample fluorine gas occupies a volume of 400 ml at 760 torr. given that the temperature remains the same calculate the pressure required to reduce it's volume by
[tex]1 \2[/tex]
​

Sagot :

MissyArelleeeeeidn

GASES: BOYLE’S LAW

A sample fluorine gas occupies a volume of 400 ml at 760 torr. Given that the temperature remains the same calculate the pressure required to reduce its volume by [tex]\frac{1}{2}[/tex].

GIVEN:

  • [tex] \rm P_1 = 760\: torr[/tex]
  • [tex]\rm V_1 = 400 ml[/tex]
  • [tex]\rm V_2= \frac{1}{2}V_1[/tex]

SOLUTION:

Find the value of the final volume.

[tex]\rm V_2= \frac{1}{2}V_1 = \frac{1}{2} (400 \: ml) = 200 \: ml [/tex]

Rearrange the equation [tex]\rm P_1V_1 = P_2V_2[/tex] to get the equation that will solve for [tex]\rm P_2[/tex]

[tex]\rm P_2=\frac{P_1V_1}{V_2}[/tex]

Substitute all the given values to solve for the final temperature. The unit mL is cancelled out to give the final unit which is torr.

[tex]\rm P_2=\frac{P_1V_1}{V_2}[/tex]

[tex]\rm P_2=\frac{(760\:torr)(400\: mL)}{200\: mL}[/tex]

[tex]\rm P_2=\frac{304 \: 000 \: torr}{200}[/tex]

[tex] \boxed{\rm P_2=1 \: 520 \: torr}[/tex]

Convert the pressure in atmosphere, atm, using the equation [tex]\rm atm=\frac{torr}{760}[/tex]

[tex]\rm atm=\frac{torr}{760}[/tex]

[tex]\rm atm=\frac{1 \: 520}{760} = 2 [/tex]

  • Using the same equation, we can say that the initial pressure is at one atmosphere (1 atm).

ANSWER:

Therefore, the pressure required to reduce its volume by [tex]\frac{1}{2}[/tex] is 2 atm.