A 500-ml sample of argon at 800 torr has its absolute temperature quadrupled. If the volume remains unchanged what is the new pressure?.

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Answer

P V = C R T      natural gas law

P1 V1 = C R T1

P2 / P1 = T2 / T1 = 4       other numbers remain constant and cancel

P2 = 4 P1

The new pressure is 4 times as great.

The new pressure is 4 times greater.

Argon:

  • The chemical element argon has the atomic number 18 and the symbol Ar.
  • It is a noble gas that belongs to group 18 of the periodic table.
  • At 0.934 percent, argon is the third-most abundant gas in the Earth's atmosphere (9340 ppmv).
  • It is 23 times as abundant as carbon dioxide (400 ppmv), more than 500 times as abundant as neon, and more than twice as abundant as water vapor, which averages around 4000 ppmv but varies substantially (18 ppmv).
  • The most prevalent noble gas in the crust of the Earth, argon makes up 0.00015 percent of the crust.

Torr:

  • The torr is an absolute scale pressure measurement that is equal to precisely [tex]\frac{1}{760}[/tex] of a standard atmosphere.
  • As a result, [tex]\frac{101325}{760}[/tex] pascals is exactly one torr.
  • Although historically one torr was meant to be equivalent to one "millimeter of mercury," later redefinitions of the two units resulted in a minor difference.

Solution -

[tex]PV=CRT[/tex] (Natural gas law)

[tex]P1V1=CRT1[/tex]

[tex]\frac{P2}{P1} =\frac{T2}{T1} =4[/tex] (Other members remain constant and cancel)

[tex]P2=4P1[/tex]

Therefore, the new pressure is 4 times greater.

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