A 35.0 L sample of gas collected in the upper atmosphere at a pressure of 48.6 torr is compressed into a 150. mL container at constant temperature. What is the new pressure (atm)? (4pts) 1 atm = 760 torr

Respuesta :

Answer:

The new pressure (atm) = 14.7 atm or 11172 torr

Explanation:

                                 P₁V₁ = P₂V₂ (using Boyle's law at constant temperature)

Volume of sample of gas collected in the upper atmosphere (V₁) = 35.0 Lit

pressure of the gas (P₁) = 48.6 torr

                           1 atm = 760 torr

                     ⇒    [tex]1 torr= \frac{1}{760} = 0.00131 atm[/tex]

                     ⇒   48.6 torr = 48.6 x 0.00131 = 0.063 atm

Volume after compression (V₂) = 150 ml = 0.15 lit

  New pressure (P₂) = ?

                                          P₁V₁ = P₂V₂

                          ⇒          P₂ = [tex]\frac{P_{1} V_{1} }{V_{2} } \\[/tex]

                          ⇒         P₂ = [tex]=\frac{0.063X35}{0.15} = 14.7 atm[/tex] or 11172 torr