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what is the temperature, (in degrees celsius), of 5.0 g He gas confined to a volume of 5.50 L at a pressure of 2.5 atm?​

Sagot :

GAS LAW

Given

  • Volume (V) = 5.50 L
  • Mass = 5.0 g
  • Pressure (P) = 2.5 atm
  • Ideal Gas Constant (R) = 0.08206 L • atm / mol • K
  • Temperature (T) = ?

Convert the mass to moles.

1 mol He = 4.0 g/mol

(5.0 g He) / (4.0 g He / 1 mol He)

= 1.25 mol He

Use the derived formula of the Ideal Gas Law to calculate the temperature.

T = PV / nR

T = (2.5 atm)(5.50 L) / (1.25 mol)(0.08206 L • atm / mol • K)

T = (13.75 atm • L) / (0.1 L • atm / K)

T = 137.5 °K

Convert the temperature from Kelvin to Celcius.

°C = °K - 273.15

°C = 137.5 °K - 273.15

= -137.7 °C

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