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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