Write the ideal gas equation and give the units for each term. Calculate the temperature in oC when 2.50 moles of argon occupy 25.0 L at 1.20 atm.
Question
Write the ideal gas equation and give the units for each term. Calculate the temperature in °C when 2.50 moles of argon occupy 25.0 L at 1.20 atm.
Solution
The ideal gas equation is PV = nRT, where:
P = pressure (in atmospheres, atm) V = volume (in liters, L) n = number of moles (in moles, mol) R = ideal gas constant (0.0821 L·atm/mol·K) T = temperature (in Kelvin, K)
To calculate the temperature, we rearrange the equation to solve for T:
T = PV / nR
Substituting the given values:
T = (1.20 atm * 25.0 L) / (2.50 mol * 0.0821 L·atm/mol·K) T = 30.0 K
However, the question asks for the temperature in degrees Celsius. To convert from Kelvin to Celsius, we subtract 273.15:
T = 30.0 K - 273.15 = -243.15 °C
So, the temperature is -243.15 °C.
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